FinnAPL idiom library: Difference between revisions

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FinnAPL idiom library (view source)

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{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|1. || Progressive index of (without replacement) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2|1. || Progressive index of (without replacement) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((⍴X)⍴⍋⍋X⍳X,Y)⍳(⍴Y)⍴⍋⍋X⍳Y,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((⍴X)⍴⍋⍋X⍳X,Y)⍳(⍴Y)⍴⍋⍋X⍳Y,X</source>
|}
|}


The entry includes a brief description of what the idiom does, which is followed by the expression <source lang=apl inline>X←A1; Y←A1</source> which specifies the types and ranks of the arguments:
The entry includes a brief description of what the idiom does, which is followed by the expression <syntaxhighlight lang=apl inline>X←A1; Y←A1</source> which specifies the types and ranks of the arguments:


{|class=wikitable
{|class=wikitable
|<source lang=apl inline>A</source>||Any [Numeric, Character or Boolean]
|<syntaxhighlight lang=apl inline>A</source>||Any [Numeric, Character or Boolean]
|-
|-
|<source lang=apl inline>D</source>||Numeric
|<syntaxhighlight lang=apl inline>D</source>||Numeric
|-
|-
|<source lang=apl inline>I</source>||Integer
|<syntaxhighlight lang=apl inline>I</source>||Integer
|-
|-
|<source lang=apl inline>C</source>||Character
|<syntaxhighlight lang=apl inline>C</source>||Character
|-
|-
|<source lang=apl inline>B</source>||Boolean
|<syntaxhighlight lang=apl inline>B</source>||Boolean
|}
|}


A number following the type indicates the rank, e.g.  
A number following the type indicates the rank, e.g.  
{|class=wikitable
{|class=wikitable
|<source lang=apl inline>A0</source>||Any scalar (rank 0)
|<syntaxhighlight lang=apl inline>A0</source>||Any scalar (rank 0)
|-
|-
|<source lang=apl inline>A1</source>||Any vector (rank 1)
|<syntaxhighlight lang=apl inline>A1</source>||Any vector (rank 1)
|-
|-
|<source lang=apl inline>A2</source>||Any matrix (rank 2)
|<syntaxhighlight lang=apl inline>A2</source>||Any matrix (rank 2)
|}
|}
Thus the idiom shown expects two character or numeric vectors, <source lang=apl inline>X</source> and <source lang=apl inline>Y</source>. It will find the index position of each element of <source lang=apl inline>Y</source> in <source lang=apl inline>X</source>, for example:
Thus the idiom shown expects two character or numeric vectors, <syntaxhighlight lang=apl inline>X</source> and <syntaxhighlight lang=apl inline>Y</source>. It will find the index position of each element of <syntaxhighlight lang=apl inline>Y</source> in <syntaxhighlight lang=apl inline>X</source>, for example:


<source lang=apl>
<syntaxhighlight lang=apl>
       X←'which side does an ostrich have its feathers?'
       X←'which side does an ostrich have its feathers?'
       Y←'on the outside, of course!'
       Y←'on the outside, of course!'
Line 51: Line 51:
</source>
</source>
   
   
In this example, the first 'o' character in <source lang=apl inline>Y</source> occurs in at index position 13 in <source lang=apl inline>X</source>, the second one occurs at position 20, and the third and fourth 'o' characters are not present in <source lang=apl inline>X</source>.
In this example, the first 'o' character in <syntaxhighlight lang=apl inline>Y</source> occurs in at index position 13 in <syntaxhighlight lang=apl inline>X</source>, the second one occurs at position 20, and the third and fourth 'o' characters are not present in <syntaxhighlight lang=apl inline>X</source>.


For a more detailed description of how this particular idiom works, see [http://www.sudleyplace.com/APL/AnatomyOfAnIdiom.ahtml this analysis] by Bob Smith.
For a more detailed description of how this particular idiom works, see [http://www.sudleyplace.com/APL/AnatomyOfAnIdiom.ahtml this analysis] by Bob Smith.
== Idiom Library Listing ==
== Idiom Library Listing ==


=== Grade Up <source lang=apl inline>⍋</source> ===
=== Grade Up <syntaxhighlight lang=apl inline>⍋</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|1. || Progressive index of (without replacement) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2|1. || Progressive index of (without replacement) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((⍴X)⍴⍋⍋X⍳X,Y)⍳(⍴Y)⍴⍋⍋X⍳Y,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((⍴X)⍴⍋⍋X⍳X,Y)⍳(⍴Y)⍴⍋⍋X⍳Y,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 2. || Ascending cardinal numbers (ranking, shareable) ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 2. || Ascending cardinal numbers (ranking, shareable) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌊.5×(⍋⍋X)+⌽⍋⍋⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌊.5×(⍋⍋X)+⌽⍋⍋⌽X</source>
|-
|-
|rowspan=2| 3. || Cumulative maxima (<source lang=apl inline>⌈\</source>) of subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←D1</source>
|rowspan=2| 3. || Cumulative maxima (<syntaxhighlight lang=apl inline>⌈\</source>) of subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y[A⍳⌈\A←⍋A[⍋(+\X)[A←⍋Y]]]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y[A⍳⌈\A←⍋A[⍋(+\X)[A←⍋Y]]]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 4. || Cumulative minima (<source lang=apl inline>⌊\</source>) of subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←D1</source>
|rowspan=2| 4. || Cumulative minima (<syntaxhighlight lang=apl inline>⌊\</source>) of subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y[A⍳⌈\A←⍋A[⍋(+\X)[A←⍒Y]]]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y[A⍳⌈\A←⍋A[⍋(+\X)[A←⍒Y]]]</source>
|-
|-
|rowspan=2| 5. || Progressive index of (without replacement) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 5. || Progressive index of (without replacement) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((⍋X⍳X,Y)⍳⍳⍴X)⍳(⍋X⍳Y,X)⍳⍳⍴Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((⍋X⍳X,Y)⍳⍳⍴X)⍳(⍋X⍳Y,X)⍳⍳⍴Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 6. || Test if X and Y are permutations of each other ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 6. || Test if X and Y are permutations of each other ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y[⍋Y]∧.=X[⍋X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y[⍋Y]∧.=X[⍋X]</source>
|-
|-
|rowspan=2| 7. || Test if X is a permutation vector ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 7. || Test if X is a permutation vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X∧.=⍋⍋X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X∧.=⍋⍋X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 8. || Grade up (<source lang=apl inline>⍋</source>) for sorting subvectors of Y having lengths X ||style="text-align: right;"|<source lang=apl inline>Y←D1; X←I1; (⍴Y) ←→ +/X</source>
|rowspan=2| 8. || Grade up (<syntaxhighlight lang=apl inline>⍋</source>) for sorting subvectors of Y having lengths X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←D1; X←I1; (⍴Y) ←→ +/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A[⍋(+\(⍳⍴Y)∊+\⎕IO,X)[A←⍋Y]]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A[⍋(+\(⍳⍴Y)∊+\⎕IO,X)[A←⍋Y]]</source>
|-
|-
|rowspan=2| 9. || Index of the elements of X in Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 9. || Index of the elements of X in Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(((1,A)/B)⌊1+⍴Y)[(⍴Y)↓(+\1,A←(1↓A)≠¯1↓A←A[B])[⍋B←⍋A←Y,X]]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(((1,A)/B)⌊1+⍴Y)[(⍴Y)↓(+\1,A←(1↓A)≠¯1↓A←A[B])[⍋B←⍋A←Y,X]]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 10. || Minima (⌊/) of elements of subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←D1</source>
|rowspan=2| 10. || Minima (⌊/) of elements of subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y[A[X/⍋(+\X)[A←⍋Y]]]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y[A[X/⍋(+\X)[A←⍋Y]]]</source>
|-
|-
|rowspan=2| 11. || Grade up (<source lang=apl inline>⍋</source>) for sorting subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←D1</source>
|rowspan=2| 11. || Grade up (<syntaxhighlight lang=apl inline>⍋</source>) for sorting subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A[⍋(+\X)[A←⍋Y]]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A[⍋(+\X)[A←⍋Y]]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 12. || Occurences of the elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 12. || Occurences of the elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>|-⌿(2,⍴X)⍴⍋⍋X,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>|-⌿(2,⍴X)⍴⍋⍋X,X</source>
|-
|-
|rowspan=2| 13. || Sorting rows of matrix X into ascending order ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 13. || Sorting rows of matrix X into ascending order ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍴X)⍴(,X)[A[⍋(,⍉(⌽⍴X)⍴⍳1↑⍴X)[A←⍋,X]]]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍴X)⍴(,X)[A[⍋(,⍉(⌽⍴X)⍴⍳1↑⍴X)[A←⍋,X]]]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 14. || Adding a new dimension after dimension G Y-fold ||style="text-align: right;"|<source lang=apl inline>G←I0; Y←I0; X←A</source>
|rowspan=2| 14. || Adding a new dimension after dimension G Y-fold ||style="text-align: right;"|<syntaxhighlight lang=apl inline>G←I0; Y←I0; X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍋⍋(G+1),⍳⍴⍴X)⍉(Y,⍴X)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍋⍋(G+1),⍳⍴⍴X)⍉(Y,⍴X)⍴X</source>
|-
|-
|rowspan=2| 15. || Sorting rows of matrix X into ascending order ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 15. || Sorting rows of matrix X into ascending order ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←(⍋,X)-⎕IO ⋄ (⍴X)⍴(,X)[⎕IO+A[⍋⌊A÷¯1↑⍴X]]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←(⍋,X)-⎕IO ⋄ (⍴X)⍴(,X)[⎕IO+A[⍋⌊A÷¯1↑⍴X]]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 16. || Y smallest elements of X in order of occurrence ||style="text-align: right;"|<source lang=apl inline>X←D1, Y←I0</source>
|rowspan=2| 16. || Y smallest elements of X in order of occurrence ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1, Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((⍋⍋X)∊⍳Y)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((⍋⍋X)∊⍳Y)/X</source>
|-
|-
|rowspan=2| 17. || Merging X, Y, Z ... under control of G (mesh) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1; Z←A1; ... ; G←I1</source>
|rowspan=2| 17. || Merging X, Y, Z ... under control of G (mesh) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1; Z←A1; ... ; G←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X,Y,Z,...)[⍋⍋G]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X,Y,Z,...)[⍋⍋G]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 18. || Merging X and Y under control of G (mesh) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1; G←B1</source>
|rowspan=2| 18. || Merging X and Y under control of G (mesh) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1; G←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X,Y)[⍋⍋G]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X,Y)[⍋⍋G]</source>
|-
|-
|rowspan=2| 19. || Ascending cardinal numbers (ranking, all different) ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 19. || Ascending cardinal numbers (ranking, all different) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍋⍋X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍋⍋X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 20. || Grade down (<source lang=apl inline>⍒</source>) for sorting subvectors of Y having lengths X ||style="text-align: right;"|<source lang=apl inline>Y←D1; X←I1; (⍴Y) ←→ +/X</source>
|rowspan=2| 20. || Grade down (<syntaxhighlight lang=apl inline>⍒</source>) for sorting subvectors of Y having lengths X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←D1; X←I1; (⍴Y) ←→ +/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A[⍋(+\(⍳⍴Y)∊+\⎕IO,X)[A←⍒Y]]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A[⍋(+\(⍳⍴Y)∊+\⎕IO,X)[A←⍒Y]]</source>
|-
|-
|rowspan=2| 21. || Maxima (⌈/) of elements of subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←D1</source>
|rowspan=2| 21. || Maxima (⌈/) of elements of subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y[A[X/⍋(+\X)[A←⍒Y]]]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y[A[X/⍋(+\X)[A←⍒Y]]]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 22. || Grade down (<source lang=apl inline>⍒</source>) for sorting subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←D1</source>
|rowspan=2| 22. || Grade down (<syntaxhighlight lang=apl inline>⍒</source>) for sorting subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A[⍋(+\X)[A←⍒Y]]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A[⍋(+\X)[A←⍒Y]]</source>
|-
|-
|rowspan=2| 23. || Y largest elements of X in order of occurrence ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←I0</source>
|rowspan=2| 23. || Y largest elements of X in order of occurrence ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((⍋⍒X)∊⍳Y)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((⍋⍒X)∊⍳Y)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 24. || Merging X and Y under control of G (mesh) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1; G←B1</source>
|rowspan=2| 24. || Merging X and Y under control of G (mesh) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1; G←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y,X)[⍋⍒G]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y,X)[⍋⍒G]</source>
|-
|-
|rowspan=2| 25. || Descending cardinal numbers (ranking, all different) ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 25. || Descending cardinal numbers (ranking, all different) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍋⍒X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍋⍒X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 26. || Sorting rows of X according to key Y (alphabetizing) ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A1</source>
|rowspan=2| 26. || Sorting rows of X according to key Y (alphabetizing) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[⍋(1+⍴Y)⊥Y⍳⍉X;]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[⍋(1+⍴Y)⊥Y⍳⍉X;]</source>
|-
|-
|rowspan=2| 27. || Diagonal ravel ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 27. || Diagonal ravel ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(,X)[⍋+⌿(⍴X)⊤(⍳⍴,X)-⎕IO]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(,X)[⍋+⌿(⍴X)⊤(⍳⍴,X)-⎕IO]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 28. || Grade up according to key Y ||style="text-align: right;"|<source lang=apl inline>Y←A1; X←A1</source>
|rowspan=2| 28. || Grade up according to key Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←A1; X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍋Y⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍋Y⍳X</source>
|-
|-
|rowspan=2| 29. || Test if X is a permutation vector ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 29. || Test if X is a permutation vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[⍋X]∧.=⍳⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[⍋X]∧.=⍳⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 30. || Sorting a matrix into lexicographic order ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 30. || Sorting a matrix into lexicographic order ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[⍋+⌿A<.-⍉A←X,0;]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[⍋+⌿A<.-⍉A←X,0;]</source>
|-
|-
|rowspan=2| 31. || Sorting words in list X according to word length ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 31. || Sorting words in list X according to word length ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[⍋X+.≠' ';]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[⍋X+.≠' ';]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 32. || Classification of X to classes starting with Y ||style="text-align: right;"|<source lang=apl inline>X←D1;Y←D1;Y<.≥1⌽Y</source>
|rowspan=2| 32. || Classification of X to classes starting with Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1;Y←D1;Y<.≥1⌽Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A[(B/C)-⍴Y]←B/+\~B←(⍴Y)<C←⍋Y,X+A←0×X ⋄ A</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A[(B/C)-⍴Y]←B/+\~B←(⍴Y)<C←⍋Y,X+A←0×X ⋄ A</source>
|-
|-
|rowspan=2| 33. || Rotate first elements (<source lang=apl inline>1⌽</source>) of subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←A1</source>
|rowspan=2| 33. || Rotate first elements (<syntaxhighlight lang=apl inline>1⌽</source>) of subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y[⍋X++\X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y[⍋X++\X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 34. || Doubling quotes (for execution) ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 34. || Doubling quotes (for execution) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X,'''')[(⎕IO+⍴X)⌊⍋(⍳⍴X),(''''=X)/⍳⍴X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X,'''')[(⎕IO+⍴X)⌊⍋(⍳⍴X),(''''=X)/⍳⍴X]</source>
|-
|-
|rowspan=2| 35. || Inserting Y <source lang=apl inline>*</source>'s into vector X after indices G ||style="text-align: right;"|<source lang=apl inline>X←C1; Y←I0; G←I1</source>
|rowspan=2| 35. || Inserting Y <syntaxhighlight lang=apl inline>*</source>'s into vector X after indices G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1; Y←I0; G←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X,'*')[(⎕IO+⍴X)⌊⍋(⍳⍴X),(Y×⍴G)⍴G]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X,'*')[(⎕IO+⍴X)⌊⍋(⍳⍴X),(Y×⍴G)⍴G]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 36. || Median<ref>Note: it doesn't average the middle two elements as per median's definition. A more correct idiomatic expression is <source lang=apl inline>0.5×+/X[(⍋X)[|⌈¯0.5 0.5×1+⍴X]]</source></ref> ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 36. || Median<ref>Note: it doesn't average the middle two elements as per median's definition. A more correct idiomatic expression is <syntaxhighlight lang=apl inline>0.5×+/X[(⍋X)[|⌈¯0.5 0.5×1+⍴X]]</source></ref> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[(⍋X)[⌈.5×⍴X]]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[(⍋X)[⌈.5×⍴X]]</source>
|-
|-
|rowspan=2| 37. || Index of last maximum element of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 37. || Index of last maximum element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>¯1↑⍋X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>¯1↑⍋X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 38. || Index of (first) minimum element of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 38. || Index of (first) minimum element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1↑⍋X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1↑⍋X</source>
|-
|-
|rowspan=2| 39. || Expansion vector with zero after indices Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←I1</source>
|rowspan=2| 39. || Expansion vector with zero after indices Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍴X)≥⍋(⍳⍴X),Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍴X)≥⍋(⍳⍴X),Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 40. || Catenating G elements H before indices Y in vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I1; G←I0; H←A0</source>
|rowspan=2| 40. || Catenating G elements H before indices Y in vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I1; G←I0; H←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A←G×⍴,Y ⋄ ((A⍴H),X)[⍋(A⍴Y),⍳⍴X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A←G×⍴,Y ⋄ ((A⍴H),X)[⍋(A⍴Y),⍳⍴X]</source>
|-
|-
|rowspan=2| 41. || Catenating G elements H after indices Y in vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I1; G←I0; H←A0</source>
|rowspan=2| 41. || Catenating G elements H after indices Y in vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I1; G←I0; H←A0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←G×⍴,Y ⋄ (X,A⍴H)[⍋(⍳⍴X),A⍴Y]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←G×⍴,Y ⋄ (X,A⍴H)[⍋(⍳⍴X),A⍴Y]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 42. || Merging X and Y under control of G (mesh) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1; G←B1</source>
|rowspan=2| 42. || Merging X and Y under control of G (mesh) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1; G←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A[⍋G]←A←Y,X ⋄ A</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A[⍋G]←A←Y,X ⋄ A</source>
|-
|-
|rowspan=2| 43. || Sorting a matrix according to Y:th column ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 43. || Sorting a matrix according to Y:th column ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[⍋X[;Y];]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[⍋X[;Y];]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 44. || Sorting indices X according to data Y ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←D1</source>
|rowspan=2| 44. || Sorting indices X according to data Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[⍋Y[X]]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[⍋Y[X]]</source>
|-
|-
|rowspan=2| 45. || Choosing sorting direction during execution ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←I0</source>
|rowspan=2| 45. || Choosing sorting direction during execution ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍋X×(¯1 1)[Y]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍋X×(¯1 1)[Y]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 46. || Sorting Y according to X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 46. || Sorting Y according to X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y[⍋X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y[⍋X]</source>
|-
|-
|rowspan=2| 47. || Sorting X into ascending order ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 47. || Sorting X into ascending order ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[⍋X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[⍋X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 48. || Inverting a permutation ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 48. || Inverting a permutation ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍋X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍋X</source>
|}
|}


=== Grade Down <source lang=apl inline>⍒</source> ===
=== Grade Down <syntaxhighlight lang=apl inline>⍒</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|49. || Reverse vector X on condition Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B0</source>
|rowspan=2|49. || Reverse vector X on condition Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[⍒Y!⍳⍴X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[⍒Y!⍳⍴X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 50. || Sorting a matrix into reverse lexicographic order ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 50. || Sorting a matrix into reverse lexicographic order ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[⍒+⌿A<.-⍉A←X,0;]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[⍒+⌿A<.-⍉A←X,0;]</source>
|-
|-
|rowspan=2| 52. || Reversal (<source lang=apl inline>⌽</source>) of subvectors of X having lengths Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←I1</source>
|rowspan=2| 52. || Reversal (<syntaxhighlight lang=apl inline>⌽</source>) of subvectors of X having lengths Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[⌽⍒+\(⍳⍴X)∊+\⎕IO,Y]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[⌽⍒+\(⍳⍴X)∊+\⎕IO,Y]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 53. || Reversal (<source lang=apl inline>⌽</source>) of subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←A1</source>
|rowspan=2| 53. || Reversal (<syntaxhighlight lang=apl inline>⌽</source>) of subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y[⌽⍒+\X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y[⌽⍒+\X]</source>
|-
|-
|rowspan=2| 55. || Indices of ones in logical vector X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 55. || Indices of ones in logical vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(+/X)↑⍒X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(+/X)↑⍒X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 56. || Index of first maximum element of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 56. || Index of first maximum element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1↑⍒X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1↑⍒X</source>
|-
|-
|rowspan=2| 57. || Moving all blanks to end of text ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 57. || Moving all blanks to end of text ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[⍒' '≠X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[⍒' '≠X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 58. || Sorting X into descending order ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 58. || Sorting X into descending order ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[⍒X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[⍒X]</source>
|-
|-
|rowspan=2| 59. || Moving elements satisfying condition Y to the start of X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B1</source>
|rowspan=2| 59. || Moving elements satisfying condition Y to the start of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[⍒Y]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[⍒Y]</source>
|}
|}


=== Matrix Inversion / Matrix Division <source lang=apl inline>⌹</source> ===
=== Matrix Inversion / Matrix Division <syntaxhighlight lang=apl inline>⌹</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|60. || Interpolated value of series (X,Y) at G ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1; G←D0</source>
|rowspan=2|60. || Interpolated value of series (X,Y) at G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1; G←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>G⊥Y⌹X∘.*⌽-⎕IO-⍳⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>G⊥Y⌹X∘.*⌽-⎕IO-⍳⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 61. || Predicted values of exponential (curve) fit ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 61. || Predicted values of exponential (curve) fit ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>*A+.×(⍟Y)⌹A←X∘.*0 1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>*A+.×(⍟Y)⌹A←X∘.*0 1</source>
|-
|-
|rowspan=2| 62. || Coefficients of exponential (curve) fit of points (X,Y) ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 62. || Coefficients of exponential (curve) fit of points (X,Y) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←(⍟Y)⌹X∘.*0 1 ⋄ A[1]←*A[1] ⋄ A</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←(⍟Y)⌹X∘.*0 1 ⋄ A[1]←*A[1] ⋄ A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 63. || Predicted values of best linear fit (least squares) ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 63. || Predicted values of best linear fit (least squares) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A+.×Y⌹A←X∘.*0 1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A+.×Y⌹A←X∘.*0 1</source>
|-
|-
|rowspan=2| 64. || G-degree polynomial (curve) fit of points (X,Y) ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 64. || G-degree polynomial (curve) fit of points (X,Y) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌽Y⌹X∘.*0,⍳G</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌽Y⌹X∘.*0,⍳G</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 65. || Best linear fit of points (X,Y) (least squares) ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 65. || Best linear fit of points (X,Y) (least squares) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y⌹X∘.*0 1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y⌹X∘.*0 1</source>
|}
|}


=== Decode <source lang=apl inline>⊥</source> ===
=== Decode <syntaxhighlight lang=apl inline>⊥</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|66. || Binary format of decimal number X ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2|66. || Binary format of decimal number X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍕10⊥((1+⌈2⍟⌈/,X)⍴2)⊤X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍕10⊥((1+⌈2⍟⌈/,X)⍴2)⊤X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 67. || Barchart of two integer series (across the page) ||style="text-align: right;"|<source lang=apl inline>X←I2; 1⍴⍴X ←→ 2</source>
|rowspan=2| 67. || Barchart of two integer series (across the page) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I2; 1⍴⍴X ←→ 2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>' *○⍟'[⎕IO+2⊥X∘.≥⍳⌈/,X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>' *○⍟'[⎕IO+2⊥X∘.≥⍳⌈/,X]</source>
|-
|-
|rowspan=2| 68. || Case structure with an encoded branch destination ||style="text-align: right;"|<source lang=apl inline>Y←I1; X←B1</source>
|rowspan=2| 68. || Case structure with an encoded branch destination ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←I1; X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>→Y[1+2⊥X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>→Y[1+2⊥X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 69. || Representation of current time (24 hour clock) ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 69. || Representation of current time (24 hour clock) ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A←⍕1000⊥3↑3↓⎕TS ⋄ A[3 6]←':' ⋄ A</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A←⍕1000⊥3↑3↓⎕TS ⋄ A[3 6]←':' ⋄ A</source>
|-
|-
|rowspan=2| 70. || Representation of current date (descending format) ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 70. || Representation of current date (descending format) ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←⍕1000⊥3↑⎕TS ⋄ A[5 8]←'-' ⋄ A</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←⍕1000⊥3↑⎕TS ⋄ A[5 8]←'-' ⋄ A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 71. || Representation of current time (12 hour clock) ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 71. || Representation of current time (12 hour clock) ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(1⌽,' ::',3 2⍴6 0⍕100⊥12 0 0|3↑3↓⎕TS),'AP'[1+12≤⎕TS[4]],'M'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(1⌽,' ::',3 2⍴6 0⍕100⊥12 0 0|3↑3↓⎕TS),'AP'[1+12≤⎕TS[4]],'M'</source>
|-
|-
|rowspan=2| 73. || Removing duplicate rows ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 73. || Removing duplicate rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((A⍳A)=⍳⍴A←2⊥X∧.=⍉X)⌿X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((A⍳A)=⍳⍴A←2⊥X∧.=⍉X)⌿X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 74. || Conversion from hexadecimal to decimal ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 74. || Conversion from hexadecimal to decimal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>16⊥-⎕IO-'0123456789ABCDEF'⍳⍉X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>16⊥-⎕IO-'0123456789ABCDEF'⍳⍉X</source>
|-
|-
|rowspan=2| 75. || Conversion of alphanumeric string into numeric ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 75. || Conversion of alphanumeric string into numeric ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>10⊥¯1+'0123456789'⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>10⊥¯1+'0123456789'⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 76. || Value of polynomial with coefficients Y at points X ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 76. || Value of polynomial with coefficients Y at points X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X∘.+,0)⊥Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X∘.+,0)⊥Y</source>
|-
|-
|rowspan=2| 77. || Changing connectivity list X to a connectivity matrix ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 77. || Changing connectivity list X to a connectivity matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←(×/B←0 0+⌈/,X)⍴0 ⋄ A[⎕IO+B[1]⊥-⎕IO-X]←1 ⋄ B⍴A</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←(×/B←0 0+⌈/,X)⍴0 ⋄ A[⎕IO+B[1]⊥-⎕IO-X]←1 ⋄ B⍴A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 78. || Present value of cash flows X at interest rate Y % ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D0</source>
|rowspan=2| 78. || Present value of cash flows X at interest rate Y % ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(÷1+Y÷100)⊥⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(÷1+Y÷100)⊥⌽X</source>
|-
|-
|rowspan=2| 79. || Justifying right ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 79. || Justifying right ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1-(' '=X)⊥1)⌽X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1-(' '=X)⊥1)⌽X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 80. || Number of days in month X of years Y (for all leap years) ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I</source>
|rowspan=2| 80. || Number of days in month X of years Y (for all leap years) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(12⍴7⍴31 30)[X]-0⌈¯1+2⊥(X=2),[.1](0≠400|Y)-(0≠100|Y)-0≠4|Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(12⍴7⍴31 30)[X]-0⌈¯1+2⊥(X=2),[.1](0≠400|Y)-(0≠100|Y)-0≠4|Y</source>
|-
|-
|rowspan=2| 81. || Number of days in month X of years Y (for most leap years) ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I</source>
|rowspan=2| 81. || Number of days in month X of years Y (for most leap years) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(12⍴7⍴31 30)[X]-0⌈¯1+2⊥(X=2),[.1]0≠4|Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(12⍴7⍴31 30)[X]-0⌈¯1+2⊥(X=2),[.1]0≠4|Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 82. || Encoding current date ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 82. || Encoding current date ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>100⊥100|3↑⎕TS</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>100⊥100|3↑⎕TS</source>
|-
|-
|rowspan=2| 83. || Removing trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 83. || Removing trailing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1-(' '=X)⊥1)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1-(' '=X)⊥1)↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 84. || Index of first non-blank, counted from the rear ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 84. || Index of first non-blank, counted from the rear ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(' '=X)⊥1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(' '=X)⊥1</source>
|-
|-
|rowspan=2| 85. || Indexing scattered elements ||style="text-align: right;"|<source lang=apl inline>X←A; Y←I2</source>
|rowspan=2| 85. || Indexing scattered elements ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←I2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(,X)[⎕IO+(⍴X)⊥Y-⎕IO]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(,X)[⎕IO+(⍴X)⊥Y-⎕IO]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 86. || Conversion of indices Y of array X to indices of raveled X ||style="text-align: right;"|<source lang=apl inline>X←A; Y←I2</source>
|rowspan=2| 86. || Conversion of indices Y of array X to indices of raveled X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←I2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕IO+(⍴X)⊥Y-⎕IO</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕IO+(⍴X)⊥Y-⎕IO</source>
|-
|-
|rowspan=2| 87. || Number of columns in array X as a scalar ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 87. || Number of columns in array X as a scalar ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0⊥⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0⊥⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 88. || Future value of cash flows X at interest rate Y % ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D0</source>
|rowspan=2| 88. || Future value of cash flows X at interest rate Y % ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(1+Y÷100)⊥X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(1+Y÷100)⊥X</source>
|-
|-
|rowspan=2| 89. || Sum of the elements of vector X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 89. || Sum of the elements of vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1⊥X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1⊥X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 90. || Last element of numeric vector X as a scalar ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 90. || Last element of numeric vector X as a scalar ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0⊥X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0⊥X</source>
|-
|-
|rowspan=2| 91. || Last row of matrix X as a vector ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 91. || Last row of matrix X as a vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0⊥X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0⊥X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 92. || Integer representation of logical vectors ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 92. || Integer representation of logical vectors ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>2⊥X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>2⊥X</source>
|-
|-
|rowspan=2| 93. || Value of polynomial with coefficients Y at point X ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D</source>
|rowspan=2| 93. || Value of polynomial with coefficients Y at point X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X⊥Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X⊥Y</source>
|}
|}


=== Encode <source lang=apl inline>⊤</source> ===
=== Encode <syntaxhighlight lang=apl inline>⊤</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=4|94. || Conversion from decimal to hexadecimal (<source lang=apl inline>X=1..255</source>) ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=4|94. || Conversion from decimal to hexadecimal (<syntaxhighlight lang=apl inline>X=1..255</source>) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍉'0123456789ABCDEF'[⎕IO+((⌈⌈/16⍟,X)⍴16)⊤X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍉'0123456789ABCDEF'[⎕IO+((⌈⌈/16⍟,X)⍴16)⊤X]</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"| this alternative opens the range to 0..⌊/⍳0
|colspan=2 style="background-color: #F5F5F5"| this alternative opens the range to 0..⌊/⍳0
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍉'0123456789ABCDEF'[⎕IO+((1+⌊16⍟⌈/X+X=0)⍴16)⊤X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍉'0123456789ABCDEF'[⎕IO+((1+⌊16⍟⌈/X+X=0)⍴16)⊤X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 95. || All binary representations up to X (truth table) ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 95. || All binary representations up to X (truth table) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((⌈2⍟1+X)⍴2)⊤0,⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((⌈2⍟1+X)⍴2)⊤0,⍳X</source>
|-
|-
|rowspan=2| 96. || Representation of X in base Y ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D0</source>
|rowspan=2| 96. || Representation of X in base Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((1+⌊Y⍟X)⍴Y)⊤X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((1+⌊Y⍟X)⍴Y)⊤X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 97. || Digits of X separately ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 97. || Digits of X separately ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((1+⌊10⍟X)⍴10)⊤X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((1+⌊10⍟X)⍴10)⊤X</source>
|-
|-
|rowspan=2| 98. || Helps locating column positions 1..X ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 98. || Helps locating column positions 1..X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1 0⍕10 10⊤1-⎕IO-⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1 0⍕10 10⊤1-⎕IO-⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 99. || Conversion of characters to hexadecimal representation (<source lang=apl inline>⎕AV</source>) ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 99. || Conversion of characters to hexadecimal representation (<syntaxhighlight lang=apl inline>⎕AV</source>) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>,' ',⍉'0123456789ABCDEF'[⎕IO+16 16⊤-⎕IO-⎕AV⍳X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>,' ',⍉'0123456789ABCDEF'[⎕IO+16 16⊤-⎕IO-⎕AV⍳X]</source>
|-
|-
|rowspan=2| 100. || Polynomial with roots X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 100. || Polynomial with roots X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌽((0,⍳⍴X)∘.=+⌿~A)+.×(-X)×.*A←((⍴X)⍴2)⊤¯1+⍳2*⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌽((0,⍳⍴X)∘.=+⌿~A)+.×(-X)×.*A←((⍴X)⍴2)⊤¯1+⍳2*⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 101. || Index pairs of saddle points ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 101. || Index pairs of saddle points ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕IO+(⍴X)⊤-⎕IO-(,(X=(⍴X)⍴⌈⌿X)∧X=⍉(⌽⍴X)⍴⌊/X)/⍳×/⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕IO+(⍴X)⊤-⎕IO-(,(X=(⍴X)⍴⌈⌿X)∧X=⍉(⌽⍴X)⍴⌊/X)/⍳×/⍴X</source>
|-
|-
|rowspan=2| 102. || Changing connectivity matrix X to a connectivity list ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 102. || Changing connectivity matrix X to a connectivity list ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(,X)/1+A⊤¯1+⍳×/A←⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(,X)/1+A⊤¯1+⍳×/A←⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 103. || Matrix of all indices of X ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 103. || Matrix of all indices of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕IO+(⍴X)⊤(⍳×/⍴X)-⎕IO</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕IO+(⍴X)⊤(⍳×/⍴X)-⎕IO</source>
|-
|-
|rowspan=2| 104. || Separating a date YYMMDD to YY, MM, DD ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 104. || Separating a date YYMMDD to YY, MM, DD ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍉(3⍴100)⊤X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍉(3⍴100)⊤X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 105. || Indices of elements Y in array X ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A</source>
|rowspan=2| 105. || Indices of elements Y in array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕IO+(⍴X)⊤(-⎕IO)+(,X∊Y)/⍳⍴,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕IO+(⍴X)⊤(-⎕IO)+(,X∊Y)/⍳⍴,X</source>
|-
|-
|rowspan=2| 106. || All pairs of elements of <source lang=apl inline>⍳X</source> and <source lang=apl inline>⍳Y</source> ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I0</source>
|rowspan=2| 106. || All pairs of elements of <syntaxhighlight lang=apl inline>⍳X</source> and <syntaxhighlight lang=apl inline>⍳Y</source> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⎕IO+(X,Y)⊤(⍳X×Y)-⎕IO</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⎕IO+(X,Y)⊤(⍳X×Y)-⎕IO</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 107. || Matrix for choosing all subsets of X (truth table) ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 107. || Matrix for choosing all subsets of X (truth table) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((⍴X)⍴2)⊤¯1+⍳2*⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((⍴X)⍴2)⊤¯1+⍳2*⍴X</source>
|-
|-
|rowspan=2| 108. || All binary representations with X bits (truth table) ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 108. || All binary representations with X bits (truth table) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X⍴2)⊤¯1+⍳2*X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X⍴2)⊤¯1+⍳2*X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 109. || Incrementing cyclic counter X with upper limit Y ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D0</source>
|rowspan=2| 109. || Incrementing cyclic counter X with upper limit Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1+Y⊤X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1+Y⊤X</source>
|-
|-
|rowspan=2| 110. || Decoding numeric code ABBCCC into a matrix ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 110. || Decoding numeric code ABBCCC into a matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>10 100 1000⊤X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>10 100 1000⊤X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 111. || Integer and fractional parts of positive numbers ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 111. || Integer and fractional parts of positive numbers ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0 1⊤X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0 1⊤X</source>
|}
|}


=== Logarithm <source lang=apl inline>⍟</source> ===
=== Logarithm <syntaxhighlight lang=apl inline>⍟</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|112. || Number of decimals of elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2|112. || Number of decimals of elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌊10⍟(⍎('.'≠A)/A←⍕X)÷X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌊10⍟(⍎('.'≠A)/A←⍕X)÷X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 113. || Number of sortable columns at a time using <source lang=apl inline>⊥</source> and alphabet X ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 113. || Number of sortable columns at a time using <syntaxhighlight lang=apl inline>⊥</source> and alphabet X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌊(1+⍴X)⍟2*(A=¯1+A←2*⍳128)⍳1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌊(1+⍴X)⍟2*(A=¯1+A←2*⍳128)⍳1</source>
|-
|-
|rowspan=2| 114. || Playing order in a cup for X ranked players ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 114. || Playing order in a cup for X ranked players ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>,⍉(A⍴2)⍴(2*A←⌈2⍟X)↑⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>,⍉(A⍴2)⍴(2*A←⌈2⍟X)↑⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 115. || Arithmetic precision of the system (in decimals) ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 115. || Arithmetic precision of the system (in decimals) ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌊|10⍟|1-3×÷3</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌊|10⍟|1-3×÷3</source>
|-
|-
|rowspan=2| 116. || Number of digitpositions in integers in X ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 116. || Number of digitpositions in integers in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1+(X<0)+⌊10⍟|X+0=X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1+(X<0)+⌊10⍟|X+0=X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 117. || Number of digit positions in integers in X ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 117. || Number of digit positions in integers in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1+⌊10⍟(X=0)+X×(1 ¯10)[1+X<0]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1+⌊10⍟(X=0)+X×(1 ¯10)[1+X<0]</source>
|-
|-
|rowspan=2| 118. || Number of digits in positive integers in X ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 118. || Number of digits in positive integers in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1+⌊10⍟X+0=X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1+⌊10⍟X+0=X</source>
|}
|}


=== Branch <source lang=apl inline>→</source> ===
=== Branch <syntaxhighlight lang=apl inline>→</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|119. || Case structure according to key vector G ||style="text-align: right;"|<source lang=apl inline>X←A0; Y←I1; G←A1</source>
|rowspan=2|119. || Case structure according to key vector G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A0; Y←I1; G←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>→Y[G⍳X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>→Y[G⍳X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 120. || Forming a transitive closure ||style="text-align: right;"|<source lang=apl inline>X←B2</source>
|rowspan=2| 120. || Forming a transitive closure ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>→⎕LC⌈⍳∨/,(X←X∨X∨.∧X)≠+X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>→⎕LC⌈⍳∨/,(X←X∨X∨.∧X)≠+X</source>
|-
|-
|rowspan=2| 121. || Case structure with integer switch ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I1</source>
|rowspan=2| 121. || Case structure with integer switch ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>→X⌽Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>→X⌽Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 122. || For-loop ending construct ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I0; G←I0</source>
|rowspan=2| 122. || For-loop ending construct ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I0; G←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>→Y⌈⍳G≥X←X+1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>→Y⌈⍳G≥X←X+1</source>
|-
|-
|rowspan=2| 123. || Conditional branch to line Y ||style="text-align: right;"|<source lang=apl inline>X←B0; Y←I0; Y>0</source>
|rowspan=2| 123. || Conditional branch to line Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B0; Y←I0; Y>0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>→Y⌈⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>→Y⌈⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 124. || Conditional branch out of program ||style="text-align: right;"|<source lang=apl inline>X←B0</source>
|rowspan=2| 124. || Conditional branch out of program ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>→0⌊⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>→0⌊⍳X</source>
|-
|-
|rowspan=2| 125. || Conditional branch depending on sign of X ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I1</source>
|rowspan=2| 125. || Conditional branch depending on sign of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>→Y[2+×X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>→Y[2+×X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 126. || Continuing from line Y (if X>0) or exit ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←I0</source>
|rowspan=2| 126. || Continuing from line Y (if X>0) or exit ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>→Y××X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>→Y××X</source>
|-
|-
|rowspan=2| 127. || Case structure using levels with limits G ||style="text-align: right;"|<source lang=apl inline>X←D0; G←D1; Y←I1</source>
|rowspan=2| 127. || Case structure using levels with limits G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; G←D1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>→(X≥G)/Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>→(X≥G)/Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 128. || Case structure with logical switch (preferring from start) ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←I1</source>
|rowspan=2| 128. || Case structure with logical switch (preferring from start) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>→X/Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>→X/Y</source>
|-
|-
|rowspan=2| 129. || Conditional branch out of program ||style="text-align: right;"|<source lang=apl inline>X←B0</source>
|rowspan=2| 129. || Conditional branch out of program ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>→0×⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>→0×⍳X</source>
|}
|}


=== Execute <source lang=apl inline>⍎</source> ===
=== Execute <syntaxhighlight lang=apl inline>⍎</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|132. || Test for symmetricity of matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2|132. || Test for symmetricity of matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍎⍎'1','↑↓'[⎕IO+∧/(⍴X)=⌽⍴X],'''0~0∊X=⍉X'''</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍎⍎'1','↑↓'[⎕IO+∧/(⍴X)=⌽⍴X],'''0~0∊X=⍉X'''</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 133. || Using a variable named according to X ||style="text-align: right;"|<source lang=apl inline>X←A0; Y←A</source>
|rowspan=2| 133. || Using a variable named according to X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A0; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍎'VAR',(⍕X),'←Y'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍎'VAR',(⍕X),'←Y'</source>
|-
|-
|rowspan=2| 134. || Rounding to <source lang=apl inline>⎕PP</source> precision ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 134. || Rounding to <syntaxhighlight lang=apl inline>⎕PP</source> precision ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍎⍕X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍎⍕X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 135. || Convert character or numeric data into numeric ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 135. || Convert character or numeric data into numeric ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍎⍕X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍎⍕X</source>
|-
|-
|rowspan=2| 136. || Reshaping only one-element numeric vector X into a scalar ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 136. || Reshaping only one-element numeric vector X into a scalar ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍎⍕X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍎⍕X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 137. || Graph of F(X) at points X ('X'∊F) ||style="text-align: right;"|<source lang=apl inline>F←A1; X←D1</source>
|rowspan=2| 137. || Graph of F(X) at points X ('X'∊F) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>F←A1; X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>' *'[⎕IO+(⌽(¯1+⌊/A)+⍳1+(⌈/A)-⌊/A)∘.=A←⌊.5+⍎F]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>' *'[⎕IO+(⌽(¯1+⌊/A)+⍳1+(⌈/A)-⌊/A)∘.=A←⌊.5+⍎F]</source>
|-
|-
|rowspan=2| 138. || Conversion of each row to a number (default zero) ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 138. || Conversion of each row to a number (default zero) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X∨.≠' ')\1↓⍎'0 ',,X,' '</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X∨.≠' ')\1↓⍎'0 ',,X,' '</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 139. || Test for symmetricity of matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 139. || Test for symmetricity of matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍎(¯7*A∧.=⌽A←⍴X)↑'0~0∊X=⍉X'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍎(¯7*A∧.=⌽A←⍴X)↑'0~0∊X=⍉X'</source>
|-
|-
|rowspan=2| 140. || Execution of expression X with default value Y ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 140. || Execution of expression X with default value Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍎((X∧.=' ')/'Y'),X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍎((X∧.=' ')/'Y'),X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 141. || Changing X if a new input value is given ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 141. || Changing X if a new input value is given ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X←⍎,((2↑'X'),' ',[.5]A)[⎕IO+~' '∧.=A←⍞;]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X←⍎,((2↑'X'),' ',[.5]A)[⎕IO+~' '∧.=A←⍞;]</source>
|-
|-
|rowspan=2| 142. || Definite integral of F(X) in range Y with G steps ('X'∊F) ||style="text-align: right;"|<source lang=apl inline>F←A1; G←D0; Y←D1; ⍴Y ←→ 2</source>
|rowspan=2| 142. || Definite integral of F(X) in range Y with G steps ('X'∊F) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>F←A1; G←D0; Y←D1; ⍴Y ←→ 2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A+.×⍎F,0⍴X←Y[1]+(A←--/Y÷G)×0,⍳G</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A+.×⍎F,0⍴X←Y[1]+(A←--/Y÷G)×0,⍳G</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 143. || Test if numeric and conversion to numeric form ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 143. || Test if numeric and conversion to numeric form ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1↓⍎'0 ',(∧/X∊' 0123456789')/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1↓⍎'0 ',(∧/X∊' 0123456789')/X</source>
|-
|-
|rowspan=2| 144. || Tests the social security number (Finnish) ||style="text-align: right;"|<source lang=apl inline>Y←'01...9ABC...Z'; 10=⍴X</source>
|rowspan=2| 144. || Tests the social security number (Finnish) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←'01...9ABC...Z'; 10=⍴X</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(¯1↑X)=((~Y∊'GIOQ')/Y)[1+31|⍎9↑X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(¯1↑X)=((~Y∊'GIOQ')/Y)[1+31|⍎9↑X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 145. || Conditional execution ||style="text-align: right;"|<source lang=apl inline>X←B0</source>
|rowspan=2| 145. || Conditional execution ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍎X/'EXPRESSION'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍎X/'EXPRESSION'</source>
|-
|-
|rowspan=2| 146. || Conditional branch out of programs ||style="text-align: right;"|<source lang=apl inline>X←B0</source>
|rowspan=2| 146. || Conditional branch out of programs ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍎X/'→'</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍎X/'→'</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 147. || Using default value 100 if X does not exist ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 147. || Using default value 100 if X does not exist ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍎(¯3*2≠⎕NC 'X')↑'X100'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍎(¯3*2≠⎕NC 'X')↑'X100'</source>
|-
|-
|rowspan=2| 148. || Conditional execution ||style="text-align: right;"|<source lang=apl inline>X←B0</source>
|rowspan=2| 148. || Conditional execution ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍎X↓'⍝ ...'</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍎X↓'⍝ ...'</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 149. || Giving a numeric default value for input ||style="text-align: right;"|<source lang=apl inline>X←D0</source>
|rowspan=2| 149. || Giving a numeric default value for input ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1⍴(⍎⍞,',⍳0'),X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1⍴(⍎⍞,',⍳0'),X</source>
|-
|-
|rowspan=2| 150. || Assign values of expressions in X to variables named in Y ||style="text-align: right;"|<source lang=apl inline>X←C2; Y←C2</source>
|rowspan=2| 150. || Assign values of expressions in X to variables named in Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2; Y←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←⍎,',','(','0','⍴',Y,'←',X,')'</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←⍎,',','(','0','⍴',Y,'←',X,')'</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 151. || Evaluation of several expressions; results form a vector ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 151. || Evaluation of several expressions; results form a vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍎,',','(',',',X,')'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍎,',','(',',',X,')'</source>
|-
|-
|rowspan=2| 152. || Sum of numbers in character matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 152. || Sum of numbers in character matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍎,'+',X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍎,'+',X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 153. || Indexing when rank is not known beforehand ||style="text-align: right;"|<source lang=apl inline>X←A; Y←I</source>
|rowspan=2| 153. || Indexing when rank is not known beforehand ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍎'X[',((¯1+⍴⍴X)⍴';'),'Y]'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍎'X[',((¯1+⍴⍴X)⍴';'),'Y]'</source>
|}
|}


=== Format <source lang=apl inline>⍕</source> ===
=== Format <syntaxhighlight lang=apl inline>⍕</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|154. || Numeric headers (elements of X) for rows of table Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←A2</source>
|rowspan=2|154. || Numeric headers (elements of X) for rows of table Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(3⌽7 0⍕X∘.+,0),⍕Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(3⌽7 0⍕X∘.+,0),⍕Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 155. || Formatting a numerical vector to run down the page ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 155. || Formatting a numerical vector to run down the page ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍕X∘.+,0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍕X∘.+,0</source>
|-
|-
|rowspan=2| 156. || Representation of current date (ascending format) ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 156. || Representation of current date (ascending format) ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←⍕⌽3↑⎕TS ⋄ A[(' '=A)/⍳⍴A]←'.' ⋄ A</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←⍕⌽3↑⎕TS ⋄ A[(' '=A)/⍳⍴A]←'.' ⋄ A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 157. || Representation of current date (American) ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 157. || Representation of current date (American) ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A←⍕100|1⌽3↑⎕TS ⋄ A[(' '=A)/⍳⍴A]←'/' ⋄ A</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A←⍕100|1⌽3↑⎕TS ⋄ A[(' '=A)/⍳⍴A]←'/' ⋄ A</source>
|-
|-
|rowspan=2| 158. || Formatting with zero values replaced with blanks ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 158. || Formatting with zero values replaced with blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍴A)⍴B\(B←,('0'≠A)∨' '≠¯1⌽A)/,A←' ',⍕X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍴A)⍴B\(B←,('0'≠A)∨' '≠¯1⌽A)/,A←' ',⍕X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 159. || Number of digit positions in scalar X (depends on <source lang=apl inline>⎕PP</source>) ||style="text-align: right;"|<source lang=apl inline>X←D0</source>
|rowspan=2| 159. || Number of digit positions in scalar X (depends on <syntaxhighlight lang=apl inline>⎕PP</source>) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍴⍕X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍴⍕X</source>
|-
|-
|rowspan=2| 160. || Leading zeroes for X in fields of width Y ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I0; X≥0</source>
|rowspan=2| 160. || Leading zeroes for X in fields of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←I0; X≥0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0 1↓(2↑Y+1)⍕X∘.+,10*Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0 1↓(2↑Y+1)⍕X∘.+,10*Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 161. || Row-by-row formatting (width G) of X with Y decimals per row ||style="text-align: right;"|<source lang=apl inline>X←D2; Y←I1; G←I0</source>
|rowspan=2| 161. || Row-by-row formatting (width G) of X with Y decimals per row ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2; Y←I1; G←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((1,G)×⍴X)⍴2 1 3⍉(⌽G,⍴X)⍴(,G,[1.1]Y)⍕⍉X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((1,G)×⍴X)⍴2 1 3⍉(⌽G,⍴X)⍴(,G,[1.1]Y)⍕⍉X</source>
|-
|-
|rowspan=2| 163. || Formatting X with H decimals in fields of width G ||style="text-align: right;"|<source lang=apl inline>X←D; G←I1; H←I1</source>
|rowspan=2| 163. || Formatting X with H decimals in fields of width G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; G←I1; H←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(,G,[1.1]H)⍕X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(,G,[1.1]H)⍕X</source>
|}
|}


=== Roll / Deal <source lang=apl inline>?</source> ===
=== Roll / Deal <syntaxhighlight lang=apl inline>?</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|164. || Y-shaped array of random numbers within ( X[1],X[2] ] ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I1</source>
|rowspan=2|164. || Y-shaped array of random numbers within ( X[1],X[2] ] ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[1]+?Y⍴--/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[1]+?Y⍴--/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 165. || Removing punctuation characters ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 165. || Removing punctuation characters ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(~X∊' .,:;?''')/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(~X∊' .,:;?''')/X</source>
|-
|-
|rowspan=2| 166. || Choosing Y objects out of <source lang=apl inline>⍳X</source> with replacement (roll) ||style="text-align: right;"|<source lang=apl inline>Y←I; X←I</source>
|rowspan=2| 166. || Choosing Y objects out of <syntaxhighlight lang=apl inline>⍳X</source> with replacement (roll) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←I; X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>?Y⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>?Y⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 167. || Choosing Y objects out of <source lang=apl inline>⍳X</source> without replacement (deal) ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I0</source>
|rowspan=2| 167. || Choosing Y objects out of <syntaxhighlight lang=apl inline>⍳X</source> without replacement (deal) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y?X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y?X</source>
|}
|}


=== Geometrical Functions <source lang=apl inline>○</source> ===
=== Geometrical Functions <syntaxhighlight lang=apl inline>○</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|168. || Arctan Y÷X ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2|168. || Arctan Y÷X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((X≠0)ׯ3○Y÷X+X=0)+○((X=0)×.5××Y)+(X<0)×1-2×Y<0</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((X≠0)ׯ3○Y÷X+X=0)+○((X=0)×.5××Y)+(X<0)×1-2×Y<0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 169. || Conversion from degrees to radians ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 169. || Conversion from degrees to radians ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X×○÷180</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X×○÷180</source>
|-
|-
|rowspan=2| 170. || Conversion from radians to degrees ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 170. || Conversion from radians to degrees ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X×180÷○1</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X×180÷○1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 171. || Rotation matrix for angle X (in radians) counter-clockwise ||style="text-align: right;"|<source lang=apl inline>X←D0</source>
|rowspan=2| 171. || Rotation matrix for angle X (in radians) counter-clockwise ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>2 2⍴1 ¯1 1 1×2 1 1 2○X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>2 2⍴1 ¯1 1 1×2 1 1 2○X</source>
|}
|}


=== Factorial / Binomial <source lang=apl inline>!</source> ===
=== Factorial / Binomial <syntaxhighlight lang=apl inline>!</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|172. || Number of permutations of X objects taken Y at a time ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2|172. || Number of permutations of X objects taken Y at a time ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(!Y)×Y!X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(!Y)×Y!X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 173. || Value of Taylor series with coefficients Y at point X ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D1</source>
|rowspan=2| 173. || Value of Taylor series with coefficients Y at point X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+/Y×(X*A)÷!A←¯1+⍳⍴Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+/Y×(X*A)÷!A←¯1+⍳⍴Y</source>
|-
|-
|rowspan=2| 174. || Poisson distribution of states X with average number Y ||style="text-align: right;"|<source lang=apl inline>X←I; Y←D0</source>
|rowspan=2| 174. || Poisson distribution of states X with average number Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I; Y←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(*-Y)×(Y*X)÷!X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(*-Y)×(Y*X)÷!X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 175. || Gamma function ||style="text-align: right;"|<source lang=apl inline>X←D0</source>
|rowspan=2| 175. || Gamma function ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>!X-1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>!X-1</source>
|-
|-
|rowspan=2| 176. || Binomial distribution of X trials with probability Y ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←D0</source>
|rowspan=2| 176. || Binomial distribution of X trials with probability Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(A!X)×(Y*A)×(1-Y)*X-A←-⎕IO-⍳X+1</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(A!X)×(Y*A)×(1-Y)*X-A←-⎕IO-⍳X+1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 177. || Beta function ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D0</source>
|rowspan=2| 177. || Beta function ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>÷Y×(X-1)!Y+X-1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>÷Y×(X-1)!Y+X-1</source>
|-
|-
|rowspan=2| 178. || Selecting elements satisfying condition X, others to 1 ||style="text-align: right;"|<source lang=apl inline>X←B; Y←D</source>
|rowspan=2| 178. || Selecting elements satisfying condition X, others to 1 ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X!Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X!Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 179. || Number of combinations of X objects taken Y at a time ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2| 179. || Number of combinations of X objects taken Y at a time ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y!X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y!X</source>
|}
|}


=== Index Of <source lang=apl inline>⍳</source> ===
=== Index Of <syntaxhighlight lang=apl inline>⍳</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|180. || Removing elements Y from beginning and end of vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2|180. || Removing elements Y from beginning and end of vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((A⍳1)-⎕IO)↓(⎕IO-(⌽A←~X∊Y)⍳1)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((A⍳1)-⎕IO)↓(⎕IO-(⌽A←~X∊Y)⍳1)↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 181. || Alphabetical comparison with alphabets G ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A</source>
|rowspan=2| 181. || Alphabetical comparison with alphabets G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(G⍳X)<G⍳Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(G⍳X)<G⍳Y</source>
|-
|-
|rowspan=2| 183. || Sum over elements of X determined by elements of Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 183. || Sum over elements of X determined by elements of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X+.×Y∘.=((⍳⍴Y)=Y⍳Y)/Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X+.×Y∘.=((⍳⍴Y)=Y⍳Y)/Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 184. || First occurrence of string X in string Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 184. || First occurrence of string X in string Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(∧⌿(¯1+⍳⍴X)⌽X∘.=Y)⍳1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(∧⌿(¯1+⍳⍴X)⌽X∘.=Y)⍳1</source>
|-
|-
|rowspan=2| 185. || Removing duplicate rows ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 185. || Removing duplicate rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((A⍳A)=⍳⍴A←⎕IO++⌿∧⍀X∨.≠⍉X)⌿X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((A⍳A)=⍳⍴A←⎕IO++⌿∧⍀X∨.≠⍉X)⌿X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 186. || First occurrence of string X in matrix Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A2; ¯1↑⍴Y←→⍴X</source>
|rowspan=2| 186. || First occurrence of string X in matrix Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A2; ¯1↑⍴Y←→⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y∧.=X)⍳1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y∧.=X)⍳1</source>
|-
|-
|rowspan=2| 187. || Indices of ones in logical vector X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 187. || Indices of ones in logical vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(+\X)⍳⍳+/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(+\X)⍳⍳+/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 188. || Executing costly monadic function F on repetitive arguments ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 188. || Executing costly monadic function F on repetitive arguments ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(F B/X)[+\B←(X⍳X)=⍳⍴X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(F B/X)[+\B←(X⍳X)=⍳⍴X]</source>
|-
|-
|rowspan=2| 189. || Index of (first) maximum element of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 189. || Index of (first) maximum element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X⍳⌈/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X⍳⌈/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 190. || Index of first occurrence of elements of Y ||style="text-align: right;"|<source lang=apl inline>X←C1; Y←C1</source>
|rowspan=2| 190. || Index of first occurrence of elements of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1; Y←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌊/X⍳Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌊/X⍳Y</source>
|-
|-
|rowspan=2| 191. || Index of (first) minimum element of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 191. || Index of (first) minimum element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X⍳⌊/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X⍳⌊/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 192. || Test if each element of X occurs only once ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 192. || Test if each element of X occurs only once ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/(X⍳X)=⍳⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/(X⍳X)=⍳⍴X</source>
|-
|-
|rowspan=2| 193. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 193. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∧/⎕IO=X⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∧/⎕IO=X⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 194. || Interpretation of roman numbers ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 194. || Interpretation of roman numbers ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+/Aׯ1*A<1⌽A←0,(1000 500 100 50 10 5 1)['MDCLXVI'⍳X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+/Aׯ1*A<1⌽A←0,(1000 500 100 50 10 5 1)['MDCLXVI'⍳X]</source>
|-
|-
|rowspan=2| 195. || Removing elements Y from end of vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 195. || Removing elements Y from end of vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⎕IO-(~⌽X∊Y)⍳1)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⎕IO-(~⌽X∊Y)⍳1)↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 196. || Removing trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 196. || Removing trailing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(1-(⌽' '≠X)⍳1)↓X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(1-(⌽' '≠X)⍳1)↓X</source>
|-
|-
|rowspan=2| 198. || Index of last occurrence of Y in X (<source lang=apl inline>⎕IO-1</source> if not found) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 198. || Index of last occurrence of Y in X (<syntaxhighlight lang=apl inline>⎕IO-1</source> if not found) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((¯1 1)[2×⎕IO]+⍴X)-(⌽X)⍳Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((¯1 1)[2×⎕IO]+⍴X)-(⌽X)⍳Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 199. || Index of last occurrence of Y in X (0 if not found) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 199. || Index of last occurrence of Y in X (0 if not found) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(1+⍴X)-(⌽X)⍳Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(1+⍴X)-(⌽X)⍳Y</source>
|-
|-
|rowspan=2| 200. || Index of last occurrence of Y in X, counted from the rear ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 200. || Index of last occurrence of Y in X, counted from the rear ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⌽X)⍳Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⌽X)⍳Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 201. || Index of first occurrence of G in X (circularly) after Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0; G←A</source>
|rowspan=2| 201. || Index of first occurrence of G in X (circularly) after Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0; G←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕IO+(⍴X)|Y+(Y⌽X)⍳G</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕IO+(⍴X)|Y+(Y⌽X)⍳G</source>
|-
|-
|rowspan=2| 202. || Alphabetizing X; equal alphabets in same column of Y ||style="text-align: right;"|<source lang=apl inline>Y←C2; X←C</source>
|rowspan=2| 202. || Alphabetizing X; equal alphabets in same column of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←C2; X←C</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(¯1↑⍴Y)|(,Y)⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(¯1↑⍴Y)|(,Y)⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 203. || Changing index of an unfound element to zero ||style="text-align: right;"|<source lang=apl inline>Y←A1; X←A</source>
|rowspan=2| 203. || Changing index of an unfound element to zero ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←A1; X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(1+⍴Y)|Y⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(1+⍴Y)|Y⍳X</source>
|-
|-
|rowspan=2| 204. || Replacing elements of G in set X with corresponding Y ||style="text-align: right;"|<source lang=apl inline>X←A1, Y←A1, G←A</source>
|rowspan=2| 204. || Replacing elements of G in set X with corresponding Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1, Y←A1, G←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A[B/⍳⍴B]←Y[(B←B≤⍴Y)/B←X⍳A←,G] ⋄ (⍴G)⍴A</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A[B/⍳⍴B]←Y[(B←B≤⍴Y)/B←X⍳A←,G] ⋄ (⍴G)⍴A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 205. || Removing duplicate elements (nub) ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 205. || Removing duplicate elements (nub) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((X⍳X)=⍳⍴X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((X⍳X)=⍳⍴X)/X</source>
|-
|-
|rowspan=2| 206. || First word in X ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 206. || First word in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(¯1+X⍳' ')↑X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(¯1+X⍳' ')↑X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 207. || Removing elements Y from beginning of vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 207. || Removing elements Y from beginning of vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(((~X∊Y)⍳1)-⎕IO)↓X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(((~X∊Y)⍳1)-⎕IO)↓X</source>
|-
|-
|rowspan=2| 208. || Removing leading zeroes ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 208. || Removing leading zeroes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(¯1+(X='0')⍳0)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(¯1+(X='0')⍳0)↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 209. || Index of first one after index Y in X ||style="text-align: right;"|<source lang=apl inline>G←I0; X←B1</source>
|rowspan=2| 209. || Index of first one after index Y in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>G←I0; X←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y+(Y↓X)⍳1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y+(Y↓X)⍳1</source>
|-
|-
|rowspan=2| 210. || Changing index of an unfound element to zero (not effective) ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A1</source>
|rowspan=2| 210. || Changing index of an unfound element to zero (not effective) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X∊Y)×Y⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X∊Y)×Y⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 211. || Indicator of first occurrence of each unique element of X ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 211. || Indicator of first occurrence of each unique element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X⍳X)=⍳⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X⍳X)=⍳⍴X</source>
|-
|-
|rowspan=2| 212. || Inverting a permutation ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 212. || Inverting a permutation ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X⍳⍳⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X⍳⍳⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 213. || Index of first differing element in vectors X and Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 213. || Index of first differing element in vectors X and Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y≠X)⍳1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y≠X)⍳1</source>
|-
|-
|rowspan=2| 214. || Which elements of X are not in set Y (difference of sets) ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A1</source>
|rowspan=2| 214. || Which elements of X are not in set Y (difference of sets) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⎕IO+⍴Y)=Y⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⎕IO+⍴Y)=Y⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 215. || Changing numeric code X into corresponding name in Y ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D1; G←C2</source>
|rowspan=2| 215. || Changing numeric code X into corresponding name in Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D1; G←C2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>G[Y⍳X;]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>G[Y⍳X;]</source>
|-
|-
|rowspan=2| 216. || Index of key Y in key vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 216. || Index of key Y in key vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X⍳Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X⍳Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 217. || Conversion from characters to numeric codes ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 217. || Conversion from characters to numeric codes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕AV⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕AV⍳X</source>
|-
|-
|rowspan=2| 218. || Index of first satisfied condition in X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 218. || Index of first satisfied condition in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X⍳1</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X⍳1</source>
|}
|}


=== Outer Product <source lang=apl inline>∘.!</source> <source lang=apl inline>∘.⌈</source> <source lang=apl inline>∘.|</source> ===
=== Outer Product <syntaxhighlight lang=apl inline>∘.!</source> <syntaxhighlight lang=apl inline>∘.⌈</source> <syntaxhighlight lang=apl inline>∘.|</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|219. || Pascal's triangle of order X (binomial coefficients) ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2|219. || Pascal's triangle of order X (binomial coefficients) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍉A∘.!A←0,⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍉A∘.!A←0,⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 220. || Maximum table ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 220. || Maximum table ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍳X)∘.⌈⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍳X)∘.⌈⍳X</source>
|-
|-
|rowspan=2| 221. || Number of decimals (up to Y) of elements of X ||style="text-align: right;"|<source lang=apl inline>X←D; Y←I0</source>
|rowspan=2| 221. || Number of decimals (up to Y) of elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0+.≠(⌈(10*Y)×10*⎕IO-⍳Y+1)∘.|⌈X×10*Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0+.≠(⌈(10*Y)×10*⎕IO-⍳Y+1)∘.|⌈X×10*Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 222. || Greatest common divisor of elements of X ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 222. || Greatest common divisor of elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌈/(∧/0=A∘.|X)/A←⍳⌊/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌈/(∧/0=A∘.|X)/A←⍳⌊/X</source>
|-
|-
|rowspan=2| 223. || Divisibility table ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 223. || Divisibility table ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0=(⍳⌈/X)∘.|X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0=(⍳⌈/X)∘.|X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 224. || All primes up to X ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 224. || All primes up to X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(2=+⌿0=(⍳X)∘.|⍳X)/⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(2=+⌿0=(⍳X)∘.|⍳X)/⍳X</source>
|}
|}


=== Outer Product <source lang=apl inline>∘.*</source> <source lang=apl inline>∘.×</source> <source lang=apl inline>∘.-</source> <source lang=apl inline>∘.+</source> ===
=== Outer Product <syntaxhighlight lang=apl inline>∘.*</source> <syntaxhighlight lang=apl inline>∘.×</source> <syntaxhighlight lang=apl inline>∘.-</source> <syntaxhighlight lang=apl inline>∘.+</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|225. || Compound interest for principals Y at rates G % in times X ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D; G←D</source>
|rowspan=2|225. || Compound interest for principals Y at rates G % in times X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D; G←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y∘.×(1+G÷100)∘.*X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y∘.×(1+G÷100)∘.*X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 226. || Product of two polynomials with coefficients X and Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 226. || Product of two polynomials with coefficients X and Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+⌿(⎕IO-⍳⍴X)⌽X∘.×Y,0×1↓X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+⌿(⎕IO-⍳⍴X)⌽X∘.×Y,0×1↓X</source>
|-
|-
|rowspan=2| 228. || Shur product ||style="text-align: right;"|<source lang=apl inline>X←D2; Y←D2</source>
|rowspan=2| 228. || Shur product ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2; Y←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1 2 1 2⍉X∘.×Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1 2 1 2⍉X∘.×Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 229. || Direct matrix product ||style="text-align: right;"|<source lang=apl inline>X←D2; Y←D2</source>
|rowspan=2| 229. || Direct matrix product ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2; Y←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1 3 2 4⍉X∘.×Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1 3 2 4⍉X∘.×Y</source>
|-
|-
|rowspan=2| 230. || Multiplication table ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 230. || Multiplication table ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳X)∘.×⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳X)∘.×⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 231. || Replicating a dimension of rank three array X Y-fold ||style="text-align: right;"|<source lang=apl inline>Y←I0; X←A3</source>
|rowspan=2| 231. || Replicating a dimension of rank three array X Y-fold ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←I0; X←A3</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[;,(Y⍴1)∘.×⍳(⍴X)[2];]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[;,(Y⍴1)∘.×⍳(⍴X)[2];]</source>
|-
|-
|rowspan=2| 232. || Array and its negative ('plus minus') ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 232. || Array and its negative ('plus minus') ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X∘.×1 ¯1</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X∘.×1 ¯1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 233. || Move set of points X into first quadrant ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 233. || Move set of points X into first quadrant ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1 2 1⍉X∘.-⌊/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1 2 1⍉X∘.-⌊/X</source>
|-
|-
|rowspan=2| 234. || Test relations of elements of X to range Y; result in ¯2..2 ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D; 2=¯1↑⍴Y</source>
|rowspan=2| 234. || Test relations of elements of X to range Y; result in ¯2..2 ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D; 2=¯1↑⍴Y</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/×X∘.-Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/×X∘.-Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 235. || Occurrences of string X in string Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 235. || Occurrences of string X in string Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y[A∘.+¯1+⍳⍴X]∧.=X)/A←(A=1↑X)/⍳⍴A←(1-⍴X)↓Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y[A∘.+¯1+⍳⍴X]∧.=X)/A←(A=1↑X)/⍳⍴A←(1-⍴X)↓Y</source>
|-
|-
|rowspan=2| 236. || Sum of common parts of matrices (matrix sum) ||style="text-align: right;"|<source lang=apl inline>X←D2; Y←D2</source>
|rowspan=2| 236. || Sum of common parts of matrices (matrix sum) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2; Y←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1 2 1 2⍉X∘.+Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1 2 1 2⍉X∘.+Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 237. || Adding X to each row of Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D2</source>
|rowspan=2| 237. || Adding X to each row of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1 1 2⍉X∘.+Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1 1 2⍉X∘.+Y</source>
|-
|-
|rowspan=2| 238. || Adding X to each row of Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D2</source>
|rowspan=2| 238. || Adding X to each row of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1 2 1⍉Y∘.+X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1 2 1⍉Y∘.+X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 240. || Adding X to each column of Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D2</source>
|rowspan=2| 240. || Adding X to each column of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>2 1 2⍉X∘.+Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>2 1 2⍉X∘.+Y</source>
|-
|-
|rowspan=2| 241. || Adding X to each column of Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D2</source>
|rowspan=2| 241. || Adding X to each column of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1 2 2⍉Y∘.+X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1 2 2⍉Y∘.+X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 242. || Hilbert matrix of order X ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 242. || Hilbert matrix of order X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>÷¯1+(⍳X)∘.+⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>÷¯1+(⍳X)∘.+⍳X</source>
|-
|-
|rowspan=2| 243. || Moving index of width Y for vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 243. || Moving index of width Y for vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(0,⍳(⍴X)-Y)∘.+Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(0,⍳(⍴X)-Y)∘.+Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 244. || Indices of subvectors of length Y starting at X+1 ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I0</source>
|rowspan=2| 244. || Indices of subvectors of length Y starting at X+1 ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X∘.+⍳Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X∘.+⍳Y</source>
|-
|-
|rowspan=2| 245. || Reshaping numeric vector X into a one-column matrix ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 245. || Reshaping numeric vector X into a one-column matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X∘.+,0</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X∘.+,0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 246. || Annuity coefficient: X periods at interest rate Y % ||style="text-align: right;"|<source lang=apl inline>X←I; Y←D</source>
|rowspan=2| 246. || Annuity coefficient: X periods at interest rate Y % ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I; Y←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((⍴A)⍴Y÷100)÷A←⍉1-(1+Y÷100)∘.*-X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((⍴A)⍴Y÷100)÷A←⍉1-(1+Y÷100)∘.*-X</source>
|}
|}


=== Outer Product  <source lang=apl inline>∘.<</source> <source lang=apl inline>∘.≤</source>  <source lang=apl inline>∘.≥</source>  <source lang=apl inline>∘.></source> ===
=== Outer Product  <syntaxhighlight lang=apl inline>∘.<</source> <syntaxhighlight lang=apl inline>∘.≤</source>  <syntaxhighlight lang=apl inline>∘.≥</source>  <syntaxhighlight lang=apl inline>∘.></source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|247. || Matrix with X[i] trailing zeroes on row i ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2|247. || Matrix with X[i] trailing zeroes on row i ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X∘.<⌽⍳⌈/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X∘.<⌽⍳⌈/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 248. || Matrix with X[i] leading zeroes on row i ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 248. || Matrix with X[i] leading zeroes on row i ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X∘.<⍳⌈/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X∘.<⍳⌈/X</source>
|-
|-
|rowspan=2| 249. || Distribution of X into intervals between Y ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D1</source>
|rowspan=2| 249. || Distribution of X into intervals between Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/((¯1↓Y)∘.≤X)∧(1↓Y)∘.>X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/((¯1↓Y)∘.≤X)∧(1↓Y)∘.>X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 250. || Histogram (distribution barchart; down the page) ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 250. || Histogram (distribution barchart; down the page) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>' ⎕'[⎕IO+(⌽⍳⌈/A)∘.≤A←+/(⍳1+(⌈/X)-⌊/X)∘.=X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>' ⎕'[⎕IO+(⌽⍳⌈/A)∘.≤A←+/(⍳1+(⌈/X)-⌊/X)∘.=X]</source>
|-
|-
|rowspan=2| 251. || Barchart of integer values (down the page) ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 251. || Barchart of integer values (down the page) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>' ⎕'[⎕IO+(⌽⍳⌈/X)∘.≤X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>' ⎕'[⎕IO+(⌽⍳⌈/X)∘.≤X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 252. || Test if X is an upper triangular matrix ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 252. || Test if X is an upper triangular matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/,(0≠X)≤A∘.≤A←⍳1↑⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/,(0≠X)≤A∘.≤A←⍳1↑⍴X</source>
|-
|-
|rowspan=2| 253. || Number of ?s intersecting ?s (X=starts, Y=stops) ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 253. || Number of ?s intersecting ?s (X=starts, Y=stops) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/A∧⍉A←X∘.≤Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/A∧⍉A←X∘.≤Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 254. || Contour levels Y at points with altitudes X ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D1</source>
|rowspan=2| 254. || Contour levels Y at points with altitudes X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y[+⌿Y∘.≤X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y[+⌿Y∘.≤X]</source>
|-
|-
|rowspan=2| 255. || X×X upper triangular matrix ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 255. || X×X upper triangular matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳X)∘.≤⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳X)∘.≤⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 256. || Classification of elements Y into X classes of equal size ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←D1</source>
|rowspan=2| 256. || Classification of elements Y into X classes of equal size ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+/(A×X÷⌈/A←Y-⌊/Y)∘.≥¯1+⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+/(A×X÷⌈/A←Y-⌊/Y)∘.≥¯1+⍳X</source>
|-
|-
|rowspan=2| 257. || Matrix with X[i] trailing ones on row i ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 257. || Matrix with X[i] trailing ones on row i ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X∘.≥⌽⍳⌈/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X∘.≥⌽⍳⌈/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 258. || Comparison table ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 258. || Comparison table ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X∘.≥⍳⌈/X,0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X∘.≥⍳⌈/X,0</source>
|-
|-
|rowspan=2| 259. || Barchart of X with height Y (across the page) ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D0</source>
|rowspan=2| 259. || Barchart of X with height Y (across the page) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>' ⎕'[⎕IO+X∘.≥(⌈/X)×(⍳Y)÷Y]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>' ⎕'[⎕IO+X∘.≥(⌈/X)×(⍳Y)÷Y]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 260. || Barchart of integer values (across the page) ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 260. || Barchart of integer values (across the page) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>' ⎕'[⎕IO+X∘.≥⍳⌈/X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>' ⎕'[⎕IO+X∘.≥⍳⌈/X]</source>
|-
|-
|rowspan=2| 261. || Matrix with X[i] leading ones on row i ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 261. || Matrix with X[i] leading ones on row i ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X∘.≥⍳⌈/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X∘.≥⍳⌈/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 263. || Test if X is a lower triangular matrix ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 263. || Test if X is a lower triangular matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/,(0≠X)≤A∘.≥A←⍳1↑⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/,(0≠X)≤A∘.≥A←⍳1↑⍴X</source>
|-
|-
|rowspan=2| 264. || Test if X is within range [ Y[1],Y[2] ) ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D1</source>
|rowspan=2| 264. || Test if X is within range [ Y[1],Y[2] ) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>≠/X∘.≥Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>≠/X∘.≥Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 265. || Ordinal numbers of words in X that indices Y point to ||style="text-align: right;"|<source lang=apl inline>X←C1; Y←I</source>
|rowspan=2| 265. || Ordinal numbers of words in X that indices Y point to ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1; Y←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕IO++/Y∘.≥(' '=X)/⍳⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕IO++/Y∘.≥(' '=X)/⍳⍴X</source>
|-
|-
|rowspan=2| 266. || Which class do elements of X belong to ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 266. || Which class do elements of X belong to ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/X∘.≥0 50 100 1000</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/X∘.≥0 50 100 1000</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 267. || X×X lower triangular matrix ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 267. || X×X lower triangular matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍳X)∘.≥⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍳X)∘.≥⍳X</source>
|-
|-
|rowspan=2| 268. || Moving all blanks to end of each row ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 268. || Moving all blanks to end of each row ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍴X)⍴(,(+/A)∘.>-⎕IO-⍳¯1↑⍴X)\(,A←X≠' ')/,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍴X)⍴(,(+/A)∘.>-⎕IO-⍳¯1↑⍴X)\(,A←X≠' ')/,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 269. || Justifying right fields of X (lengths Y) to length G ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I1; G←I0</source>
|rowspan=2| 269. || Justifying right fields of X (lengths Y) to length G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I1; G←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(,Y∘.>⌽(⍳G)-⎕IO)\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(,Y∘.>⌽(⍳G)-⎕IO)\X</source>
|-
|-
|rowspan=2| 270. || Justifying left fields of X (lengths Y) to length G ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I1; G←I0</source>
|rowspan=2| 270. || Justifying left fields of X (lengths Y) to length G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I1; G←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(,Y∘.>(⍳G)-⎕IO)\X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(,Y∘.>(⍳G)-⎕IO)\X</source>
|}
|}


=== Outer Product  <source lang=apl inline>∘.≠</source>  <source lang=apl inline>∘.=</source> ===
=== Outer Product  <syntaxhighlight lang=apl inline>∘.≠</source>  <syntaxhighlight lang=apl inline>∘.=</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|271. || Indices of elements of Y in corr. rows of X (<source lang=apl inline>X[i;]⍳Y[i;]</source>) ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A2</source>
|rowspan=2|271. || Indices of elements of Y in corr. rows of X (<syntaxhighlight lang=apl inline>X[i;]⍳Y[i;]</source>) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1++/∧\1 2 1 3⍉Y∘.≠X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1++/∧\1 2 1 3⍉Y∘.≠X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 273. || Indicating equal elements of X as a logical matrix ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 273. || Indicating equal elements of X as a logical matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍉X∘.=(1 1⍉<\X∘.=X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍉X∘.=(1 1⍉<\X∘.=X)/X</source>
|-
|-
|rowspan=2| 275. || Changing connection matrix X (<source lang=apl inline>¯1 → 1</source>) to a node matrix ||style="text-align: right;"|<source lang=apl inline>X←I2</source>
|rowspan=2| 275. || Changing connection matrix X (<syntaxhighlight lang=apl inline>¯1 → 1</source>) to a node matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1 ¯1∘.=⍉X)+.×⍳1↑⍴⎕←X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1 ¯1∘.=⍉X)+.×⍳1↑⍴⎕←X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 276. || Sums according to codes G ||style="text-align: right;"|<source lang=apl inline>X←A; Y←D; G←A</source>
|rowspan=2| 276. || Sums according to codes G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←D; G←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(G∘.=X)+.×Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(G∘.=X)+.×Y</source>
|-
|-
|rowspan=2| 277. || Removing duplicate elements (nub) ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 277. || Removing duplicate elements (nub) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1 1⍉<\X∘.=X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1 1⍉<\X∘.=X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 278. || Changing node matrix X (starts,ends) to a connection matrix ||style="text-align: right;"|<source lang=apl inline>X←I2</source>
|rowspan=2| 278. || Changing node matrix X (starts,ends) to a connection matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>-/(⍳⌈/,X)∘.=⍉X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>-/(⍳⌈/,X)∘.=⍉X</source>
|-
|-
|rowspan=2| 279. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 279. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∨/∧/0 1∘.=X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∨/∧/0 1∘.=X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 280. || Test if elements of X belong to corr. row of Y (<source lang=apl inline>X[i;]∊Y[i;]</source>) ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A2; 1↑⍴X←→1↑⍴Y</source>
|rowspan=2| 280. || Test if elements of X belong to corr. row of Y (<syntaxhighlight lang=apl inline>X[i;]∊Y[i;]</source>) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A2; 1↑⍴X←→1↑⍴Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∨/1 2 1 3⍉X∘.=Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∨/1 2 1 3⍉X∘.=Y</source>
|-
|-
|rowspan=2| 281. || Test if X is a permutation vector ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 281. || Test if X is a permutation vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∧/1=+⌿X∘.=⍳⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∧/1=+⌿X∘.=⍳⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 282. || Occurrences of string X in string Y ||style="text-align: right;"|<source lang=apl inline>X←C1; Y←C1</source>
|rowspan=2| 282. || Occurrences of string X in string Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1; Y←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(∧⌿(¯1+⍳⍴X)⌽(X∘.=Y),0)/⍳1+⍴Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(∧⌿(¯1+⍳⍴X)⌽(X∘.=Y),0)/⍳1+⍴Y</source>
|-
|-
|rowspan=2| 283. || Division to Y classes with width H, minimum G ||style="text-align: right;"|<source lang=apl inline>X←D; Y←I0; G←D0; H←D0</source>
|rowspan=2| 283. || Division to Y classes with width H, minimum G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←I0; G←D0; H←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/(⍳Y)∘.=⌈(X-G)÷H</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/(⍳Y)∘.=⌈(X-G)÷H</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 285. || Repeat matrix ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 285. || Repeat matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(((¯1⌽~A)∧A←(¯1↓X=1⌽X),0)/Y)∘.=Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(((¯1⌽~A)∧A←(¯1↓X=1⌽X),0)/Y)∘.=Y</source>
|-
|-
|rowspan=2| 286. || X×X identity matrix ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 286. || X×X identity matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳X)∘.=⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳X)∘.=⍳X</source>
|}
|}


=== Inner Product <source lang=apl inline>⌈.×</source> <source lang=apl inline>⌊.×</source> <source lang=apl inline>⌊.+</source> <source lang=apl inline>×.○</source> <source lang=apl inline>×.*</source> <source lang=apl inline>+.*</source> ===
=== Inner Product <syntaxhighlight lang=apl inline>⌈.×</source> <syntaxhighlight lang=apl inline>⌊.×</source> <syntaxhighlight lang=apl inline>⌊.+</source> <syntaxhighlight lang=apl inline>×.○</source> <syntaxhighlight lang=apl inline>×.*</source> <syntaxhighlight lang=apl inline>+.*</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|287. || Maxima of elements of subsets of X specified by Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B</source>
|rowspan=2|287. || Maxima of elements of subsets of X specified by Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A+(X-A←⌊/X)⌈.×Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A+(X-A←⌊/X)⌈.×Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 288. || Indices of last non-blanks in rows ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 288. || Indices of last non-blanks in rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(' '≠X)⌈.×⍳¯1↑⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(' '≠X)⌈.×⍳¯1↑⍴X</source>
|-
|-
|rowspan=2| 289. || Maximum of X with weights Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 289. || Maximum of X with weights Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y⌈.×X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y⌈.×X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 290. || Minimum of X with weights Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 290. || Minimum of X with weights Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y⌊.×X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y⌊.×X</source>
|-
|-
|rowspan=2| 292. || Extending a distance table to next leg ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 292. || Extending a distance table to next leg ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X←X⌊.+X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X←X⌊.+X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 293. || A way to combine trigonometric functions (sin X cos Y) ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D0</source>
|rowspan=2| 293. || A way to combine trigonometric functions (sin X cos Y) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1 2×.○X,Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1 2×.○X,Y</source>
|-
|-
|rowspan=2| 294. || Sine of a complex number ||style="text-align: right;"|<source lang=apl inline>X←D; 2=1↑⍴X</source>
|rowspan=2| 294. || Sine of a complex number ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; 2=1↑⍴X</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(2 2⍴1 6 2 5)×.○X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(2 2⍴1 6 2 5)×.○X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 295. || Products over subsets of X specified by Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B</source>
|rowspan=2| 295. || Products over subsets of X specified by Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X×.*Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X×.*Y</source>
|-
|-
|rowspan=2| 296. || Sum of squares of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 296. || Sum of squares of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X+.*2</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X+.*2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 297. || Randomizing random numbers (in <source lang=apl inline>⎕LX</source> in a workspace) ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 297. || Randomizing random numbers (in <syntaxhighlight lang=apl inline>⎕LX</source> in a workspace) ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕RL←⎕TS+.*2</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕RL←⎕TS+.*2</source>
|}
|}


=== Inner Product <source lang=apl inline>∨.∧</source> <source lang=apl inline><.<</source> <source lang=apl inline><.≤</source> <source lang=apl inline><.≥</source> <source lang=apl inline>≤.≥</source> <source lang=apl inline>>.></source> ===
=== Inner Product <syntaxhighlight lang=apl inline>∨.∧</source> <syntaxhighlight lang=apl inline><.<</source> <syntaxhighlight lang=apl inline><.≤</source> <syntaxhighlight lang=apl inline><.≥</source> <syntaxhighlight lang=apl inline>≤.≥</source> <syntaxhighlight lang=apl inline>>.></source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|298. || Extending a transitive binary relation ||style="text-align: right;"|<source lang=apl inline>X←B2</source>
|rowspan=2|298. || Extending a transitive binary relation ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X←X∨.∧X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X←X∨.∧X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 299. || Test if X is within range [ Y[1;],Y[2;] ) ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D2; 1↑⍴Y ←→ 2</source>
|rowspan=2| 299. || Test if X is within range [ Y[1;],Y[2;] ) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D2; 1↑⍴Y ←→ 2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X<.<Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X<.<Y</source>
|-
|-
|rowspan=2| 300. || Test if X is within range ( Y[1;],Y[2;] ] ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D2; 1↑⍴Y ←→ 2</source>
|rowspan=2| 300. || Test if X is within range ( Y[1;],Y[2;] ] ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D2; 1↑⍴Y ←→ 2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X<.≤Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X<.≤Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 301. || Test if X is within range ( Y[1;],Y[2;] ] ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D2; 1↑⍴Y ←→ 2</source>
|rowspan=2| 301. || Test if X is within range ( Y[1;],Y[2;] ] ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D2; 1↑⍴Y ←→ 2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X<.≤Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X<.≤Y</source>
|-
|-
|rowspan=2| 302. || Test if the elements of X are ascending ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 302. || Test if the elements of X are ascending ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X<.≥1⌽X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X<.≥1⌽X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 303. || Test if X is an integer within range [ G,H ) ||style="text-align: right;"|<source lang=apl inline>X←I0; G←I0; H←I0</source>
|rowspan=2| 303. || Test if X is an integer within range [ G,H ) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; G←I0; H←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>~X≤.≥(⌈X),G,H</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>~X≤.≥(⌈X),G,H</source>
|-
|-
|rowspan=2| 304. || Test if X is within range ( Y[1;],Y[2;] ] ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D2; 1↑⍴Y ←→ 2</source>
|rowspan=2| 304. || Test if X is within range ( Y[1;],Y[2;] ] ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D2; 1↑⍴Y ←→ 2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X,[.1+⍴⍴X]X)>.>Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X,[.1+⍴⍴X]X)>.>Y</source>
|}
|}


=== Inner Product <source lang=apl inline>∨.≠</source> <source lang=apl inline>∧.=</source> <source lang=apl inline>+.≠</source> <source lang=apl inline>+.=</source> ===
=== Inner Product <syntaxhighlight lang=apl inline>∨.≠</source> <syntaxhighlight lang=apl inline>∧.=</source> <syntaxhighlight lang=apl inline>+.≠</source> <syntaxhighlight lang=apl inline>+.=</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|306. || Removing trailing blank columns ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2|306. || Removing trailing blank columns ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⌽∨\⌽' '∨.≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⌽∨\⌽' '∨.≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 307. || Removing leading blank rows ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 307. || Removing leading blank rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(∨\X∨.≠' ')⌿X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(∨\X∨.≠' ')⌿X</source>
|-
|-
|rowspan=2| 308. || Removing leading blank columns ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 308. || Removing leading blank columns ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(∨\' '∨.≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(∨\' '∨.≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 309. || Index of first occurrences of rows of X as rows of Y ||style="text-align: right;"|<source lang=apl inline>X←A, Y←A2</source>
|rowspan=2| 309. || Index of first occurrences of rows of X as rows of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A, Y←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕IO++⌿∧⍀Y∨.≠⍉X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕IO++⌿∧⍀Y∨.≠⍉X</source>
|-
|-
|rowspan=2| 310. || <source lang=apl inline>X⍳Y</source> for rows of matrices ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A2</source>
|rowspan=2| 310. || <syntaxhighlight lang=apl inline>X⍳Y</source> for rows of matrices ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⎕IO++⌿∧⍀X∨.≠⍉Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⎕IO++⌿∧⍀X∨.≠⍉Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 311. || Removing duplicate blank rows ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 311. || Removing duplicate blank rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(A∨1↓1⌽1,A←X∨.≠' ')⌿X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(A∨1↓1⌽1,A←X∨.≠' ')⌿X</source>
|-
|-
|rowspan=2| 312. || Removing duplicate blank columns ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 312. || Removing duplicate blank columns ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(A∨1,¯1↓A←' '∨.≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(A∨1,¯1↓A←' '∨.≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 313. || Removing blank columns ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 313. || Removing blank columns ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(' '∨.≠X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(' '∨.≠X)/X</source>
|-
|-
|rowspan=2| 314. || Removing blank rows ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 314. || Removing blank rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X∨.≠' ')⌿X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X∨.≠' ')⌿X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 315. || Test if rows of X contain elements differing from Y ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A0</source>
|rowspan=2| 315. || Test if rows of X contain elements differing from Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X∨.≠Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X∨.≠Y</source>
|-
|-
|rowspan=2| 316. || Removing trailing blank rows ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 316. || Removing trailing blank rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(-2↑+/∧\⌽X∧.=' ')↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(-2↑+/∧\⌽X∧.=' ')↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 317. || Removing duplicate rows ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 317. || Removing duplicate rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(∨⌿<\X∧.=⍉X)⌿X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(∨⌿<\X∧.=⍉X)⌿X</source>
|-
|-
|rowspan=2| 318. || Removing duplicate rows ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 318. || Removing duplicate rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1 1⍉<\X∧.=⍉X)⌿X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1 1⍉<\X∧.=⍉X)⌿X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 319. || Test if circular lists are equal (excluding phase) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 319. || Test if circular lists are equal (excluding phase) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∨/Y∧.=⍉(⍳⍴X)⌽(2⍴⍴X)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∨/Y∧.=⍉(⍳⍴X)⌽(2⍴⍴X)⍴X</source>
|-
|-
|rowspan=2| 320. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 320. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X∧.=∨/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X∧.=∨/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 321. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 321. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X∧.=∧/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X∧.=∧/X</source>
|-
|-
|rowspan=2| 322. || Rows of matrix X starting with string Y ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A1</source>
|rowspan=2| 322. || Rows of matrix X starting with string Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((((1↑⍴X),⍴Y)↑X)∧.=Y)⌿X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((((1↑⍴X),⍴Y)↑X)∧.=Y)⌿X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 323. || Occurrences of string X in string Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 323. || Occurrences of string X in string Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((-A)↓X∧.=(A,1+⍴Y)⍴Y)/⍳(⍴Y)+1-A←⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((-A)↓X∧.=(A,1+⍴Y)⍴Y)/⍳(⍴Y)+1-A←⍴X</source>
|-
|-
|rowspan=2| 324. || Test if vector Y is a row of array X ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A1</source>
|rowspan=2| 324. || Test if vector Y is a row of array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1∊X∧.=Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1∊X∧.=Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 325. || Comparing vector Y with rows of array X ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A1</source>
|rowspan=2| 325. || Comparing vector Y with rows of array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X∧.=Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X∧.=Y</source>
|-
|-
|rowspan=2| 326. || Word lengths of words in list X ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 326. || Word lengths of words in list X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X+.≠' '</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X+.≠' '</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 327. || Number of occurrences of scalar X in array Y ||style="text-align: right;"|<source lang=apl inline>X←A0; Y←A</source>
|rowspan=2| 327. || Number of occurrences of scalar X in array Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A0; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X+.=,Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X+.=,Y</source>
|-
|-
|rowspan=2| 328. || Counting pairwise matches (equal elements) in two vectors ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 328. || Counting pairwise matches (equal elements) in two vectors ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X+.=Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X+.=Y</source>
|}
|}


=== Inner Product <source lang=apl inline>-.÷</source> <source lang=apl inline>+.÷</source> <source lang=apl inline>+.×</source> ===
=== Inner Product <syntaxhighlight lang=apl inline>-.÷</source> <syntaxhighlight lang=apl inline>+.÷</source> <syntaxhighlight lang=apl inline>+.×</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|329. || Sum of alternating reciprocal series Y÷X ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2|329. || Sum of alternating reciprocal series Y÷X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y-.÷X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y-.÷X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 330. || Limits X to fit in <source lang=apl inline>⍕</source> field Y[1 2] ||style="text-align: right;"|<source lang=apl inline>X←D; Y←I1</source>
|rowspan=2| 330. || Limits X to fit in <syntaxhighlight lang=apl inline>⍕</source> field Y[1 2] ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X⌈1↓A)⌊1↑A←(2 2⍴¯1 1 1 ¯.1)+.×10*(-1↓Y),-/Y+Y>99 0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X⌈1↓A)⌊1↑A←(2 2⍴¯1 1 1 ¯.1)+.×10*(-1↓Y),-/Y+Y>99 0</source>
|-
|-
|rowspan=2| 331. || Value of polynomial with coefficients Y at point X ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D</source>
|rowspan=2| 331. || Value of polynomial with coefficients Y at point X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X*¯1+⍳⍴Y)+.×⌽Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X*¯1+⍳⍴Y)+.×⌽Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 332. || Arithmetic average (mean value) of X weighted by Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 332. || Arithmetic average (mean value) of X weighted by Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y+.×X)÷⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y+.×X)÷⍴X</source>
|-
|-
|rowspan=2| 333. || Scalar (dot) product of vectors ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 333. || Scalar (dot) product of vectors ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y+.×X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y+.×X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 334. || Sum of squares of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 334. || Sum of squares of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X+.×X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X+.×X</source>
|-
|-
|rowspan=2| 335. || Summation over subsets of X specified by Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B</source>
|rowspan=2| 335. || Summation over subsets of X specified by Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X+.×Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X+.×Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 336. || Matrix product ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D; ¯1↑⍴X ←→ 1↑⍴Y</source>
|rowspan=2| 336. || Matrix product ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D; ¯1↑⍴X ←→ 1↑⍴Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X+.×Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X+.×Y</source>
|-
|-
|rowspan=2| 337. || Sum of reciprocal series Y÷X ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 337. || Sum of reciprocal series Y÷X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y+.÷X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y+.÷X</source>
|}
|}


=== Scan <source lang=apl inline>⌈\</source> <source lang=apl inline>⌊\</source> <source lang=apl inline>×\</source> <source lang=apl inline>-\</source> ===
=== Scan <syntaxhighlight lang=apl inline>⌈\</source> <syntaxhighlight lang=apl inline>⌊\</source> <syntaxhighlight lang=apl inline>×\</source> <syntaxhighlight lang=apl inline>-\</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|338. || Groups of ones in Y pointed to by X (or trailing parts) ||style="text-align: right;"|<source lang=apl inline>X←B; Y←B</source>
|rowspan=2|338. || Groups of ones in Y pointed to by X (or trailing parts) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B; Y←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y∧A=⌈\X×A←+\Y>¯1↓0,Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y∧A=⌈\X×A←+\Y>¯1↓0,Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 339. || Test if X is in ascending order along direction Y ||style="text-align: right;"|<source lang=apl inline>X←D; Y←I0</source>
|rowspan=2| 339. || Test if X is in ascending order along direction Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/[Y]X=⌈\[Y]X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/[Y]X=⌈\[Y]X</source>
|-
|-
|rowspan=2| 340. || Duplicating element of X belonging to <source lang=apl inline>Y,1↑X</source> until next found ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B1</source>
|rowspan=2| 340. || Duplicating element of X belonging to <syntaxhighlight lang=apl inline>Y,1↑X</source> until next found ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[1⌈⌈\Y×⍳⍴Y]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[1⌈⌈\Y×⍳⍴Y]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 341. || Test if X is in descending order along direction Y ||style="text-align: right;"|<source lang=apl inline>X←D; Y←I0</source>
|rowspan=2| 341. || Test if X is in descending order along direction Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/[Y]X=⌊\[Y]X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/[Y]X=⌊\[Y]X</source>
|-
|-
|rowspan=2| 342. || Value of Taylor series with coefficients Y at point X ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D1</source>
|rowspan=2| 342. || Value of Taylor series with coefficients Y at point X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/Y××\1,X÷⍳¯1+⍴Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/Y××\1,X÷⍳¯1+⍴Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 343. || Alternating series (1 ¯1 2 ¯2 3 ¯3 ...) ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 343. || Alternating series (1 ¯1 2 ¯2 3 ¯3 ...) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>-\⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>-\⍳X</source>
|}
|}


=== Scan <source lang=apl inline>⍲\</source> <source lang=apl inline><\</source> <source lang=apl inline>≤\</source> <source lang=apl inline>≠\</source> ===
=== Scan <syntaxhighlight lang=apl inline>⍲\</source> <syntaxhighlight lang=apl inline><\</source> <syntaxhighlight lang=apl inline>≤\</source> <syntaxhighlight lang=apl inline>≠\</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|346. || Value of saddle point ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2|346. || Value of saddle point ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(<\,(X=(⍴X)⍴⌈⌿X)∧X=⍉(⌽⍴X)⍴⌊/X)/,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(<\,(X=(⍴X)⍴⌈⌿X)∧X=⍉(⌽⍴X)⍴⌊/X)/,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 348. || First one (turn off all ones after first one) ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 348. || First one (turn off all ones after first one) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline><\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline><\X</source>
|-
|-
|rowspan=2| 350. || Not first zero (turn on all zeroes after first zero) ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 350. || Not first zero (turn on all zeroes after first zero) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>≤\X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>≤\X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 351. || Running parity (≠\) over subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2| 351. || Running parity (≠\) over subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>≠\Y≠X\A≠¯1↓0,A←X/≠\¯1↓0,Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>≠\Y≠X\A≠¯1↓0,A←X/≠\¯1↓0,Y</source>
|-
|-
|rowspan=2| 352. || Vector <source lang=apl inline>(X[1]⍴1),(X[2]⍴0),(X[3]⍴1),...</source> ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 352. || Vector <syntaxhighlight lang=apl inline>(X[1]⍴1),(X[2]⍴0),(X[3]⍴1),...</source> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>≠\(⍳+/X)∊+\⎕IO,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>≠\(⍳+/X)∊+\⎕IO,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 353. || Not leading zeroes(<source lang=apl inline>∨\</source>) in each subvector of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2| 353. || Not leading zeroes(<syntaxhighlight lang=apl inline>∨\</source>) in each subvector of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>≠\(Y∨X)\A≠¯1↓0,A←(Y∨X)/Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>≠\(Y∨X)\A≠¯1↓0,A←(Y∨X)/Y</source>
|-
|-
|rowspan=2| 354. || Leading ones (<source lang=apl inline>∧\</source>) in each subvector of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2| 354. || Leading ones (<syntaxhighlight lang=apl inline>∧\</source>) in each subvector of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>~≠\(Y≤X)\A≠¯1↓0,A←~(Y≤X)/Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>~≠\(Y≤X)\A≠¯1↓0,A←~(Y≤X)/Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 355. || Locations of texts between and including quotes ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 355. || Locations of texts between and including quotes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A∨¯1↓0,A←≠\X=''''</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A∨¯1↓0,A←≠\X=''''</source>
|-
|-
|rowspan=2| 356. || Locations of texts between quotes ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 356. || Locations of texts between quotes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A∧¯1↓0,A←≠\X=''''</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A∧¯1↓0,A←≠\X=''''</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 357. || Joining pairs of ones ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 357. || Joining pairs of ones ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X∨≠\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X∨≠\X</source>
|-
|-
|rowspan=2| 358. || Places between pairs of ones ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 358. || Places between pairs of ones ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(~X)∧≠\X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(~X)∧≠\X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 359. || Running parity ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 359. || Running parity ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>≠\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>≠\X</source>
|}
|}


=== Scan <source lang=apl inline>∨\</source> <source lang=apl inline>∧\</source> ===
=== Scan <syntaxhighlight lang=apl inline>∨\</source> <syntaxhighlight lang=apl inline>∧\</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|360. || Removing leading and trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2|360. || Removing leading and trailing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((⌽∨\⌽A)∧∨\A←' '≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((⌽∨\⌽A)∧∨\A←' '≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 361. || First group of ones ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 361. || First group of ones ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X∧∧\X=∨\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X∧∧\X=∨\X</source>
|-
|-
|rowspan=2| 362. || Removing trailing blank columns ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 362. || Removing trailing blank columns ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⌽∨\⌽∨⌿' '≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⌽∨\⌽∨⌿' '≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 363. || Removing trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 363. || Removing trailing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⌽∨\⌽' '≠X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⌽∨\⌽' '≠X)/X</source>
|-
|-
|rowspan=2| 364. || Removing leading blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 364. || Removing leading blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(∨\' '≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(∨\' '≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 365. || Not leading zeroes (turn on all zeroes after first one) ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 365. || Not leading zeroes (turn on all zeroes after first one) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∨\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∨\X</source>
|-
|-
|rowspan=2| 366. || Centering character array X with ragged edges ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 366. || Centering character array X with ragged edges ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(A-⌊0.5×(A←+/∧\⌽A)++/∧\A←' '=⌽X)⌽X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(A-⌊0.5×(A←+/∧\⌽A)++/∧\A←' '=⌽X)⌽X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 367. || Decommenting a matrix representation of a function (<source lang=apl inline>⎕CR</source>) ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 367. || Decommenting a matrix representation of a function (<syntaxhighlight lang=apl inline>⎕CR</source>) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(∨/A)⌿(⍴X)⍴(,A)\(,A←∧\('⍝'≠X)∨≠\X='''')/,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(∨/A)⌿(⍴X)⍴(,A)\(,A←∧\('⍝'≠X)∨≠\X='''')/,X</source>
|-
|-
|rowspan=2| 369. || Centering character array X with only right edge ragged ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 369. || Centering character array X with only right edge ragged ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(-⌊0.5×+/∧\' '=⌽X)⌽X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(-⌊0.5×+/∧\' '=⌽X)⌽X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 370. || Justifying right ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 370. || Justifying right ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(-+/∧\⌽' '=X)⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(-+/∧\⌽' '=X)⌽X</source>
|-
|-
|rowspan=2| 371. || Removing trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 371. || Removing trailing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(-+/∧\⌽' '=X)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(-+/∧\⌽' '=X)↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 372. || Justifying left ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 372. || Justifying left ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(+/∧\' '=X)⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(+/∧\' '=X)⌽X</source>
|-
|-
|rowspan=2| 373. || Editing X with Y '-wise ||style="text-align: right;"|<source lang=apl inline>X←C1; Y←C1</source>
|rowspan=2| 373. || Editing X with Y '-wise ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1; Y←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((~(⍴A↑X)↑'/'=Y)/A↑X),(1↓A↓Y),(A←+/∧\Y≠',')↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((~(⍴A↑X)↑'/'=Y)/A↑X),(1↓A↓Y),(A←+/∧\Y≠',')↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 374. || Removing leading blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 374. || Removing leading blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(+/∧\' '=X)↓X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(+/∧\' '=X)↓X</source>
|-
|-
|rowspan=2| 375. || Indices of first blanks in rows of array X ||style="text-align: right;"|<source lang=apl inline>X←C</source>
|rowspan=2| 375. || Indices of first blanks in rows of array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⎕IO++/∧\' '≠X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⎕IO++/∧\' '≠X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 377. || Leading ones (turn off all ones after first zero) ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 377. || Leading ones (turn off all ones after first zero) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧\X</source>
|}
|}


=== Scan <source lang=apl inline>+\</source> ===
=== Scan <syntaxhighlight lang=apl inline>+\</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|378. || Vector (<source lang=apl inline>X[1]⍴1),(Y[1]⍴0),(X[2]⍴1),...</source> ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I1</source>
|rowspan=2|378. || Vector (<syntaxhighlight lang=apl inline>X[1]⍴1),(Y[1]⍴0),(X[2]⍴1),...</source> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳+/X,Y)∊+\1+¯1↓0,((⍳+/X)∊+\X)\Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳+/X,Y)∊+\1+¯1↓0,((⍳+/X)∊+\X)\Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 379. || Replicate Y[i] X[i] times (for all i) ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←A1</source>
|rowspan=2| 379. || Replicate Y[i] X[i] times (for all i) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((X≠0)/Y)[+\¯1⌽(⍳+/X)∊+\X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((X≠0)/Y)[+\¯1⌽(⍳+/X)∊+\X]</source>
|-
|-
|rowspan=2| 380. || Vector (<source lang=apl inline>Y[1]+⍳X[1]),(Y[2]+⍳X[2]),(Y[3]+⍳X[3]),...</source> ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I1; ⍴X←→⍴Y</source>
|rowspan=2| 380. || Vector (<syntaxhighlight lang=apl inline>Y[1]+⍳X[1]),(Y[2]+⍳X[2]),(Y[3]+⍳X[3]),...</source> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←I1; ⍴X←→⍴Y</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⎕IO++\1+((⍳+/X)∊+\⎕IO,X)\Y-¯1↓1,X+Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⎕IO++\1+((⍳+/X)∊+\⎕IO,X)\Y-¯1↓1,X+Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 381. || Replicate Y[i] X[i] times (for all i) ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←A1</source>
|rowspan=2| 381. || Replicate Y[i] X[i] times (for all i) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y[+\(⍳+/X)∊¯1↓1++\0,X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y[+\(⍳+/X)∊¯1↓1++\0,X]</source>
|-
|-
|rowspan=2| 382. || Replicate Y[i] X[i] times (for all i) ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←A1</source>
|rowspan=2| 382. || Replicate Y[i] X[i] times (for all i) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y[⎕IO++\(⍳+/X)∊⎕IO++\X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y[⎕IO++\(⍳+/X)∊⎕IO++\X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 383. || Cumulative sums (+\) over subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←D1</source>
|rowspan=2| 383. || Cumulative sums (+\) over subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+\Y-X\A-¯1↓0,A←X/+\¯1↓0,Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+\Y-X\A-¯1↓0,A←X/+\¯1↓0,Y</source>
|-
|-
|rowspan=2| 384. || Sums over (+/) subvectors of Y, lengths in X ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←D1</source>
|rowspan=2| 384. || Sums over (+/) subvectors of Y, lengths in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A-¯1↓0,A←(+\Y)[+\X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A-¯1↓0,A←(+\Y)[+\X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 386. || X first figurate numbers ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 386. || X first figurate numbers ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+\+\⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+\+\⍳X</source>
|-
|-
|rowspan=2| 387. || Insert vector for X[i] zeroes after i:th subvector ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←B1</source>
|rowspan=2| 387. || Insert vector for X[i] zeroes after i:th subvector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳(⍴Y)++/X)∊+\1+¯1↓0,(1⌽Y)\X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳(⍴Y)++/X)∊+\1+¯1↓0,(1⌽Y)\X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 388. || Open a gap of X[i] after Y[G[i]] (for all i) ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←A1; G←I1</source>
|rowspan=2| 388. || Open a gap of X[i] after Y[G[i]] (for all i) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←A1; G←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((⍳(⍴Y)++/X)∊+\1+¯1↓0,((⍳⍴Y)∊G)\X)\Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((⍳(⍴Y)++/X)∊+\1+¯1↓0,((⍳⍴Y)∊G)\X)\Y</source>
|-
|-
|rowspan=2| 389. || Open a gap of X[i] before Y[G[i]] (for all i) ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←A1; G←I1</source>
|rowspan=2| 389. || Open a gap of X[i] before Y[G[i]] (for all i) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←A1; G←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((⍳(⍴Y)++/X)∊+\1+((⍳⍴Y)∊G)\X)\Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((⍳(⍴Y)++/X)∊+\1+((⍳⍴Y)∊G)\X)\Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 390. || Changing lengths X of subvectors to starting indicators ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 390. || Changing lengths X of subvectors to starting indicators ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A←(+/X)⍴0 ⋄ A[+\¯1↓⎕IO,X]←1 ⋄ A</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A←(+/X)⍴0 ⋄ A[+\¯1↓⎕IO,X]←1 ⋄ A</source>
|-
|-
|rowspan=2| 391. || Changing lengths X of subvectors to ending indicators ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 391. || Changing lengths X of subvectors to ending indicators ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳+/X)∊(+\X)-~⎕IO</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳+/X)∊(+\X)-~⎕IO</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 392. || Changing lengths X of subvectors to starting indicators ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 392. || Changing lengths X of subvectors to starting indicators ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍳+/X)∊+\⎕IO,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍳+/X)∊+\⎕IO,X</source>
|-
|-
|rowspan=2| 393. || Insert vector for X[i] elements before i:th element ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 393. || Insert vector for X[i] elements before i:th element ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳+/A)∊+\A←1+X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳+/A)∊+\A←1+X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 394. || Sums over (+/) subvectors of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←D1</source>
|rowspan=2| 394. || Sums over (+/) subvectors of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A-¯1↓0,A←(1⌽X)/+\Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A-¯1↓0,A←(1⌽X)/+\Y</source>
|-
|-
|rowspan=2| 395. || Fifo stock Y decremented with X units ||style="text-align: right;"|<source lang=apl inline>Y←D1; X←D0</source>
|rowspan=2| 395. || Fifo stock Y decremented with X units ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←D1; X←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>G-¯1↓0,G←0⌈(+\Y)-X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>G-¯1↓0,G←0⌈(+\Y)-X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 396. || Locations of texts between and including quotes ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 396. || Locations of texts between and including quotes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A∨¯1↓0,A←2|+\X=''''</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A∨¯1↓0,A←2|+\X=''''</source>
|-
|-
|rowspan=2| 397. || Locations of texts between quotes ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 397. || Locations of texts between quotes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A∧¯1↓0,A←2|+\X=''''</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A∧¯1↓0,A←2|+\X=''''</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 398. || X:th subvector of Y (subvectors separated by Y[1]) ||style="text-align: right;"|<source lang=apl inline>Y←A1; X←I0</source>
|rowspan=2| 398. || X:th subvector of Y (subvectors separated by Y[1]) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←A1; X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1↓(X=+\Y=1↑Y)/Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1↓(X=+\Y=1↑Y)/Y</source>
|-
|-
|rowspan=2| 399. || Locating field number Y starting with first element of X ||style="text-align: right;"|<source lang=apl inline>Y←I0; X←C1</source>
|rowspan=2| 399. || Locating field number Y starting with first element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←I0; X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(Y=+\X=1↑X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(Y=+\X=1↑X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 400. || Sum elements of X marked by succeeding identicals in Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D1</source>
|rowspan=2| 400. || Sum elements of X marked by succeeding identicals in Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A-¯1↓0,A←(Y≠1↓Y,0)/+\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A-¯1↓0,A←(Y≠1↓Y,0)/+\X</source>
|-
|-
|rowspan=2| 401. || Groups of ones in Y pointed to by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2| 401. || Groups of ones in Y pointed to by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y∧A∊(X∧Y)/A←+\Y>¯1↓0,Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y∧A∊(X∧Y)/A←+\Y>¯1↓0,Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 402. || ith starting indicators X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2| 402. || ith starting indicators X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(+\X)∊Y/⍳⍴Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(+\X)∊Y/⍳⍴Y</source>
|-
|-
|rowspan=2| 403. || G:th subvector of Y (subvectors indicated by X) ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←A1; G←I0</source>
|rowspan=2| 403. || G:th subvector of Y (subvectors indicated by X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←A1; G←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(G=+\X)/Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(G=+\X)/Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 404. || Running sum of Y consecutive elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←I0</source>
|rowspan=2| 404. || Running sum of Y consecutive elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((Y-1)↓A)-0,(-Y)↓A←+\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((Y-1)↓A)-0,(-Y)↓A←+\X</source>
|-
|-
|rowspan=2| 405. || Depth of parentheses ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 405. || Depth of parentheses ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+\('('=X)-¯1↓0,')'=X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+\('('=X)-¯1↓0,')'=X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 406. || Starting positions of subvectors having lengths X ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 406. || Starting positions of subvectors having lengths X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+\¯1↓⎕IO,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+\¯1↓⎕IO,X</source>
|-
|-
|rowspan=2| 407. || Changing lengths X of subvectors of Y to ending indicators ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 407. || Changing lengths X of subvectors of Y to ending indicators ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳⍴Y)∊(+\X)-~⎕IO</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳⍴Y)∊(+\X)-~⎕IO</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 408. || Changing lengths X of subvectors of Y to starting indicators ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 408. || Changing lengths X of subvectors of Y to starting indicators ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍳⍴Y)∊+\⎕IO,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍳⍴Y)∊+\⎕IO,X</source>
|-
|-
|rowspan=2| 409. || X first triangular numbers ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 409. || X first triangular numbers ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+\⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+\⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 410. || Cumulative sum ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 410. || Cumulative sum ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+\X</source>
|}
|}


=== Reduction <source lang=apl inline>○/</source> <source lang=apl inline>÷/</source> <source lang=apl inline>-/</source> <source lang=apl inline>×/</source> ===
=== Reduction <syntaxhighlight lang=apl inline>○/</source> <syntaxhighlight lang=apl inline>÷/</source> <syntaxhighlight lang=apl inline>-/</source> <syntaxhighlight lang=apl inline>×/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|411. || Complementary angle (arccos sin X) ||style="text-align: right;"|<source lang=apl inline>X←D0</source>
|rowspan=2|411. || Complementary angle (arccos sin X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>○/¯2 1,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>○/¯2 1,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 412. || Evaluating a two-row determinant ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 412. || Evaluating a two-row determinant ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>-/×/0 1⊖X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>-/×/0 1⊖X</source>
|-
|-
|rowspan=2| 413. || Evaluating a two-row determinant ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 413. || Evaluating a two-row determinant ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>-/×⌿0 1⌽X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>-/×⌿0 1⌽X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 414. || Area of triangle with side lengths in X (Heron's formula) ||style="text-align: right;"|<source lang=apl inline>X←D1; 3 ←→ ⍴X</source>
|rowspan=2| 414. || Area of triangle with side lengths in X (Heron's formula) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; 3 ←→ ⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(×/(+/X÷2)-0,X)*.5</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(×/(+/X÷2)-0,X)*.5</source>
|-
|-
|rowspan=2| 415. || Juxtapositioning planes of rank 3 array X ||style="text-align: right;"|<source lang=apl inline>X←A3</source>
|rowspan=2| 415. || Juxtapositioning planes of rank 3 array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A3</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(×⌿2 2⍴1,⍴X)⍴2 1 3⍉X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(×⌿2 2⍴1,⍴X)⍴2 1 3⍉X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 416. || Number of rows in array X (also of a vector) ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 416. || Number of rows in array X (also of a vector) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>×/¯1↓⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>×/¯1↓⍴X</source>
|-
|-
|rowspan=2| 417. || (Real) solution of quadratic equation with coefficients X ||style="text-align: right;"|<source lang=apl inline>X←D1; 3 ←→ ⍴X</source>
|rowspan=2| 417. || (Real) solution of quadratic equation with coefficients X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; 3 ←→ ⍴X</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(-X[2]-¯1 1×((X[2]*2)-×/4,X[1 3])*.5)÷2×X[1]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(-X[2]-¯1 1×((X[2]*2)-×/4,X[1 3])*.5)÷2×X[1]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 418. || Reshaping planes of rank 3 array to rows of a matrix ||style="text-align: right;"|<source lang=apl inline>X←A3</source>
|rowspan=2| 418. || Reshaping planes of rank 3 array to rows of a matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A3</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(×/2 2⍴1,⍴X)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(×/2 2⍴1,⍴X)⍴X</source>
|-
|-
|rowspan=2| 419. || Reshaping planes of rank 3 array to a matrix ||style="text-align: right;"|<source lang=apl inline>X←A3</source>
|rowspan=2| 419. || Reshaping planes of rank 3 array to a matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A3</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(×/2 2⍴(⍴X),1)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(×/2 2⍴(⍴X),1)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 420. || Number of elements (also of a scalar) ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 420. || Number of elements (also of a scalar) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>×/⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>×/⍴X</source>
|-
|-
|rowspan=2| 421. || Product of elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 421. || Product of elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>×/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>×/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 422. || Alternating product ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 422. || Alternating product ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>÷/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>÷/X</source>
|-
|-
|rowspan=2| 423. || Centering text line X into a field of width Y ||style="text-align: right;"|<source lang=apl inline>X←C1; Y←I0</source>
|rowspan=2| 423. || Centering text line X into a field of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y↑((⌊-/.5×Y,⍴X)⍴' '),X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y↑((⌊-/.5×Y,⍴X)⍴' '),X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 424. || Alternating sum ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 424. || Alternating sum ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>-/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>-/X</source>
|}
|}


=== Reduction <source lang=apl inline>⌈/</source> <source lang=apl inline>⌊/</source> ===
=== Reduction <syntaxhighlight lang=apl inline>⌈/</source> <syntaxhighlight lang=apl inline>⌊/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|425. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2|425. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⌈/X)=⌊/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⌈/X)=⌊/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 426. || Size of range of elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 426. || Size of range of elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⌈/X)-⌊/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⌈/X)-⌊/X</source>
|-
|-
|rowspan=2| 427. || Conversion of set of positive integers X to a mask ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 427. || Conversion of set of positive integers X to a mask ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳⌈/X)∊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳⌈/X)∊X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 428. || Negative infinity; the smallest representable value ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 428. || Negative infinity; the smallest representable value ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌈/⍳0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌈/⍳0</source>
|-
|-
|rowspan=2| 429. || Vectors as column matrices in catenation beneath each other ||style="text-align: right;"|<source lang=apl inline>X←A1/2; Y←A1/2</source>
|rowspan=2| 429. || Vectors as column matrices in catenation beneath each other ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1/2; Y←A1/2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X,[1+.5×⌈/(⍴⍴X),⍴⍴Y]Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X,[1+.5×⌈/(⍴⍴X),⍴⍴Y]Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 430. || Vectors as row matrices in catenation upon each other ||style="text-align: right;"|<source lang=apl inline>X←A1/2; Y←A1/2</source>
|rowspan=2| 430. || Vectors as row matrices in catenation upon each other ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1/2; Y←A1/2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X,[.5×⌈/(⍴⍴X),⍴⍴Y]Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X,[.5×⌈/(⍴⍴X),⍴⍴Y]Y</source>
|-
|-
|rowspan=2| 431. || Quick membership (<source lang=apl inline>∊</source>) for positive integers ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I1</source>
|rowspan=2| 431. || Quick membership (<syntaxhighlight lang=apl inline>∊</source>) for positive integers ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←(⌈/X,Y)⍴0 ⋄ A[Y]←1 ⋄ A[X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←(⌈/X,Y)⍴0 ⋄ A[Y]←1 ⋄ A[X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 432. || Positive maximum, at least zero (also for empty X) ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 432. || Positive maximum, at least zero (also for empty X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌈/X,0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌈/X,0</source>
|-
|-
|rowspan=2| 433. || Maximum of elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 433. || Maximum of elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌈/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌈/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 434. || Positive infinity; the largest representable value ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 434. || Positive infinity; the largest representable value ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌊/⍳0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌊/⍳0</source>
|-
|-
|rowspan=2| 435. || Minimum of elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 435. || Minimum of elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌊/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌊/X</source>
|}
|}


=== Reduction <source lang=apl inline>∨/</source> <source lang=apl inline>⍲/</source> <source lang=apl inline>≠/</source> ===
=== Reduction <syntaxhighlight lang=apl inline>∨/</source> <syntaxhighlight lang=apl inline>⍲/</source> <syntaxhighlight lang=apl inline>≠/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|436. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2|436. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍲/0 1∊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍲/0 1∊X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 437. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 437. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(∧/X)∨~∨/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(∧/X)∨~∨/X</source>
|-
|-
|rowspan=2| 438. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 438. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(∧/X)=∨/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(∧/X)=∨/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 439. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 439. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/X÷∨/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/X÷∨/X</source>
|-
|-
|rowspan=2| 440. || Removing duplicate rows from ordered matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 440. || Removing duplicate rows from ordered matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(¯1⌽1↓(∨/X≠¯1⊖X),1)⌿X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(¯1⌽1↓(∨/X≠¯1⊖X),1)⌿X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 441. || Vector having as many ones as X has rows ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 441. || Vector having as many ones as X has rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∨/0/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∨/0/X</source>
|-
|-
|rowspan=2| 442. || Test if X and Y have elements in common ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A1</source>
|rowspan=2| 442. || Test if X and Y have elements in common ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∨/Y∊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∨/Y∊X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 443. || None, neither ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 443. || None, neither ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>~∨/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>~∨/X</source>
|-
|-
|rowspan=2| 444. || Any, anyone ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 444. || Any, anyone ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∨/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∨/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 445. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 445. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>≠/0 1∊X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>≠/0 1∊X</source>
|-
|-
|rowspan=2| 446. || Parity ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 446. || Parity ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>≠/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>≠/X</source>
|}
|}


=== Reduction <source lang=apl inline>∧/</source> ===
=== Reduction <syntaxhighlight lang=apl inline>∧/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|447. || Number of areas intersecting areas in X ||style="text-align: right;"|<source lang=apl inline>X←D3 (n × 2 × dim)</source>
|rowspan=2|447. || Number of areas intersecting areas in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D3 (n × 2 × dim)</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/A∧⍉A←∧/X[;A⍴1;]≤2 1 3⍉X[;(A←1↑⍴X)⍴2;]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/A∧⍉A←∧/X[;A⍴1;]≤2 1 3⍉X[;(A←1↑⍴X)⍴2;]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 448. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 448. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/X/1⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/X/1⌽X</source>
|-
|-
|rowspan=2| 449. || Comparison of successive rows ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 449. || Comparison of successive rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∧/X=1⊖X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∧/X=1⊖X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 450. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 450. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/X=1⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/X=1⌽X</source>
|-
|-
|rowspan=2| 451. || Test if X is a valid APL name ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 451. || Test if X is a valid APL name ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∧/((1↑X)∊10↓A),X∊A←'0..9A..Za..z'</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∧/((1↑X)∊10↓A),X∊A←'0..9A..Za..z'</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 452. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 452. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/X=1↑X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/X=1↑X</source>
|-
|-
|rowspan=2| 453. || Identity of two sets ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 453. || Identity of two sets ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∧/(X∊Y),Y∊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∧/(X∊Y),Y∊X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 454. || Test if X is a permutation vector ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 454. || Test if X is a permutation vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/(⍳⍴X)∊X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/(⍳⍴X)∊X</source>
|-
|-
|rowspan=2| 455. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 455. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>~∧/X∊~X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>~∧/X∊~X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 456. || Test if X is boolean ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 456. || Test if X is boolean ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/,X∊0 1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/,X∊0 1</source>
|-
|-
|rowspan=2| 457. || Test if Y is a subset of X (<source lang=apl inline>Y ⊂ X</source>) ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A1</source>
|rowspan=2| 457. || Test if Y is a subset of X (<syntaxhighlight lang=apl inline>Y ⊂ X</source>) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∧/Y∊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∧/Y∊X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 458. || Test if arrays of equal shape are identical ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A; ⍴X ←→ ⍴Y</source>
|rowspan=2| 458. || Test if arrays of equal shape are identical ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A; ⍴X ←→ ⍴Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/,X=Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/,X=Y</source>
|-
|-
|rowspan=2| 459. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 459. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∧/X=X[1]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∧/X=X[1]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 460. || Blank rows ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 460. || Blank rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>∧/' '=X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>∧/' '=X</source>
|-
|-
|rowspan=2| 461. || All, both ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 461. || All, both ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>∧/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>∧/X</source>
|}
|}


=== Reduction <source lang=apl inline>+/</source> ===
=== Reduction <syntaxhighlight lang=apl inline>+/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|462. || Standard deviation of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2|462. || Standard deviation of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((+/(X-(+/X)÷⍴X)*2)÷⍴X)*.5</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((+/(X-(+/X)÷⍴X)*2)÷⍴X)*.5</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 463. || Y:th moment of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 463. || Y:th moment of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(+/(X-(+/X)÷⍴X)*Y)÷⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(+/(X-(+/X)÷⍴X)*Y)÷⍴X</source>
|-
|-
|rowspan=2| 464. || Variance (dispersion) of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 464. || Variance (dispersion) of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(+/(X-(+/X)÷⍴X)*2)÷⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(+/(X-(+/X)÷⍴X)*2)÷⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 465. || Arithmetic average (mean value), also for an empty array ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 465. || Arithmetic average (mean value), also for an empty array ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(+/,X)÷1⌈⍴,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(+/,X)÷1⌈⍴,X</source>
|-
|-
|rowspan=2| 466. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 466. || Test if all elements of vector X are equal ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0=(⍴X)|+/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0=(⍴X)|+/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 467. || Average (mean value) of columns of matrix X ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 467. || Average (mean value) of columns of matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(+⌿X)÷1↑(⍴X),1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(+⌿X)÷1↑(⍴X),1</source>
|-
|-
|rowspan=2| 468. || Average (mean value) of rows of matrix X ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 468. || Average (mean value) of rows of matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(+/X)÷¯1↑1,⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(+/X)÷¯1↑1,⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 469. || Number of occurrences of scalar X in array Y ||style="text-align: right;"|<source lang=apl inline>X←A0; Y←A</source>
|rowspan=2| 469. || Number of occurrences of scalar X in array Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A0; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+/X=,Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+/X=,Y</source>
|-
|-
|rowspan=2| 470. || Average (mean value) of elements of X along direction Y ||style="text-align: right;"|<source lang=apl inline>X←D; Y←I0</source>
|rowspan=2| 470. || Average (mean value) of elements of X along direction Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(+/[Y]X)÷(⍴X)[Y]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(+/[Y]X)÷(⍴X)[Y]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 471. || Arithmetic average (mean value) ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 471. || Arithmetic average (mean value) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(+/X)÷⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(+/X)÷⍴X</source>
|-
|-
|rowspan=2| 472. || Resistance of parallel resistors ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 472. || Resistance of parallel resistors ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>÷+/÷X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>÷+/÷X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 473. || Sum of elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 473. || Sum of elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+/X</source>
|-
|-
|rowspan=2| 474. || Row sum of a matrix ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 474. || Row sum of a matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 475. || Column sum of a matrix ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 475. || Column sum of a matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+⌿X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+⌿X</source>
|-
|-
|rowspan=2| 476. || Reshaping one-element vector X into a scalar ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 476. || Reshaping one-element vector X into a scalar ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 477. || Number of elements satisfying condition X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 477. || Number of elements satisfying condition X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>+/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>+/X</source>
|}
|}


=== Reverse <source lang=apl inline>⌽</source> <source lang=apl inline>⊖</source> ===
=== Reverse <syntaxhighlight lang=apl inline>⌽</source> <syntaxhighlight lang=apl inline>⊖</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|478. || Scan from end with function <source lang=apl inline>⍺</source> ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2|478. || Scan from end with function <syntaxhighlight lang=apl inline>⍺</source> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌽⍺\⌽X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌽⍺\⌽X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 479. || The index of positive integers in Y ||style="text-align: right;"|<source lang=apl inline>X←I; Y←I1</source>
|rowspan=2| 479. || The index of positive integers in Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I; Y←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A←9999⍴⎕IO+⍴Y ⋄ A[⌽Y]←⌽⍳⍴Y ⋄ A[X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A←9999⍴⎕IO+⍴Y ⋄ A[⌽Y]←⌽⍳⍴Y ⋄ A[X]</source>
|-
|-
|rowspan=2| 480. || 'Transpose' of matrix X with column fields of width Y ||style="text-align: right;"|<source lang=apl inline>X←A2; G←I0</source>
|rowspan=2| 480. || 'Transpose' of matrix X with column fields of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; G←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((⌽A)×1,Y)⍴2 1 3⍉(1⌽Y,A←(⍴X)÷1,Y)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((⌽A)×1,Y)⍴2 1 3⍉(1⌽Y,A←(⍴X)÷1,Y)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 482. || Adding X to each column of Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D; (⍴X)=1↑⍴Y</source>
|rowspan=2| 482. || Adding X to each column of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D; (⍴X)=1↑⍴Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y+⍉(⌽⍴Y)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y+⍉(⌽⍴Y)⍴X</source>
|-
|-
|rowspan=2| 483. || Matrix with shape of Y and X as its columns ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A2</source>
|rowspan=2| 483. || Matrix with shape of Y and X as its columns ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍉(⌽⍴Y)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍉(⌽⍴Y)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 484. || Derivate of polynomial X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 484. || Derivate of polynomial X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>¯1↓X×⌽¯1+⍳⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>¯1↓X×⌽¯1+⍳⍴X</source>
|-
|-
|rowspan=2| 485. || Reverse vector X on condition Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B0</source>
|rowspan=2| 485. || Reverse vector X on condition Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>,⌽[⎕IO+Y](1,⍴X)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>,⌽[⎕IO+Y](1,⍴X)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 486. || Reshaping vector X into a one-column matrix ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 486. || Reshaping vector X into a one-column matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⌽1,⍴X)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⌽1,⍴X)⍴X</source>
|-
|-
|rowspan=2| 487. || Avoiding parentheses with help of reversal ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 487. || Avoiding parentheses with help of reversal ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⌽1, ...)</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⌽1, ...)</source>
|}
|}


=== Rotate <source lang=apl inline>⌽</source> <source lang=apl inline>⊖</source> ===
=== Rotate <syntaxhighlight lang=apl inline>⌽</source> <syntaxhighlight lang=apl inline>⊖</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|488. || Vector (cross) product of vectors ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2|488. || Vector (cross) product of vectors ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((1⌽X)ׯ1⌽Y)-(¯1⌽X)×1⌽Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((1⌽X)ׯ1⌽Y)-(¯1⌽X)×1⌽Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 489. || A magic square, side X ||style="text-align: right;"|<source lang=apl inline>X←I0; 1=2|X</source>
|rowspan=2| 489. || A magic square, side X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; 1=2|X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A⊖(A←(⍳X)-⌈X÷2)⌽(X,X)⍴⍳X×X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A⊖(A←(⍳X)-⌈X÷2)⌽(X,X)⍴⍳X×X</source>
|-
|-
|rowspan=2| 490. || Removing duplicates from an ordered vector ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 490. || Removing duplicates from an ordered vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(¯1⌽1↓(X≠¯1⌽X),1)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(¯1⌽1↓(X≠¯1⌽X),1)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 491. || [[Quine|An expression giving itself]] ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 491. || [[Quine|An expression giving itself]] ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1⌽22⍴11⍴'''1⌽22⍴11⍴'''</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1⌽22⍴11⍴'''1⌽22⍴11⍴'''</source>
|-
|-
|rowspan=2| 492. || Transpose matrix X on condition Y ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←B0</source>
|rowspan=2| 492. || Transpose matrix X on condition Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(Y⌽1 2)⍉X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(Y⌽1 2)⍉X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 493. || Any element true (<source lang=apl inline>∨/</source>) on each subvector of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2| 493. || Any element true (<syntaxhighlight lang=apl inline>∨/</source>) on each subvector of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X/Y)≥A/1⌽A←(Y∨X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X/Y)≥A/1⌽A←(Y∨X)/X</source>
|-
|-
|rowspan=2| 494. || All elements true (<source lang=apl inline>∧/</source>) on each subvector of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2| 494. || All elements true (<syntaxhighlight lang=apl inline>∧/</source>) on each subvector of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X/Y)∧A/1⌽A←(Y≤X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X/Y)∧A/1⌽A←(Y≤X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 495. || Removing leading, multiple and trailing Y's ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A0</source>
|rowspan=2| 495. || Removing leading, multiple and trailing Y's ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(1↑A)↓(A⍲1⌽A←Y=X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(1↑A)↓(A⍲1⌽A←Y=X)/X</source>
|-
|-
|rowspan=2| 496. || Changing starting indicators X of subvectors to lengths ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 496. || Changing starting indicators X of subvectors to lengths ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A-¯1↓0,A←(1⌽X)/⍳⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A-¯1↓0,A←(1⌽X)/⍳⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 498. || (Cyclic) compression of successive blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 498. || (Cyclic) compression of successive blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(A∨1⌽A←X≠' ')/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(A∨1⌽A←X≠' ')/X</source>
|-
|-
|rowspan=2| 499. || Aligning columns of matrix X to diagonals ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 499. || Aligning columns of matrix X to diagonals ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1-⍳¯1↑⍴X)⌽X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1-⍳¯1↑⍴X)⌽X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 500. || Aligning diagonals of matrix X to columns ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 500. || Aligning diagonals of matrix X to columns ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(¯1+⍳¯1↑⍴X)⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(¯1+⍳¯1↑⍴X)⌽X</source>
|-
|-
|rowspan=2| 501. || Diagonal matrix with elements of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 501. || Diagonal matrix with elements of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0 ¯1↓(-⍳⍴X)⌽((2⍴⍴X)⍴0),X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0 ¯1↓(-⍳⍴X)⌽((2⍴⍴X)⍴0),X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 502. || Test if elements differ from previous ones (non-empty X) ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 502. || Test if elements differ from previous ones (non-empty X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1,1↓X≠¯1⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1,1↓X≠¯1⌽X</source>
|-
|-
|rowspan=2| 503. || Test if elements differ from next ones (non-empty X) ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 503. || Test if elements differ from next ones (non-empty X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(¯1↓X≠1⌽X),1</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(¯1↓X≠1⌽X),1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 504. || Replacing first element of X with Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A0</source>
|rowspan=2| 504. || Replacing first element of X with Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>¯1⌽1↓X,Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>¯1⌽1↓X,Y</source>
|-
|-
|rowspan=2| 505. || Replacing last element of X with Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A0</source>
|rowspan=2| 505. || Replacing last element of X with Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1⌽¯1↓Y,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1⌽¯1↓Y,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 506. || Ending points for X in indices pointed by Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I1</source>
|rowspan=2| 506. || Ending points for X in indices pointed by Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1⌽(⍳⍴X)∊Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1⌽(⍳⍴X)∊Y</source>
|-
|-
|rowspan=2| 507. || Leftmost neighboring elements cyclically ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 507. || Leftmost neighboring elements cyclically ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>¯1⌽X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>¯1⌽X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 508. || Rightmost neighboring elements cyclically ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 508. || Rightmost neighboring elements cyclically ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1⌽X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1⌽X</source>
|}
|}


=== Transpose <source lang=apl inline>⍉</source> ===
=== Transpose <syntaxhighlight lang=apl inline>⍉</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|509. || Applying to columns action defined on rows ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2|509. || Applying to columns action defined on rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍉ ... ⍉X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍉ ... ⍉X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 510. || Retrieving scattered elements Y from matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←I2</source>
|rowspan=2| 510. || Retrieving scattered elements Y from matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←I2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1 1⍉X[Y[1;];Y[2;]]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1 1⍉X[Y[1;];Y[2;]]</source>
|-
|-
|rowspan=2| 511. || Successive transposes of G (X after Y: <source lang=apl inline>X⍉Y⍉G</source>) ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I1</source>
|rowspan=2| 511. || Successive transposes of G (X after Y: <syntaxhighlight lang=apl inline>X⍉Y⍉G</source>) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[Y]⍉G</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[Y]⍉G</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 512. || Major diagonal of array X ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 512. || Major diagonal of array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(1*⍴X)⍉X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(1*⍴X)⍉X</source>
|-
|-
|rowspan=2| 513. || Reshaping a 400×12 character matrix to fit into one page ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 513. || Reshaping a 400×12 character matrix to fit into one page ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>40 120⍴2 1 3⍉10 40 12⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>40 120⍴2 1 3⍉10 40 12⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 514. || Transpose of planes of a rank three array ||style="text-align: right;"|<source lang=apl inline>X←A3</source>
|rowspan=2| 514. || Transpose of planes of a rank three array ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A3</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1 3 2⍉X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1 3 2⍉X</source>
|-
|-
|rowspan=2| 515. || Major diagonal of matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 515. || Major diagonal of matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1 1⍉X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1 1⍉X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 516. || Selecting specific elements from a 'large' outer product ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A; G←I1</source>
|rowspan=2| 516. || Selecting specific elements from a 'large' outer product ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A; G←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>G⍉X∘.⍺Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>G⍉X∘.⍺Y</source>
|-
|-
|rowspan=2| 517. || Test for antisymmetricity of square matrix X ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 517. || Test for antisymmetricity of square matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>~0∊X=-⍉X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>~0∊X=-⍉X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 518. || Test for symmetricity of square matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 518. || Test for symmetricity of square matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>~0∊X=⍉X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>~0∊X=⍉X</source>
|-
|-
|rowspan=2| 519. || Matrix with X columns Y ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←D1</source>
|rowspan=2| 519. || Matrix with X columns Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍉(X,⍴Y)⍴Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍉(X,⍴Y)⍴Y</source>
|}
|}


=== Maximum <source lang=apl inline>⌈</source> Minimum <source lang=apl inline>⌊</source> ===
=== Maximum <syntaxhighlight lang=apl inline>⌈</source> Minimum <syntaxhighlight lang=apl inline>⌊</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|520. || Limiting X between Y[1] and Y[2], inclusive ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D1</source>
|rowspan=2|520. || Limiting X between Y[1] and Y[2], inclusive ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y[1]⌈Y[2]⌊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y[1]⌈Y[2]⌊X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 521. || Inserting vector Y to the end of matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A1</source>
|rowspan=2| 521. || Inserting vector Y to the end of matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(A↑X),[⍳1](1↓A←(⍴X)⌈0,⍴Y)↑Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(A↑X),[⍳1](1↓A←(⍴X)⌈0,⍴Y)↑Y</source>
|-
|-
|rowspan=2| 522. || Widening matrix X to be compatible with Y ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A2</source>
|rowspan=2| 522. || Widening matrix X to be compatible with Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((0 1×⍴Y)⌈⍴X)↑X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((0 1×⍴Y)⌈⍴X)↑X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 523. || Lengthening matrix X to be compatible with Y ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A2</source>
|rowspan=2| 523. || Lengthening matrix X to be compatible with Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((1 0×⍴Y)⌈⍴X)↑X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((1 0×⍴Y)⌈⍴X)↑X</source>
|-
|-
|rowspan=2| 524. || Reshaping non-empty lower-rank array X into a matrix ||style="text-align: right;"|<source lang=apl inline>X←A; 2≥⍴⍴X</source>
|rowspan=2| 524. || Reshaping non-empty lower-rank array X into a matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; 2≥⍴⍴X</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1⌈¯2↑⍴X)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1⌈¯2↑⍴X)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 525. || Take of at most X elements from Y ||style="text-align: right;"|<source lang=apl inline>X←I; Y←A</source>
|rowspan=2| 525. || Take of at most X elements from Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X⌊⍴Y)↑Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X⌊⍴Y)↑Y</source>
|-
|-
|rowspan=2| 526. || Limiting indices and giving a default value G ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I; G←A0</source>
|rowspan=2| 526. || Limiting indices and giving a default value G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I; G←A0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X,G)[(1+⍴X)⌊Y]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X,G)[(1+⍴X)⌊Y]</source>
|}
|}


=== Ceiling <source lang=apl inline>⌈</source> Floor <source lang=apl inline>⌊</source> ===
=== Ceiling <syntaxhighlight lang=apl inline>⌈</source> Floor <syntaxhighlight lang=apl inline>⌊</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|527. || Reshaping X into a matrix of width Y ||style="text-align: right;"|<source lang=apl inline>X←D, Y←I0</source>
|rowspan=2|527. || Reshaping X into a matrix of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D, Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((⌈(⍴,X)÷Y),Y)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((⌈(⍴,X)÷Y),Y)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 528. || Rounding to nearest even integer ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 528. || Rounding to nearest even integer ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌊X+1≤2|X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌊X+1≤2|X</source>
|-
|-
|rowspan=2| 529. || Rounding, to nearest even integer for <source lang=apl inline>.5 = 1||X</source> ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 529. || Rounding, to nearest even integer for <syntaxhighlight lang=apl inline>.5 = 1||X</source> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌊X+.5×.5≠2|X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌊X+.5×.5≠2|X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 530. || Rounding, to nearest even integer for <source lang=apl inline>.5 = 1||X</source> ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 530. || Rounding, to nearest even integer for <syntaxhighlight lang=apl inline>.5 = 1||X</source> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌊X+.5×.5≠2|X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌊X+.5×.5≠2|X</source>
|-
|-
|rowspan=2| 531. || Arithmetic progression from X to Y with step G ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D0; G←D0</source>
|rowspan=2| 531. || Arithmetic progression from X to Y with step G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D0; G←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X+(G××Y-X)×(⍳1+|⌊(Y-X)÷G)-⎕IO</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X+(G××Y-X)×(⍳1+|⌊(Y-X)÷G)-⎕IO</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 532. || Centering text line X into a field of width Y ||style="text-align: right;"|<source lang=apl inline>X←C1; Y←I0</source>
|rowspan=2| 532. || Centering text line X into a field of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(-⌊.5×Y+⍴X)↑X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(-⌊.5×Y+⍴X)↑X</source>
|-
|-
|rowspan=2| 533. || Test if integer ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 533. || Test if integer ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X=⌊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X=⌊X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 534. || Rounding currencies to nearest 5 subunits ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 534. || Rounding currencies to nearest 5 subunits ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>.05×⌊.5+X÷.05</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>.05×⌊.5+X÷.05</source>
|-
|-
|rowspan=2| 535. || First part of numeric code ABBB ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 535. || First part of numeric code ABBB ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌊X÷1000</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌊X÷1000</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 536. || Rounding to X decimals ||style="text-align: right;"|<source lang=apl inline>X←I; Y←D</source>
|rowspan=2| 536. || Rounding to X decimals ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I; Y←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(10*-X)×⌊0.5+Y×10*X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(10*-X)×⌊0.5+Y×10*X</source>
|-
|-
|rowspan=2| 537. || Rounding to nearest hundredth ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 537. || Rounding to nearest hundredth ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0.01×⌊0.5+100×X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0.01×⌊0.5+100×X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 538. || Rounding to nearest integer ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 538. || Rounding to nearest integer ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⌊0.5+X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⌊0.5+X</source>
|-
|-
|rowspan=2| 539. || Demote floating point representations to integers ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 539. || Demote floating point representations to integers ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⌊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⌊X</source>
|}
|}


=== Residue <source lang=apl inline>|</source> ===
=== Residue <syntaxhighlight lang=apl inline>|</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|540. || Test if X is a leap year ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2|540. || Test if X is a leap year ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(0=400|X)∨(0≠100|X)∧0=4|X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(0=400|X)∨(0≠100|X)∧0=4|X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 541. || Framing ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 541. || Framing ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>'_',[1]('|',X,'|'),[1]'¯'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>'_',[1]('|',X,'|'),[1]'¯'</source>
|-
|-
|rowspan=2| 542. || Magnitude of fractional part ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 542. || Magnitude of fractional part ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1||X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1||X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 543. || Fractional part with sign ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 543. || Fractional part with sign ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(×X)|X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(×X)|X</source>
|-
|-
|rowspan=2| 544. || Increasing the dimension of X to multiple of Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 544. || Increasing the dimension of X to multiple of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X,(Y|-⍴X)↑0/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X,(Y|-⍴X)↑0/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 545. || Removing every Y:th element of X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 545. || Removing every Y:th element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(0≠Y|⍳⍴X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(0≠Y|⍳⍴X)/X</source>
|-
|-
|rowspan=2| 546. || Taking every Y:th element of X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 546. || Taking every Y:th element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(0=Y|⍳⍴X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(0=Y|⍳⍴X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 547. || Divisors of X ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 547. || Divisors of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(0=A|X)/A←⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(0=A|X)/A←⍳X</source>
|-
|-
|rowspan=2| 548. || Removing every second element of X ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 548. || Removing every second element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(2|⍳⍴X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(2|⍳⍴X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 549. || Elements of X divisible by Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D0/1</source>
|rowspan=2| 549. || Elements of X divisible by Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D0/1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(0=Y|X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(0=Y|X)/X</source>
|-
|-
|rowspan=2| 550. || Ravel of a matrix to Y[1] columns with a gap of Y[2] ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←I1</source>
|rowspan=2| 550. || Ravel of a matrix to Y[1] columns with a gap of Y[2] ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(A×Y[1]*¯1 1)⍴(A←(⍴X)+(Y[1]|-1↑⍴X),Y[2])↑X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(A×Y[1]*¯1 1)⍴(A←(⍴X)+(Y[1]|-1↑⍴X),Y[2])↑X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 551. || Test if even ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 551. || Test if even ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>~2|X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>~2|X</source>
|-
|-
|rowspan=2| 552. || Last part of numeric code ABBB ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 552. || Last part of numeric code ABBB ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1000|X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1000|X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 553. || Fractional part ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 553. || Fractional part ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1|X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1|X</source>
|}
|}


=== Magnitude <source lang=apl inline>|</source>, Signum <source lang=apl inline>×</source> ===
=== Magnitude <syntaxhighlight lang=apl inline>|</source>, Signum <syntaxhighlight lang=apl inline>×</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|554. || Increasing absolute value without change of sign ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2|554. || Increasing absolute value without change of sign ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(×X)×Y+|X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(×X)×Y+|X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 555. || Rounding to zero values of X close to zero ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2| 555. || Rounding to zero values of X close to zero ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X×Y≤|X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X×Y≤|X</source>
|-
|-
|rowspan=2| 556. || Square of elements of X without change of sign ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 556. || Square of elements of X without change of sign ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X×|X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X×|X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 557. || Choosing according to signum ||style="text-align: right;"|<source lang=apl inline>X←D; Y←A1</source>
|rowspan=2| 557. || Choosing according to signum ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y[2+×X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y[2+×X]</source>
|}
|}


=== Expand <source lang=apl inline>\</source> <source lang=apl inline>⍀</source> ===
=== Expand <syntaxhighlight lang=apl inline>\</source> <syntaxhighlight lang=apl inline>⍀</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|558. || Not first zero (≤\) in each subvector of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2|558. || Not first zero (≤\) in each subvector of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>~(B∧X)∨(B∨X)\A>¯1↓0,A←(B∨X)/B←~Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>~(B∧X)∨(B∨X)\A>¯1↓0,A←(B∨X)/B←~Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 559. || First one (<\) in each subvector of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2| 559. || First one (<\) in each subvector of Y indicated by X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1; Y←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y∧X)∨(Y∨X)\A>¯1↓0,A←(Y∨X)/Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y∧X)∨(Y∨X)\A>¯1↓0,A←(Y∨X)/Y</source>
|-
|-
|rowspan=2| 560. || Replacing elements of X in set Y with blanks/zeroes ||style="text-align: right;"|<source lang=apl inline>X←A0; Y←A1</source>
|rowspan=2| 560. || Replacing elements of X in set Y with blanks/zeroes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A0; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A\(A←~X∊Y)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A\(A←~X∊Y)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 561. || Replacing elements of X not in set Y with blanks/zeroes ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 561. || Replacing elements of X not in set Y with blanks/zeroes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A\(A←X∊Y)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A\(A←X∊Y)/X</source>
|-
|-
|rowspan=2| 562. || Merging X and Y under control of G (mesh) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1; G←B1</source>
|rowspan=2| 562. || Merging X and Y under control of G (mesh) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1; G←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←G\X ⋄ A[(~G)/⍳⍴G]←Y ⋄ A</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←G\X ⋄ A[(~G)/⍳⍴G]←Y ⋄ A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 563. || Replacing elements of X not satisfying Y with blanks/zeroes ||style="text-align: right;"|<source lang=apl inline>X←A; Y←B1</source>
|rowspan=2| 563. || Replacing elements of X not satisfying Y with blanks/zeroes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y\Y/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y\Y/X</source>
|-
|-
|rowspan=2| 564. || Adding an empty row into X after rows Y ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←I1</source>
|rowspan=2| 564. || Adding an empty row into X after rows Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(~(⍳(⍴Y)+1⍴⍴X)∊Y+⍳⍴Y)⍀X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(~(⍳(⍴Y)+1⍴⍴X)∊Y+⍳⍴Y)⍀X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 565. || Test if numeric ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 565. || Test if numeric ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0∊0\0⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0∊0\0⍴X</source>
|-
|-
|rowspan=2| 566. || Adding an empty row into X after row Y ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←I0</source>
|rowspan=2| 566. || Adding an empty row into X after row Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((Y+1)≠⍳1+1⍴⍴X)⍀X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((Y+1)≠⍳1+1⍴⍴X)⍀X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 567. || Underlining words ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 567. || Underlining words ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X,[⎕IO-.1](' '≠X)\'¯'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X,[⎕IO-.1](' '≠X)\'¯'</source>
|-
|-
|rowspan=2| 568. || Using boolean matrix Y in expanding X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B2</source>
|rowspan=2| 568. || Using boolean matrix Y in expanding X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍴Y)⍴(,Y)\X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍴Y)⍴(,Y)\X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 569. || Spacing out text ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 569. || Spacing out text ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((2×⍴X)⍴1 0)\X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((2×⍴X)⍴1 0)\X</source>
|}
|}


=== Compress <source lang=apl inline>/</source> <source lang=apl inline>⌿</source> ===
=== Compress <syntaxhighlight lang=apl inline>/</source> <syntaxhighlight lang=apl inline>⌿</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|570. || Lengths of groups of ones in X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2|570. || Lengths of groups of ones in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(A>0)/A←(1↓A)-1+¯1↓A←(~A)/⍳⍴A←0,X,0</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(A>0)/A←(1↓A)-1+¯1↓A←(~A)/⍳⍴A←0,X,0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 571. || Syllabization of a Finnish word X ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 571. || Syllabization of a Finnish word X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(~A∊1,⍴X)/A←A/⍳⍴A←(1↓A,0)←~X∊'aeiouyÄÖ'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(~A∊1,⍴X)/A←A/⍳⍴A←(1↓A,0)←~X∊'aeiouyÄÖ'</source>
|-
|-
|rowspan=2| 572. || Choosing a string according to boolean value G ||style="text-align: right;"|<source lang=apl inline>X←C1; Y←C1; G←B0</source>
|rowspan=2| 572. || Choosing a string according to boolean value G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1; Y←C1; G←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(G/X),(~G)/Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(G/X),(~G)/Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 573. || Removing leading, multiple and trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 573. || Removing leading, multiple and trailing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(' '=1↑X)↓((1↓A,0)∨A←' '≠X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(' '=1↑X)↓((1↓A,0)∨A←' '≠X)/X</source>
|-
|-
|rowspan=2| 575. || Removing columns Y from array X ||style="text-align: right;"|<source lang=apl inline>X←A; Y←I1</source>
|rowspan=2| 575. || Removing columns Y from array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(~(⍳¯1↑⍴X)∊Y)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(~(⍳¯1↑⍴X)∊Y)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 576. || Removing trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 576. || Removing trailing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(¯1↑(' '≠X)/⍳⍴X)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(¯1↑(' '≠X)/⍳⍴X)⍴X</source>
|-
|-
|rowspan=2| 577. || Lengths of subvectors of X having equal elements ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 577. || Lengths of subvectors of X having equal elements ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1↓A)-¯1↓A←(A,1)/⍳1+⍴A←1,(1↓X)≠¯1↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1↓A)-¯1↓A←(A,1)/⍳1+⍴A←1,(1↓X)≠¯1↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 578. || Field lengths of vector X; G ←→ ending indices ||style="text-align: right;"|<source lang=apl inline>X←A1; G←I1</source>
|rowspan=2| 578. || Field lengths of vector X; G ←→ ending indices ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; G←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>G-¯1↓0,G←(~⎕IO)+(((1↓X)≠¯1↓X),1)/⍳⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>G-¯1↓0,G←(~⎕IO)+(((1↓X)≠¯1↓X),1)/⍳⍴X</source>
|-
|-
|rowspan=2| 580. || Removing multiple and trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 580. || Removing multiple and trailing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((1↓A,0)∨A←' '≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((1↓A,0)∨A←' '≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 581. || Removing leading and multiple blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 581. || Removing leading and multiple blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(A∨¯1↓0,A←' '≠X)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(A∨¯1↓0,A←' '≠X)/X</source>
|-
|-
|rowspan=2| 582. || Removing multiple blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 582. || Removing multiple blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(A∨¯1↓1,A←' '≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(A∨¯1↓1,A←' '≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 583. || Removing duplicate Y's from vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A0</source>
|rowspan=2| 583. || Removing duplicate Y's from vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(A∨¯1↓1,A←X≠Y)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(A∨¯1↓1,A←X≠Y)/X</source>
|-
|-
|rowspan=2| 584. || Indices of all occurrences of elements of Y in X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 584. || Indices of all occurrences of elements of Y in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X∊Y)/⍳⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X∊Y)/⍳⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 585. || Union of sets, ? ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 585. || Union of sets, ? ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y,(~X∊Y)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y,(~X∊Y)/X</source>
|-
|-
|rowspan=2| 586. || Elements of X not in Y (difference of sets) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 586. || Elements of X not in Y (difference of sets) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(~X∊Y)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(~X∊Y)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 587. || Rows of non-empty matrix X starting with a character in Y ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←A1</source>
|rowspan=2| 587. || Rows of non-empty matrix X starting with a character in Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X[;1]∊Y)⌿X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X[;1]∊Y)⌿X</source>
|-
|-
|rowspan=2| 588. || Intersection of sets, ⍞ ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 588. || Intersection of sets, ⍞ ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X∊Y)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X∊Y)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 589. || Reduction with function ⍺ in dimension Y, rank unchanged ||style="text-align: right;"|<source lang=apl inline>Y←I0; X←A</source>
|rowspan=2| 589. || Reduction with function ⍺ in dimension Y, rank unchanged ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←I0; X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((⍴X)*Y≠⍳⍴⍴X)⍴ ⍺/[Y]X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((⍴X)*Y≠⍳⍴⍴X)⍴ ⍺/[Y]X</source>
|-
|-
|rowspan=2| 590. || Replacing all values X in G with Y ||style="text-align: right;"|<source lang=apl inline>X←A0; Y←A0; G←A</source>
|rowspan=2| 590. || Replacing all values X in G with Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A0; Y←A0; G←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A[(A=X)/⍳⍴A←,G]←Y ⋄ (⍴G)⍴A</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A[(A=X)/⍳⍴A←,G]←Y ⋄ (⍴G)⍴A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 591. || Indices of all occurrences of Y in X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A0</source>
|rowspan=2| 591. || Indices of all occurrences of Y in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y=X)/⍳⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y=X)/⍳⍴X</source>
|-
|-
|rowspan=2| 592. || Replacing elements of G satisfying X with Y ||style="text-align: right;"|<source lang=apl inline>Y←A0; X←B1; G←A1</source>
|rowspan=2| 592. || Replacing elements of G satisfying X with Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←A0; X←B1; G←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>G[X/⍳⍴G]←Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>G[X/⍳⍴G]←Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 593. || Removing duplicates from positive integers ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2| 593. || Removing duplicates from positive integers ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A←9999⍴0 ⋄ A[X]←1 ⋄ A/⍳9999</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A←9999⍴0 ⋄ A[X]←1 ⋄ A/⍳9999</source>
|-
|-
|rowspan=2| 594. || Indices of ones in logical vector X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 594. || Indices of ones in logical vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X/⍳⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X/⍳⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 595. || Conditional in text ||style="text-align: right;"|<source lang=apl inline>X←B0</source>
|rowspan=2| 595. || Conditional in text ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((~X)/'IN'),'CORRECT'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((~X)/'IN'),'CORRECT'</source>
|-
|-
|rowspan=2| 596. || Removing blanks ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 596. || Removing blanks ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(' '≠X)/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(' '≠X)/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 597. || Removing elements Y from vector X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A0</source>
|rowspan=2| 597. || Removing elements Y from vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X≠Y)/X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X≠Y)/X</source>
|-
|-
|rowspan=2| 598. || Vector to expand a new element after each one in X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 598. || Vector to expand a new element after each one in X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(,X,[1.5]1)/,X,[1.5]~X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(,X,[1.5]1)/,X,[1.5]~X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 599. || Reduction with FUNCTION <source lang=apl inline>⍺</source> without respect to shape ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 599. || Reduction with FUNCTION <syntaxhighlight lang=apl inline>⍺</source> without respect to shape ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍺/,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍺/,X</source>
|-
|-
|rowspan=2| 600. || Reshaping scalar X into a one-element vector ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 600. || Reshaping scalar X into a one-element vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1/X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 601. || Empty matrix ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 601. || Empty matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0⌿X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0⌿X</source>
|-
|-
|rowspan=2| 602. || Selecting elements of X satisfying condition Y ||style="text-align: right;"|<source lang=apl inline>X←A; Y←B1</source>
|rowspan=2| 602. || Selecting elements of X satisfying condition Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y/X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y/X</source>
|}
|}


=== Take <source lang=apl inline>↑</source> ===
=== Take <syntaxhighlight lang=apl inline>↑</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|603. || Inserting vector X into matrix Y after row G ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A2; G←I0</source>
|rowspan=2|603. || Inserting vector X into matrix Y after row G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A2; G←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y[⍳G;],[1]((1↓⍴Y)↑X),[1](2↑G)↓Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y[⍳G;],[1]((1↓⍴Y)↑X),[1](2↑G)↓Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 604. || Filling X with last element of X to length Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 604. || Filling X with last element of X to length Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y↑X,Y⍴¯1↑X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y↑X,Y⍴¯1↑X</source>
|-
|-
|rowspan=2| 605. || Input of row Y of text matrix X ||style="text-align: right;"|<source lang=apl inline>X←C2; Y←I0</source>
|rowspan=2| 605. || Input of row Y of text matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[Y;]←(1↑⍴X)↑⍞</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[Y;]←(1↑⍴X)↑⍞</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 606. || First ones in groups of ones ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 606. || First ones in groups of ones ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X>((-⍴⍴X)↑¯1)↓0,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X>((-⍴⍴X)↑¯1)↓0,X</source>
|-
|-
|rowspan=2| 607. || Inserting X into Y after index G ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1; G←I0</source>
|rowspan=2| 607. || Inserting X into Y after index G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1; G←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(G↑Y),X,G↓Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(G↑Y),X,G↓Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 608. || Pairwise differences of successive columns (inverse of +\) ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 608. || Pairwise differences of successive columns (inverse of +\) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X-((-⍴⍴X)↑¯1)↓0,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X-((-⍴⍴X)↑¯1)↓0,X</source>
|-
|-
|rowspan=2| 609. || Leftmost neighboring elements ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 609. || Leftmost neighboring elements ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>((-⍴⍴X)↑¯1)↓0,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>((-⍴⍴X)↑¯1)↓0,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 610. || Rightmost neighboring elements ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 610. || Rightmost neighboring elements ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((-⍴⍴X)↑1)↓X,0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((-⍴⍴X)↑1)↓X,0</source>
|-
|-
|rowspan=2| 611. || Shifting vector X right with Y without rotate ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 611. || Shifting vector X right with Y without rotate ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(-⍴X)↑(-Y)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(-⍴X)↑(-Y)↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 612. || Shifting vector X left with Y without rotate ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 612. || Shifting vector X left with Y without rotate ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍴X)↑Y↓X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍴X)↑Y↓X</source>
|-
|-
|rowspan=2| 613. || Drop of Y first rows from matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←I0</source>
|rowspan=2| 613. || Drop of Y first rows from matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(2↑Y)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(2↑Y)↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 614. || Test if numeric ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 614. || Test if numeric ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0∊1↑0⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0∊1↑0⍴X</source>
|-
|-
|rowspan=2| 615. || Reshaping non-empty lower-rank array X into a matrix ||style="text-align: right;"|<source lang=apl inline>X←A; 2≥⍴⍴X</source>
|rowspan=2| 615. || Reshaping non-empty lower-rank array X into a matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; 2≥⍴⍴X</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(¯2↑1 1,⍴X)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(¯2↑1 1,⍴X)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 616. || Giving a character default value for input ||style="text-align: right;"|<source lang=apl inline>X←C0</source>
|rowspan=2| 616. || Giving a character default value for input ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1↑⍞,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1↑⍞,X</source>
|-
|-
|rowspan=2| 617. || Adding scalar Y to last element of X ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D0</source>
|rowspan=2| 617. || Adding scalar Y to last element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X+(-⍴X)↑Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X+(-⍴X)↑Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 618. || Number of rows in matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 618. || Number of rows in matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1↑⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1↑⍴X</source>
|-
|-
|rowspan=2| 619. || Number of columns in matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 619. || Number of columns in matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>¯1↑⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>¯1↑⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 620. || Ending points for X fields of width Y ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I0</source>
|rowspan=2| 620. || Ending points for X fields of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X×Y)⍴(-Y)↑1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X×Y)⍴(-Y)↑1</source>
|-
|-
|rowspan=2| 621. || Starting points for X fields of width Y ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I0</source>
|rowspan=2| 621. || Starting points for X fields of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X×Y)⍴Y↑1</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X×Y)⍴Y↑1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 622. || Zero or space depending on the type of X (fill element) ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 622. || Zero or space depending on the type of X (fill element) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1↑0⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1↑0⍴X</source>
|-
|-
|rowspan=2| 623. || Forming first row of a matrix to be expanded ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 623. || Forming first row of a matrix to be expanded ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1 80⍴80↑X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1 80⍴80↑X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 624. || Vector of length Y with X ones on the left, the rest zeroes ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I0</source>
|rowspan=2| 624. || Vector of length Y with X ones on the left, the rest zeroes ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y↑X⍴1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y↑X⍴1</source>
|-
|-
|rowspan=2| 625. || Justifying text X to right edge of field of width Y ||style="text-align: right;"|<source lang=apl inline>Y←I0; X←C1</source>
|rowspan=2| 625. || Justifying text X to right edge of field of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←I0; X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(-Y)↑X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(-Y)↑X</source>
|}
|}


=== Drop <source lang=apl inline>↓</source> ===
=== Drop <syntaxhighlight lang=apl inline>↓</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|627. || Starting points of groups of equal elements (non-empty X) ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2|627. || Starting points of groups of equal elements (non-empty X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1,(1↓X)≠¯1↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1,(1↓X)≠¯1↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 628. || Ending points of groups of equal elements (non-empty X) ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 628. || Ending points of groups of equal elements (non-empty X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((1↓X)≠¯1↓X),1</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((1↓X)≠¯1↓X),1</source>
|-
|-
|rowspan=2| 629. || Pairwise ratios of successive elements of vector X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 629. || Pairwise ratios of successive elements of vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1↓X)÷¯1↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1↓X)÷¯1↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 630. || Pairwise differences of successive elements of vector X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 630. || Pairwise differences of successive elements of vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(1↓X)-¯1↓X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(1↓X)-¯1↓X</source>
|-
|-
|rowspan=2| 631. || Differences of successive elements of X along direction Y ||style="text-align: right;"|<source lang=apl inline>X←D; Y←I0</source>
|rowspan=2| 631. || Differences of successive elements of X along direction Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X-(-Y=⍳⍴⍴X)↓0,[Y]X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X-(-Y=⍳⍴⍴X)↓0,[Y]X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 632. || Ascending series of integers Y..X (for small Y and X) ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I0</source>
|rowspan=2| 632. || Ascending series of integers Y..X (for small Y and X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y-1)↓⍳X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y-1)↓⍳X</source>
|-
|-
|rowspan=2| 633. || First ones in groups of ones ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 633. || First ones in groups of ones ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X>¯1↓0,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X>¯1↓0,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 634. || Last ones in groups of ones ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2| 634. || Last ones in groups of ones ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X>1↓X,0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X>1↓X,0</source>
|-
|-
|rowspan=2| 635. || List of names in X (one per row) ||style="text-align: right;"|<source lang=apl inline>X←C2</source>
|rowspan=2| 635. || List of names in X (one per row) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1↓,',',X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1↓,',',X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 636. || Selection of X or Y depending on condition G ||style="text-align: right;"|<source lang=apl inline>X←A0; Y←A0; G←B0</source>
|rowspan=2| 636. || Selection of X or Y depending on condition G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A0; Y←A0; G←B0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>''⍴G↓X,Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>''⍴G↓X,Y</source>
|-
|-
|rowspan=2| 637. || Restoring argument of cumulative sum (inverse of +\) ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 637. || Restoring argument of cumulative sum (inverse of +\) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X-¯1↓0,X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X-¯1↓0,X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 638. || Drop of Y first rows from matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←I0</source>
|rowspan=2| 638. || Drop of Y first rows from matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y,0)↓X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y,0)↓X</source>
|-
|-
|rowspan=2| 639. || Drop of Y first columns from matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2; Y←I0</source>
|rowspan=2| 639. || Drop of Y first columns from matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(0,Y)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(0,Y)↓X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 640. || Number of rows in matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 640. || Number of rows in matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>¯1↓⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>¯1↓⍴X</source>
|-
|-
|rowspan=2| 641. || Number of columns in matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 641. || Number of columns in matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1↓⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1↓⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 642. || Conditional drop of Y elements from array X ||style="text-align: right;"|<source lang=apl inline>X←A; Y←I1; G←B1</source>
|rowspan=2| 642. || Conditional drop of Y elements from array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←I1; G←B1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y×G)↓X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y×G)↓X</source>
|-
|-
|rowspan=2| 643. || Conditional drop of last element of X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←B0</source>
|rowspan=2| 643. || Conditional drop of last element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(-Y)↓X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(-Y)↓X</source>
|}
|}


=== Member Of <source lang=apl inline>∊</source> ===
=== Member Of <syntaxhighlight lang=apl inline>∊</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|644. || Expansion vector with zero after indices Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I1</source>
|rowspan=2|644. || Expansion vector with zero after indices Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>~(⍳(⍴Y)+⍴X)∊Y+⍳⍴Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>~(⍳(⍴Y)+⍴X)∊Y+⍳⍴Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 645. || Boolean vector of length Y with zeroes in locations X ||style="text-align: right;"|<source lang=apl inline>X←I; Y←I0</source>
|rowspan=2| 645. || Boolean vector of length Y with zeroes in locations X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(~(⍳Y)∊X)</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(~(⍳Y)∊X)</source>
|-
|-
|rowspan=2| 646. || Starting points for X in indices pointed by Y ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I1</source>
|rowspan=2| 646. || Starting points for X in indices pointed by Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍳⍴X)∊Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍳⍴X)∊Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 647. || Boolean vector of length Y with ones in locations X ||style="text-align: right;"|<source lang=apl inline>X←I; Y←I0</source>
|rowspan=2| 647. || Boolean vector of length Y with ones in locations X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍳Y)∊X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍳Y)∊X</source>
|-
|-
|rowspan=2| 648. || Check for input in range 1..X ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 648. || Check for input in range 1..X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(Y←⎕)∊⍳X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(Y←⎕)∊⍳X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 649. || Test if arrays are identical ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A</source>
|rowspan=2| 649. || Test if arrays are identical ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>~0∊X=Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>~0∊X=Y</source>
|-
|-
|rowspan=2| 650. || Zeroing elements of Y depending on their values ||style="text-align: right;"|<source lang=apl inline>Y←D; X←D</source>
|rowspan=2| 650. || Zeroing elements of Y depending on their values ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←D; X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y×~Y∊X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y×~Y∊X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 651. || Test if single or scalar ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 651. || Test if single or scalar ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1∊⍴,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1∊⍴,X</source>
|-
|-
|rowspan=2| 652. || Test if vector ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 652. || Test if vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1∊⍴⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1∊⍴⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 653. || Test if X is an empty array ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 653. || Test if X is an empty array ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0∊⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0∊⍴X</source>
|}
|}


=== Index Generator <source lang=apl inline>⍳</source> ===
=== Index Generator <syntaxhighlight lang=apl inline>⍳</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|654. || Inverting a permutation ||style="text-align: right;"|<source lang=apl inline>X←I1</source>
|rowspan=2|654. || Inverting a permutation ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←⍳⍴X ⋄ A[X]←A ⋄ A</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←⍳⍴X ⋄ A[X]←A ⋄ A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 655. || All axes of array X ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 655. || All axes of array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍳⍴⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍳⍴⍴X</source>
|-
|-
|rowspan=2| 656. || All indices of vector X ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 656. || All indices of vector X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍳⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍳⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 657. || Arithmetic progression of Y numbers from X with step G ||style="text-align: right;"|<source lang=apl inline>X←D0; Y←D0; G←D0</source>
|rowspan=2| 657. || Arithmetic progression of Y numbers from X with step G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0; Y←D0; G←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X+G×(⍳Y)-⎕IO</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X+G×(⍳Y)-⎕IO</source>
|-
|-
|rowspan=2| 658. || Consecutive integers from X to Y (arithmetic progression) ||style="text-align: right;"|<source lang=apl inline>X←I0; Y←I0</source>
|rowspan=2| 658. || Consecutive integers from X to Y (arithmetic progression) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X-⎕IO)+⍳1+Y-X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X-⎕IO)+⍳1+Y-X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 659. || Empty numeric vector ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 659. || Empty numeric vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍳0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍳0</source>
|-
|-
|rowspan=2| 660. || Index origin (⎕IO) as a vector ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 660. || Index origin (⎕IO) as a vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍳1</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍳1</source>
|}
|}


=== Logical Functions <source lang=apl inline>~</source> <source lang=apl inline>∨</source> <source lang=apl inline>∧</source> <source lang=apl inline>⍱</source> <source lang=apl inline>⍲</source> ===
=== Logical Functions <syntaxhighlight lang=apl inline>~</source> <syntaxhighlight lang=apl inline>∨</source> <syntaxhighlight lang=apl inline>∧</source> <syntaxhighlight lang=apl inline>⍱</source> <syntaxhighlight lang=apl inline>⍲</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|661. || Demote non-boolean representations to booleans ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2|661. || Demote non-boolean representations to booleans ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0∨X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0∨X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 662. || Test if X is within range ( Y[1],Y[2] ) ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D1</source>
|rowspan=2| 662. || Test if X is within range ( Y[1],Y[2] ) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y[1]<X)∧X<Y[2]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y[1]<X)∧X<Y[2]</source>
|-
|-
|rowspan=2| 663. || Test if X is within range [ Y[1],Y[2] ] ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D1; 2=⍴Y</source>
|rowspan=2| 663. || Test if X is within range [ Y[1],Y[2] ] ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D1; 2=⍴Y</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(Y[1]≤X)∧(X≤Y[2])</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(Y[1]≤X)∧(X≤Y[2])</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 664. || Zeroing all boolean values ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 664. || Zeroing all boolean values ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0∧X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0∧X</source>
|-
|-
|rowspan=2| 666. || Selection of elements of X and Y depending on condition G ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D; G←B</source>
|rowspan=2| 666. || Selection of elements of X and Y depending on condition G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D; G←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X×G)+Y×~G</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X×G)+Y×~G</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 667. || Changing an index origin dependent result to be as <source lang=apl inline>⎕IO=1</source> ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 667. || Changing an index origin dependent result to be as <syntaxhighlight lang=apl inline>⎕IO=1</source> ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(~⎕IO)+X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(~⎕IO)+X</source>
|-
|-
|rowspan=2| 668. || Conditional change of elements of Y to one according to X ||style="text-align: right;"|<source lang=apl inline>Y←D; X←B</source>
|rowspan=2| 668. || Conditional change of elements of Y to one according to X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←D; X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y*~X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y*~X</source>
|}
|}


=== Comparison <source lang=apl inline><≤></source> <source lang=apl inline>≠</source> ===
=== Comparison <syntaxhighlight lang=apl inline><≤></source> <syntaxhighlight lang=apl inline>≠</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|669. || X implies Y ||style="text-align: right;"|<source lang=apl inline>X←B; Y←B</source>
|rowspan=2|669. || X implies Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B; Y←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X≤Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X≤Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 670. || X but not Y ||style="text-align: right;"|<source lang=apl inline>X←B; Y←B</source>
|rowspan=2| 670. || X but not Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B; Y←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X>Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X>Y</source>
|-
|-
|rowspan=2| 671. || Avoiding division by zero error (gets value zero) ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2| 671. || Avoiding division by zero error (gets value zero) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(0≠X)×Y÷X+0=X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(0≠X)×Y÷X+0=X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 672. || Exclusive or ||style="text-align: right;"|<source lang=apl inline>X←B; Y←B</source>
|rowspan=2| 672. || Exclusive or ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B; Y←B</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X≠Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X≠Y</source>
|-
|-
|rowspan=2| 673. || Replacing zeroes with corresponding elements of Y ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2| 673. || Replacing zeroes with corresponding elements of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X+Y×X=0</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X+Y×X=0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 674. || Kronecker delta of X and Y (element of identity matrix) ||style="text-align: right;"|<source lang=apl inline>X←I; Y←I</source>
|rowspan=2| 674. || Kronecker delta of X and Y (element of identity matrix) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I; Y←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y=X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y=X</source>
|}
|}


=== Ravel <source lang=apl inline>,</source> ===
=== Ravel <syntaxhighlight lang=apl inline>,</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|675. || Catenating Y elements G after every element of X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0; G←A</source>
|rowspan=2|675. || Catenating Y elements G after every element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0; G←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>,X,((⍴X),Y)⍴G</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>,X,((⍴X),Y)⍴G</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 676. || Catenating Y elements G before every element of X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0; G←A0</source>
|rowspan=2| 676. || Catenating Y elements G before every element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0; G←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>,(((⍴X),Y)⍴G),X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>,(((⍴X),Y)⍴G),X</source>
|-
|-
|rowspan=2| 677. || Merging vectors X and Y alternately ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 677. || Merging vectors X and Y alternately ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>,Y,[⎕IO+.5]X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>,Y,[⎕IO+.5]X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 678. || Inserting Y after each element of X ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A0</source>
|rowspan=2| 678. || Inserting Y after each element of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>,X,[1.1]Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>,X,[1.1]Y</source>
|-
|-
|rowspan=2| 679. || Spacing out text ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 679. || Spacing out text ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>,X,[1.1]' '</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>,X,[1.1]' '</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 680. || Reshaping X into a matrix of width Y ||style="text-align: right;"|<source lang=apl inline>X←D, Y←I0</source>
|rowspan=2| 680. || Reshaping X into a matrix of width Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D, Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(((⍴,X),1)×Y*¯1 1)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(((⍴,X),1)×Y*¯1 1)⍴X</source>
|-
|-
|rowspan=2| 681. || Temporary ravel of X for indexing with G ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A; G←I</source>
|rowspan=2| 681. || Temporary ravel of X for indexing with G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A; G←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>A←⍴X ⋄ X←,X ⋄ X[G]←Y ⋄ X←A⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>A←⍴X ⋄ X←,X ⋄ X[G]←Y ⋄ X←A⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 682. || Temporary ravel of X for indexing with G ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A; G←I</source>
|rowspan=2| 682. || Temporary ravel of X for indexing with G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A; G←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>A←,X ⋄ A[G]←Y ⋄ X←(⍴X)⍴A</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>A←,X ⋄ A[G]←Y ⋄ X←(⍴X)⍴A</source>
|-
|-
|rowspan=2| 683. || First column as a matrix ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 683. || First column as a matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[;,1]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[;,1]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 684. || Number of elements (also of a scalar) ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 684. || Number of elements (also of a scalar) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍴,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍴,X</source>
|}
|}


=== Catenate <source lang=apl inline>,</source> ===
=== Catenate <syntaxhighlight lang=apl inline>,</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|685. || Separating variable length lines ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2|685. || Separating variable length lines ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X,⎕TC[2],Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X,⎕TC[2],Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 686. || X×X identity matrix ||style="text-align: right;"|<source lang=apl inline>X←I0</source>
|rowspan=2| 686. || X×X identity matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(X,X)⍴1,X⍴0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(X,X)⍴1,X⍴0</source>
|-
|-
|rowspan=2| 687. || Array and its negative ('plus minus') ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 687. || Array and its negative ('plus minus') ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X,[.5+⍴⍴X]-X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X,[.5+⍴⍴X]-X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 688. || Underlining a string ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2| 688. || Underlining a string ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←C1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X,[⎕IO-.1]'¯'</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X,[⎕IO-.1]'¯'</source>
|-
|-
|rowspan=2| 689. || Forming a two-column matrix ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 689. || Forming a two-column matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X,[1.1]Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X,[1.1]Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 690. || Forming a two-row matrix ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A1</source>
|rowspan=2| 690. || Forming a two-row matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X,[.1]Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X,[.1]Y</source>
|-
|-
|rowspan=2| 691. || Selection of X or Y depending on condition G ||style="text-align: right;"|<source lang=apl inline>X←A0; Y←A0; G←B0</source>
|rowspan=2| 691. || Selection of X or Y depending on condition G ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A0; Y←A0; G←B0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(X,Y)[⎕IO+G]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(X,Y)[⎕IO+G]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 692. || Increasing rank of Y to rank of X ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A</source>
|rowspan=2| 692. || Increasing rank of Y to rank of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((((⍴⍴X)-⍴⍴Y)⍴1),⍴Y)⍴Y</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((((⍴⍴X)-⍴⍴Y)⍴1),⍴Y)⍴Y</source>
|-
|-
|rowspan=2| 693. || Identity matrix of shape of matrix X ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2| 693. || Identity matrix of shape of matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍴X)⍴1,0×X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍴X)⍴1,0×X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 694. || Reshaping vector X into a two-column matrix ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 694. || Reshaping vector X into a two-column matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((0.5×⍴X),2)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((0.5×⍴X),2)⍴X</source>
|-
|-
|rowspan=2| 696. || Reshaping vector X into a one-row matrix ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 696. || Reshaping vector X into a one-row matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(1,⍴X)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(1,⍴X)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 697. || Reshaping vector X into a one-column matrix ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 697. || Reshaping vector X into a one-column matrix ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>((⍴X),1)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>((⍴X),1)⍴X</source>
|-
|-
|rowspan=2| 698. || Forming a Y-row matrix with all rows alike (X) ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 698. || Forming a Y-row matrix with all rows alike (X) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(Y,⍴X)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(Y,⍴X)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 699. || Handling array X temporarily as a vector ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 699. || Handling array X temporarily as a vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍴X)⍴ ... ,X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍴X)⍴ ... ,X</source>
|-
|-
|rowspan=2| 700. || Joining sentences ||style="text-align: right;"|<source lang=apl inline>X←A; Y←A1</source>
|rowspan=2| 700. || Joining sentences ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A; Y←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y,0⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y,0⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 701. || Entering from terminal data exceeding input (printing) width ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 701. || Entering from terminal data exceeding input (printing) width ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X←0 2 1 2 5 8 0 4 5,⎕</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X←0 2 1 2 5 8 0 4 5,⎕</source>
|}
|}


=== Indexing <source lang=apl inline>[ ]</source> ===
=== Indexing <syntaxhighlight lang=apl inline>[ ]</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|702. || Value of fixed-degree polynomial Y at points X ||style="text-align: right;"|<source lang=apl inline>Y←D1; X←D</source>
|rowspan=2|702. || Value of fixed-degree polynomial Y at points X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←D1; X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y[3]+X×Y[2]+X×Y[1]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y[3]+X×Y[2]+X×Y[1]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 703. || Number of columns in array X ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 703. || Number of columns in array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍴X)[⍴⍴X]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍴X)[⍴⍴X]</source>
|-
|-
|rowspan=2| 704. || Number of rows in matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 704. || Number of rows in matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>(⍴X)[1]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>(⍴X)[1]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 705. || Number of columns in matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 705. || Number of columns in matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍴X)[2]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍴X)[2]</source>
|-
|-
|rowspan=2| 706. || Conditional elementwise change of sign ||style="text-align: right;"|<source lang=apl inline>Y←D; X←B</source>
|rowspan=2| 706. || Conditional elementwise change of sign ||style="text-align: right;"|<syntaxhighlight lang=apl inline>Y←D; X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y×(1 ¯1)[1+X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y×(1 ¯1)[1+X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 707. || Selection depending on index origin ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 707. || Selection depending on index origin ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[2×⎕IO]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[2×⎕IO]</source>
|-
|-
|rowspan=2| 708. || Indexing with boolean value X (plotting a curve) ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2| 708. || Indexing with boolean value X (plotting a curve) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>' *'[⎕IO+X]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>' *'[⎕IO+X]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 709. || Indexing independent of index origin ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I</source>
|rowspan=2| 709. || Indexing independent of index origin ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[⎕IO+Y]</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[⎕IO+Y]</source>
|-
|-
|rowspan=2| 710. || Selection depending on index origin ||style="text-align: right;"|<source lang=apl inline>X←A1</source>
|rowspan=2| 710. || Selection depending on index origin ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[1]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[1]</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 711. || Zeroing a vector (without change of size) ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2| 711. || Zeroing a vector (without change of size) ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>X[]←0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>X[]←0</source>
|-
|-
|rowspan=2| 712. || First column as a vector ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 712. || First column as a vector ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X[;1]</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X[;1]</source>
|}
|}


=== Shape <source lang=apl inline>⍴</source> ===
=== Shape <syntaxhighlight lang=apl inline>⍴</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|713. || Rank of array X ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2|713. || Rank of array X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⍴⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⍴⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 715. || Duplicating vector X Y times ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←I0</source>
|rowspan=2| 715. || Duplicating vector X Y times ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←I0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(Y×⍴X)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(Y×⍴X)⍴X</source>
|-
|-
|rowspan=2| 716. || Adding X to each row of Y ||style="text-align: right;"|<source lang=apl inline>X←D1; Y←D; (⍴X)=¯1↑⍴Y</source>
|rowspan=2| 716. || Adding X to each row of Y ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D1; Y←D; (⍴X)=¯1↑⍴Y</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y+(⍴Y)⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y+(⍴Y)⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 717. || Array with shape of Y and X as its rows ||style="text-align: right;"|<source lang=apl inline>X←A1; Y←A</source>
|rowspan=2| 717. || Array with shape of Y and X as its rows ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A1; Y←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⍴Y)⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⍴Y)⍴X</source>
|-
|-
|rowspan=2| 718. || Number of rows in matrix X ||style="text-align: right;"|<source lang=apl inline>X←A2</source>
|rowspan=2| 718. || Number of rows in matrix X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A2</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1⍴⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1⍴⍴X</source>
|}
|}


=== Reshape <source lang=apl inline>⍴</source> ===
=== Reshape <syntaxhighlight lang=apl inline>⍴</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|720. || Forming an initially empty array to be expanded ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2|720. || Forming an initially empty array to be expanded ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>0 80⍴0</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>0 80⍴0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 721. || Output of an empty line ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 721. || Output of an empty line ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0⍴X←</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0⍴X←</source>
|-
|-
|rowspan=2| 722. || Reshaping first element of X into a scalar ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 722. || Reshaping first element of X into a scalar ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>''⍴X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>''⍴X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 723. || Corner element of a (non-empty) array ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 723. || Corner element of a (non-empty) array ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1⍴X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1⍴X</source>
|}
|}


=== Arithmetic <source lang=apl inline>+</source> <source lang=apl inline>-</source> <source lang=apl inline>×</source> <source lang=apl inline>÷</source> ===
=== Arithmetic <syntaxhighlight lang=apl inline>+</source> <syntaxhighlight lang=apl inline>-</source> <syntaxhighlight lang=apl inline>×</source> <syntaxhighlight lang=apl inline>÷</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|724. || Continued fraction ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2|724. || Continued fraction ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>1+÷2+÷3+÷4+÷5+÷6+÷ ...</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>1+÷2+÷3+÷4+÷5+÷6+÷ ...</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 725. || Force 0÷0 into DOMAIN ERROR in division ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2| 725. || Force 0÷0 into DOMAIN ERROR in division ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>Y×÷X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>Y×÷X</source>
|-
|-
|rowspan=2| 726. || Conditional elementwise change of sign ||style="text-align: right;"|<source lang=apl inline>X←D; Y←B; ⍴X ←→ ⍴Y</source>
|rowspan=2| 726. || Conditional elementwise change of sign ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←B; ⍴X ←→ ⍴Y</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Xׯ1*Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Xׯ1*Y</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 727. || Zero array of shape and size of X ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 727. || Zero array of shape and size of X ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>0×X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>0×X</source>
|-
|-
|rowspan=2| 728. || Selecting elements satisfying condition Y, zeroing others ||style="text-align: right;"|<source lang=apl inline>X←D; Y←B</source>
|rowspan=2| 728. || Selecting elements satisfying condition Y, zeroing others ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>Y×X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>Y×X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 729. || Number and its negative ('plus minus') ||style="text-align: right;"|<source lang=apl inline>X←D0</source>
|rowspan=2| 729. || Number and its negative ('plus minus') ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D0</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>1 ¯1×X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>1 ¯1×X</source>
|-
|-
|rowspan=2| 730. || Changing an index origin dependent result to be as ⎕IO=0 ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 730. || Changing an index origin dependent result to be as ⎕IO=0 ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>-⎕IO-X</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>-⎕IO-X</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 731. || Changing an index origin dependent argument to act as ⎕IO=1 ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 731. || Changing an index origin dependent argument to act as ⎕IO=1 ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>(⎕IO-1)+X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>(⎕IO-1)+X</source>
|-
|-
|rowspan=2| 732. || Output of assigned numeric value ||style="text-align: right;"|<source lang=apl inline>X←D</source>
|rowspan=2| 732. || Output of assigned numeric value ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>+X←</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>+X←</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 733. || Changing an index origin dependent argument to act as ⎕IO=0 ||style="text-align: right;"|<source lang=apl inline>X←I</source>
|rowspan=2| 733. || Changing an index origin dependent argument to act as ⎕IO=0 ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←I</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕IO+X</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕IO+X</source>
|-
|-
|rowspan=2| 734. || Selecting elements satisfying condition Y, others to one ||style="text-align: right;"|<source lang=apl inline>X←D; Y←B</source>
|rowspan=2| 734. || Selecting elements satisfying condition Y, others to one ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←D; Y←B</source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>X*Y</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>X*Y</source>
|}
|}


=== Miscellaneous ===
=== Miscellaneous ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|736. || Setting a constant with hyphens ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2|736. || Setting a constant with hyphens ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>⎕LX←⍞</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>⎕LX←⍞</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 737. || Output of assigned value ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2| 737. || Output of assigned value ||style="text-align: right;"|<syntaxhighlight lang=apl inline>X←A</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⎕←X←</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⎕←X←</source>
|-
|-
|rowspan=2| 738. || Syntax error to stop execution ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 738. || Syntax error to stop execution ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|-
|-
|colspan=2 style="background-color: #F5F5F5"|<source lang=apl inline>*</source>
|colspan=2 style="background-color: #F5F5F5"|<syntaxhighlight lang=apl inline>*</source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|rowspan=2| 888. || Meaning of life ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2| 888. || Meaning of life ||style="text-align: right;"|<syntaxhighlight lang=apl inline></source>
|- style="background-color: #FFFFFF"
|- style="background-color: #FFFFFF"
|colspan=2 style="background-color: #FFFFFF"|<source lang=apl inline>⍎⊖⍕⊃⊂|⌊-*+○⌈×÷!⌽⍉⌹~⍴⍋⍒,⍟?⍳0</source>
|colspan=2 style="background-color: #FFFFFF"|<syntaxhighlight lang=apl inline>⍎⊖⍕⊃⊂|⌊-*+○⌈×÷!⌽⍉⌹~⍴⍋⍒,⍟?⍳0</source>
|}
|}


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