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Nest
.... For example, consider a function which expects one or more English words in uppercase and counts the words that include the letter E. </syntaxhighlight>{{Works in|[[Dyalog APL]]}}

2 KB (259 words) - 22:22, 10 September 2022
Materialise
...ument is already an array, it is returned unmodified. It is only available in [[Dyalog APL]], which supports classes and .NET objects. Materialise shares </syntaxhighlight>{{Works in|[[Dyalog APL]]}}

2 KB (233 words) - 21:51, 10 September 2022
Link
{{Built-in|Link|⊃}}, or <syntaxhighlight lang=j inline>;</syntaxhighlight> in [[J]], is a [[dyadic]] [[primitive function]] which builds a [[nested]] [[v </syntaxhighlight>{{Works in|[[SHARP APL]]}}

3 KB (267 words) - 21:02, 10 September 2022
Partition
...length with each element in the left argument corresponding to an element in the right argument. Partition begins a new '''division''' of its right argu {{Works in|[[Dyalog APL]]}}

3 KB (319 words) - 22:18, 10 September 2022
Exponential
{{Built-in|Exponential|*}} is a [[monadic]] [[scalar function]] which computes the [[w </syntaxhighlight>{{Works in|[[Dyalog APL]]}}

2 KB (241 words) - 22:25, 10 September 2022
Without
{{Built-in|Without|~}}, '''Set Difference''', '''Excluding''', or '''Less''', is a [[d ...line>(~X∊Y)/X</syntaxhighlight>. This preserves the order and multiplicity in the left argument. Both arguments can be [[nested array|nested arrays]].

2 KB (274 words) - 10:58, 11 September 2022
Prototype
...ure of its [[element]]s. It is derived from the first element of the array in [[ravel order]], or, if the array is [[Empty array|empty]], from informatio ...type is used when an array is expanded or when empty elements are inserted in some other way. [[Take]] and [[Expand]] on a [[character]] array produce an

5 KB (495 words) - 13:28, 24 October 2022
Factorial
{{Built-in|Factorial|!}} is a [[monadic]] [[scalar function]] which gives the [[wikipe In multiple implementations, this function has an extended definition using th

2 KB (289 words) - 21:21, 10 September 2022
Leading axis agreement
...The shape of the result is that of the [[argument]] with higher [[rank]]. In J, since all functions, including dyadic scalar functions, have [[function A scalar dyadic function works when the two arrays have the same shape:

3 KB (413 words) - 18:58, 19 July 2023
Imaginary
...ntaxhighlight> as a monadic counterpart of [[Complex (function)|Complex]]. In other APL implementations that support complex numbers, [[Circular]] with t </syntaxhighlight>{{Works in|[[Extended Dyalog APL]]}}

2 KB (228 words) - 22:05, 10 September 2022
Intersection
{{Built-in|Intersection|∩}} is a [[dyadic]] [[set function]] which computes the [[wi ...line>(X∊Y)/X</syntaxhighlight>, which preserves the order and multiplicity in the left argument. Both arguments can be [[nested array|nested arrays]].

2 KB (256 words) - 22:14, 10 September 2022
Pervasion
...the concept of a function being defined in terms of the [[simple scalar]]s in [[nested array]]s. It is a feature of [[Nested array model|nested]] array l ...ntaxhighlight> to reach the simple scalars at the deepest point of nesting in any argument.

3 KB (387 words) - 21:06, 10 September 2022
Union
{{Built-in|Union|∪}} is a [[dyadic]] [[set function]] which computes the [[wikipedia ...ne>X,(~Y∊X)/Y</syntaxhighlight>. This preserves the order and multiplicity in both arguments, the left one taking precedence. Both arguments can be [[nes

2 KB (256 words) - 17:25, 6 January 2024
Constant
...nded Dyalog APL]], sharing its [[glyph]] with [[Commute]], and was adopted in [[Dyalog APL 18.0]] as an alternative to the constant [[dfn]] such as <synt ...d for Constant arises in various contexts, such as at the rightmost branch in a [[train]] and mapping over an array to create a constant-filled one. The

3 KB (379 words) - 22:15, 10 September 2022
Variant
...m]. [[APL Quote Quad]], Volume 18, Number 1, 1987-09.</ref>) and '''Fit''' in [[J]], is a special [[dyadic operator]] which takes a function as its left ...r]] when the feature was added, a system operator alternative was provided in form of <syntaxhighlight lang=apl inline>⎕OPT</syntaxhighlight>.

5 KB (626 words) - 10:43, 11 September 2022
Natural Logarithm
{{Built-in|Natural Logarithm|⍟}}, or '''Natural Log''', is a [[monadic]] [[scalar fu </syntaxhighlight>{{Works in|[[Dyalog APL]]}}

2 KB (251 words) - 21:17, 10 September 2022
LIMIT ERROR
...r whose length along one [[axis]] would exceed the maximum allowed length. In [[Dyalog APL]], the maximum rank is 15, so taking an [[Outer Product]] of t {{Works in|[[Dyalog APL]]}}

2 KB (230 words) - 22:13, 10 September 2022
Magnitude
{{Built-in|Magnitude|<nowiki>|</nowiki>}}, or '''Absolute Value''', is a [[monadic]] [ </syntaxhighlight>{{Works in|[[Dyalog APL]]}}

2 KB (221 words) - 22:10, 10 September 2022
Spawn
{{Built-in|Spawn|&}} is a [[monadic operator]] which applies its [[operand]] in a new [[wikipedia:green thread]]. Rather that returning the result of its o ...xhighlight lang=apl inline>¨</syntaxhighlight>) to launch multiple threads in parallel.

3 KB (339 words) - 10:46, 11 September 2022
Reverse Compose
...nition matches the [[hook]] function Before, represented as <code>⊸</code> in [[BQN]]. ...xhighlight>{{←→}}<syntaxhighlight lang=apl inline>g⍨∘f⍨</syntaxhighlight>. In [[dzaima/APL]] the monadic case is simply an error.

3 KB (414 words) - 00:12, 17 March 2024
Range
...mitive function. "Range" refers to [[Unique]] in K and [[Index Generator]] in BQN.'' ...enerator]] for creating a range of numbers. Range is currently implemented in [[NARS2000]] (using the digraph <syntaxhighlight lang=apl inline>..</syntax

3 KB (282 words) - 22:18, 10 September 2022
Commute
...lt-in|Commute|⍨}}, or <syntaxhighlight lang=apl inline>⊂</syntaxhighlight> in [[SHARP APL]], is a [[monadic operator]] that takes a [[dyadic function]] a {{Works in|[[Dyalog APL]], [[dzaima/APL]], [[NARS2000]]}}

3 KB (376 words) - 16:56, 16 March 2024
APL Farm
In addition to these, the Discord server has rooms for self-promotion, code ch ...'' executes codeblocks starting with <code>bqn)</code> in CBQN. Only works in the rooms bridged to Matrix.

3 KB (393 words) - 12:53, 31 August 2023
Binomial
{{Built-in|Binomial|!}} is a [[dyadic]] [[scalar function]] which gives the [[wikipedi </syntaxhighlight>{{Works in|[[Dyalog APL]]}}

3 KB (320 words) - 21:50, 10 September 2022
LCM
...same results on [[Boolean]] arguments and the same [[identity element]] 1, in the same way that [[GCD]] extends [[Or]]. </syntaxhighlight>{{Works in|[[Dyalog APL]]}}

2 KB (230 words) - 21:28, 10 September 2022
Pair
...o dyadic Pair primitive). Dyadic Pair is similar to the [[Link]] primitive in [[SHARP APL]] and [[J]], but Link has an asymmetric definition that adds it ...rators. SATN-41, 1981-06-20.</ref> Pair aids in constructing nested arrays in [[tacit programming]], where [[stranding]] by juxtaposition is not availabl

3 KB (486 words) - 17:16, 6 March 2024
Case
...ite Item <syntaxhighlight lang=j inline>}</syntaxhighlight>, which differs in that the right argument is an array whose [[major cell]]s are mixed togethe {{Works in|[[dzaima/APL]]}}

1 KB (235 words) - 02:25, 9 March 2024
Format
{{Built-in|Format|⍕}} is an [[ambivalent]] [[primitive function]] which formats the Format in its [[monadic]] form allows the user to convert [[Array model|arrays]] of a

3 KB (292 words) - 21:02, 10 September 2022
Logarithm
{{Built-in|Logarithm|⍟}}, or '''Log''', is a [[dyadic]] [[scalar function]] which co ...used to determine how many digits are needed to write a positive integer Y in base X:

3 KB (287 words) - 22:06, 10 September 2022
Derived function
...s a [[function]], it can then be applied to [[argument]] arrays, resulting in other arrays. ...he derived function <syntaxhighlight lang=apl inline>⌈/</syntaxhighlight>. In most modern APLs this function can be manipulated like any other function,

1 KB (201 words) - 22:18, 10 September 2022
Function axis
...ich adhere to [[leading axis theory]] reject the use of axis specification in favor of the [[Rank operator]] because it is a fully general operator while ...list of axes to specify where the axes of argument elements will be placed in the result.

6 KB (878 words) - 05:12, 11 November 2022
RANK ERROR
...]] or [[scalar]], so giving it a higher-rank array as [[argument]] results in a RANK ERROR: ...RROR may be caused when argument ranks are incompatible in some other way. In languages with [[major cell search]] such as [[Dyalog APL]] and [[J]], the

1 KB (190 words) - 23:30, 10 March 2024
Type
...rmation about the type and structure of its argument array's [[element]]s. In normal cases, the result is identical to the argument, with all numbers rep ...ement'') was repurposed for [[Enlist]]. Thus, Dyalog left the Type meaning in place only when [[migration level]] is 0, while setting it to 1 or higher f

5 KB (491 words) - 14:28, 13 February 2023
APL.jl
...s returns Julia data. Dfns defined using APl.jl can hence be used directly in Julia code like ordinary functions. ...l""</code> string macro parses and evaluates an APL expression. The parser works on the reverse of the APL code, using the help of concatenation rules to re

3 KB (393 words) - 08:25, 23 September 2022
Function-operator overloading
...lyphs themselves, or to their values and derivations as well: for example, in [[Dyalog APL]] the assignments <syntaxhighlight lang=apl inline>r←/</synt ...nts, but dialects with overloading always choose the first interpretation, in which the overloaded value is treated as an operator.

6 KB (797 words) - 12:53, 13 February 2024
Dot
* In all dialects, it is used as [[wikipedia:decimal separator|decimal separator * In all dialects, it is a [[dyadic operator]] with function [[operand]]s, deriv

3 KB (322 words) - 22:12, 10 September 2022
From
...ted]] left argument, which varies from one language to another. It appears in [[SAX]] (as <syntaxhighlight lang=apl inline>@</syntaxhighlight>), [[Extend </syntaxhighlight>{{Works in|[[dzaima/APL]], [[Extended Dyalog APL]]}}

6 KB (853 words) - 15:55, 19 February 2024
Unique
...hich do not [[match]] an earlier distinct cell) in the order they appeared in the array. It works on nested arrays as well:

9 KB (1,243 words) - 12:57, 23 November 2023
Drop
...and a detailed description of those extensions and their history is given in that article rather than this one. Unlike Take, Drop never uses [[fill elem {{Works in|[[Dyalog APL]], [[ngn/apl]]}}

4 KB (605 words) - 21:23, 10 September 2022
Indices
...o [[Replicate]], and may be seen as an index-based equivalent to Replicate in the same way that [[Grade]] is an index-based equivalent of sorting. ...st language to include the primitive, it is called Where (<code>&</code>). In [[J]], it is called Indices (<syntaxhighlight lang=j inline>I.</syntaxhighl

8 KB (1,126 words) - 20:03, 14 April 2024
GCD
...same results on [[Boolean]] arguments and the same [[identity element]] 0, in the same way that [[LCM]] extends [[And]]. </syntaxhighlight>{{Works in|[[Dyalog APL]]}}

4 KB (497 words) - 21:37, 17 February 2024
Empty array
In the APL [[array model]], an '''empty''' array is one with a [[bound]] of ze ...axhighlight>. These arrays have different prototypes, and do not [[match]] in most APLs.

5 KB (810 words) - 22:29, 10 September 2022
Frame agreement
...if one frame is empty. The latter case corresponds to pairing one argument in its entirety with each of the [[cells]] of the other argument. {{Works in|[[Dyalog APL]]}}

7 KB (779 words) - 14:23, 26 August 2023
Defined function (traditional)
...ll forms; in particular [[dfn]]s are considered a type of defined function in [[Dyalog APL]] and [[GNU APL]].'' ...ctions]] have appeared, with [[J]] and [[K]] rejecting function definition in favor of [[anonymous function]] description.

11 KB (1,470 words) - 22:13, 10 September 2022
Raze
...e outer vector's axis with the first axis of each element. Raze is present in [[SHARP APL]], [[A+]], [[J]], and [[BQN]]. {{Works in|[[A+]]}}

6 KB (812 words) - 23:25, 29 January 2024
Membership
...ment. Membership derives from the traditional mathematical notation <math>\in</math> (''Element of'') and therefore uses that [[glyph]] (lunate epsilon). ...ch as [[J]] (spelled <syntaxhighlight lang=j inline>e.</syntaxhighlight>). In this case, if the right argument is a higher-[[rank]] array, the [[cell|cel

2 KB (324 words) - 15:33, 11 January 2024
Main Page
...remember]] APL with little effort. There is plenty of material to help you in the process. ...user groups|user groups]] all around the globe, many of these hold regular in-person meet-ups. There are also multiple online [[chat rooms and forums]].

5 KB (707 words) - 22:15, 10 September 2022
Roll
...cts allow <syntaxhighlight lang=apl inline>n</syntaxhighlight> to be zero, in which case Roll chooses a floating-point number between 0 and 1. Roll share {{Works in|[[Dyalog APL]], [[NARS2000]], [[dzaima/APL]]}}

3 KB (373 words) - 22:14, 10 September 2022
Scalar extension
...]s, so it's unclear when scalar extension as a unified concept was adopted in [[Iverson notation]]. ...ve been a [[RANK ERROR]] into a valid application. Second, the application works by conceptually extending the scalar to function as though it were an array

8 KB (947 words) - 03:06, 20 February 2024
Comment
In fact, the [[right]] function (<syntaxhighlight lang=apl inline>⊢</syntaxh </syntaxhighlight>{{Works in|[[APL64]]}}

2 KB (289 words) - 17:06, 3 March 2024

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