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m (Text replacement - "<source" to "<syntaxhighlight")
m (Text replacement - "</source>" to "</syntaxhighlight>")
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! Glyph                              !! Monadic                !! Dyadic
! Glyph                              !! Monadic                !! Dyadic
|-
|-
| <syntaxhighlight lang=apl inline>+</source> || [[Conjugate]]/Identity || [[Addition]]
| <syntaxhighlight lang=apl inline>+</syntaxhighlight> || [[Conjugate]]/Identity || [[Addition]]
|-
|-
| <syntaxhighlight lang=apl inline>-</source> || [[Negate]]            || [[Subtraction]]
| <syntaxhighlight lang=apl inline>-</syntaxhighlight> || [[Negate]]            || [[Subtraction]]
|-
|-
| <syntaxhighlight lang=apl inline>×</source> || [[Signum]]            || [[Multiplication]]
| <syntaxhighlight lang=apl inline>×</syntaxhighlight> || [[Signum]]            || [[Multiplication]]
|-
|-
| <syntaxhighlight lang=apl inline>÷</source> || [[Reciprocal]]        || [[Division]]
| <syntaxhighlight lang=apl inline>÷</syntaxhighlight> || [[Reciprocal]]        || [[Division]]
|-
|-
| <syntaxhighlight lang=apl inline>*</source> || [[Exponential]]        || [[Power function|Power]]
| <syntaxhighlight lang=apl inline>*</syntaxhighlight> || [[Exponential]]        || [[Power function|Power]]
|-
|-
| <syntaxhighlight lang=apl inline>⍟</source> || [[Natural Logarithm]]  || [[Logarithm|Base-⍺ Logarithm]]
| <syntaxhighlight lang=apl inline>⍟</syntaxhighlight> || [[Natural Logarithm]]  || [[Logarithm|Base-⍺ Logarithm]]
|-
|-
| <syntaxhighlight lang=apl inline>|</source> || [[Magnitude]]          || [[Residue]]
| <syntaxhighlight lang=apl inline>|</syntaxhighlight> || [[Magnitude]]          || [[Residue]]
|-
|-
| <syntaxhighlight lang=apl inline>!</source> || [[Factorial]]          || Out-Of/[[Combinations]]
| <syntaxhighlight lang=apl inline>!</syntaxhighlight> || [[Factorial]]          || Out-Of/[[Combinations]]
|-
|-
| <syntaxhighlight lang=apl inline>⌊</source> || [[Floor]]              || [[Minimum]]
| <syntaxhighlight lang=apl inline>⌊</syntaxhighlight> || [[Floor]]              || [[Minimum]]
|-
|-
| <syntaxhighlight lang=apl inline>⌈</source> || [[Ceiling]]            || [[Maximum]]
| <syntaxhighlight lang=apl inline>⌈</syntaxhighlight> || [[Ceiling]]            || [[Maximum]]
|-
|-
| <syntaxhighlight lang=apl inline>○</source> || [[Pi Times]]          || [[Circle functions]]
| <syntaxhighlight lang=apl inline>○</syntaxhighlight> || [[Pi Times]]          || [[Circle functions]]
|-
|-
| <syntaxhighlight lang=apl inline>∧</source> ||                        || [[And]]/Least Common Multiple (LCM)
| <syntaxhighlight lang=apl inline>∧</syntaxhighlight> ||                        || [[And]]/Least Common Multiple (LCM)
|-
|-
| <syntaxhighlight lang=apl inline>∨</source> ||                        || [[Or]]/Greatest Common Divisor (GCD)
| <syntaxhighlight lang=apl inline>∨</syntaxhighlight> ||                        || [[Or]]/Greatest Common Divisor (GCD)
|-
|-
| <syntaxhighlight lang=apl inline>⍲</source> ||                        || [[Nand]]
| <syntaxhighlight lang=apl inline>⍲</syntaxhighlight> ||                        || [[Nand]]
|-
|-
| <syntaxhighlight lang=apl inline>⍱</source> ||                        || [[Nor]]
| <syntaxhighlight lang=apl inline>⍱</syntaxhighlight> ||                        || [[Nor]]
|-
|-
| <syntaxhighlight lang=apl inline>~</source> || [[Not]]                || See [[#Miscellaneous|Miscellaneous]]
| <syntaxhighlight lang=apl inline>~</syntaxhighlight> || [[Not]]                || See [[#Miscellaneous|Miscellaneous]]
|-
|-
| <syntaxhighlight lang=apl inline>?</source> || [[Roll]]              || See [[#Non-Scalar|Non-scalar]]
| <syntaxhighlight lang=apl inline>?</syntaxhighlight> || [[Roll]]              || See [[#Non-Scalar|Non-scalar]]
|}
|}


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! Glyph                          !! Rank !! Monadic              !! Ranks !! Dyadic
! Glyph                          !! Rank !! Monadic              !! Ranks !! Dyadic
|-
|-
| <syntaxhighlight lang=apl inline>⌹</source> || 2 || [[Matrix inverse]]    || ∞ 2 || [[Matrix divide]]
| <syntaxhighlight lang=apl inline>⌹</syntaxhighlight> || 2 || [[Matrix inverse]]    || ∞ 2 || [[Matrix divide]]
|-
|-
| <syntaxhighlight lang=apl inline>?</source> ||  || See [[#Scalar|Scalar]] || * * || [[Deal]]
| <syntaxhighlight lang=apl inline>?</syntaxhighlight> ||  || See [[#Scalar|Scalar]] || * * || [[Deal]]
|-
|-
| <syntaxhighlight lang=apl inline>⊤</source> ||  ||                        || ∞ ∞ || [[Encode]]
| <syntaxhighlight lang=apl inline>⊤</syntaxhighlight> ||  ||                        || ∞ ∞ || [[Encode]]
|-
|-
| <syntaxhighlight lang=apl inline>⊥</source> ||  ||                        || ∞ ∞ || [[Decode]]
| <syntaxhighlight lang=apl inline>⊥</syntaxhighlight> ||  ||                        || ∞ ∞ || [[Decode]]
|}
|}


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! Glyph                          !! Rank !! Monadic                            !! Ranks !! Dyadic
! Glyph                          !! Rank !! Monadic                            !! Ranks !! Dyadic
|-
|-
| <syntaxhighlight lang=apl inline>=</source> ||  || See [[#Miscellaneous|Miscellaneous]] || 0 0 || [[Equals]]
| <syntaxhighlight lang=apl inline>=</syntaxhighlight> ||  || See [[#Miscellaneous|Miscellaneous]] || 0 0 || [[Equals]]
|-
|-
| <syntaxhighlight lang=apl inline>≠</source> ||  || See [[#Miscellaneous|Miscellaneous]] || 0 0 || [[Not Equals]]
| <syntaxhighlight lang=apl inline>≠</syntaxhighlight> ||  || See [[#Miscellaneous|Miscellaneous]] || 0 0 || [[Not Equals]]
|-
|-
| <syntaxhighlight lang=apl inline><</source> ||  || See [[#Structural|Structural]]      || 0 0 || [[Less Than]]
| <syntaxhighlight lang=apl inline><</syntaxhighlight> ||  || See [[#Structural|Structural]]      || 0 0 || [[Less Than]]
|-
|-
| <syntaxhighlight lang=apl inline>≤</source> ||  ||                                      || 0 0 || [[Less Than or Equal]]
| <syntaxhighlight lang=apl inline>≤</syntaxhighlight> ||  ||                                      || 0 0 || [[Less Than or Equal]]
|-
|-
| <syntaxhighlight lang=apl inline>≥</source> ||  ||                                      || 0 0 || [[Greater Than or Equal]]
| <syntaxhighlight lang=apl inline>≥</syntaxhighlight> ||  ||                                      || 0 0 || [[Greater Than or Equal]]
|-
|-
| <syntaxhighlight lang=apl inline>></source> ||  || See [[#Structural|Structural]]      || 0 0 || [[Greater Than]]
| <syntaxhighlight lang=apl inline>></syntaxhighlight> ||  || See [[#Structural|Structural]]      || 0 0 || [[Greater Than]]
|-
|-
| <syntaxhighlight lang=apl inline>≡</source> ||  ||                                      || ∞ ∞ || [[Match]]
| <syntaxhighlight lang=apl inline>≡</syntaxhighlight> ||  ||                                      || ∞ ∞ || [[Match]]
|-
|-
| <syntaxhighlight lang=apl inline>∊</source> ||  ||                                      || 0 ∞ || [[Membership]]
| <syntaxhighlight lang=apl inline>∊</syntaxhighlight> ||  ||                                      || 0 ∞ || [[Membership]]
|-
|-
| <syntaxhighlight lang=apl inline>⍷</source> ||  ||                                      || ∞ ∞ || [[Find]]
| <syntaxhighlight lang=apl inline>⍷</syntaxhighlight> ||  ||                                      || ∞ ∞ || [[Find]]
|}
|}


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! Glyph                          !! Rank !! Monadic                            !! Ranks !! Dyadic
! Glyph                          !! Rank !! Monadic                            !! Ranks !! Dyadic
|-
|-
| <syntaxhighlight lang=apl inline>@</source> ||  || See [[#Miscellaneous|Miscellaneous]] || 0 ∞ || [[Squad Index|From]]
| <syntaxhighlight lang=apl inline>@</syntaxhighlight> ||  || See [[#Miscellaneous|Miscellaneous]] || 0 ∞ || [[Squad Index|From]]
|-
|-
| <syntaxhighlight lang=apl inline>⍳</source> || 1 || [[Index Generator|Count]]            || 1 0 || [[Index Of]]
| <syntaxhighlight lang=apl inline>⍳</syntaxhighlight> || 1 || [[Index Generator|Count]]            || 1 0 || [[Index Of]]
|-
|-
| <syntaxhighlight lang=apl inline>⍸</source> ||  ||                                      || ∞ ∞ || [[Indices of Match|Index]]
| <syntaxhighlight lang=apl inline>⍸</syntaxhighlight> ||  ||                                      || ∞ ∞ || [[Indices of Match|Index]]
|-
|-
| <syntaxhighlight lang=apl inline>⍋</source> || ∞ || Numeric [[Grade up]]                || ∞ ∞ || Character [[Grade up]]
| <syntaxhighlight lang=apl inline>⍋</syntaxhighlight> || ∞ || Numeric [[Grade up]]                || ∞ ∞ || Character [[Grade up]]
|-
|-
| <syntaxhighlight lang=apl inline>⍒</source> || ∞ || Numeric [[Grade down]]              || ∞ ∞ || Character [[Grade down]]
| <syntaxhighlight lang=apl inline>⍒</syntaxhighlight> || ∞ || Numeric [[Grade down]]              || ∞ ∞ || Character [[Grade down]]
|}
|}


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! Glyph                          !! Rank !! Monadic                                !! Ranks !! Dyadic
! Glyph                          !! Rank !! Monadic                                !! Ranks !! Dyadic
|-
|-
| <syntaxhighlight lang=apl inline>⍴</source> || ∞ || [[Shape|Shape of]]                        || 1 ∞ || [[Reshape]]
| <syntaxhighlight lang=apl inline>⍴</syntaxhighlight> || ∞ || [[Shape|Shape of]]                        || 1 ∞ || [[Reshape]]
|-
|-
| <syntaxhighlight lang=apl inline>↑</source> ||  || See [[#Miscellaneous|Miscellaneous]]      || 1 ∞ || [[Take]]
| <syntaxhighlight lang=apl inline>↑</syntaxhighlight> ||  || See [[#Miscellaneous|Miscellaneous]]      || 1 ∞ || [[Take]]
|-
|-
| <syntaxhighlight lang=apl inline>↓</source> || ∞ || [[Raze]]                                  || 1 ∞ || [[Drop]]
| <syntaxhighlight lang=apl inline>↓</syntaxhighlight> || ∞ || [[Raze]]                                  || 1 ∞ || [[Drop]]
|-
|-
| <syntaxhighlight lang=apl inline><</source> || ∞ || [[Enclose]]/Box                          ||    || See [[#Relational|Relational]]
| <syntaxhighlight lang=apl inline><</syntaxhighlight> || ∞ || [[Enclose]]/Box                          ||    || See [[#Relational|Relational]]
|-
|-
| <syntaxhighlight lang=apl inline>⊃</source> || ∞ || [[Enclose if simple|Conditional Enclose]] || ∞ ∞ || [[Link]]
| <syntaxhighlight lang=apl inline>⊃</syntaxhighlight> || ∞ || [[Enclose if simple|Conditional Enclose]] || ∞ ∞ || [[Link]]
|-
|-
| <syntaxhighlight lang=apl inline>></source> || 0 || [[Disclose]]/Open                        ||    || See [[#Relational|Relational]]
| <syntaxhighlight lang=apl inline>></syntaxhighlight> || 0 || [[Disclose]]/Open                        ||    || See [[#Relational|Relational]]
|-
|-
| <syntaxhighlight lang=apl inline>,</source> || ∞ || [[Ravel]]                                || ∞ ∞ || [[Catenate]]
| <syntaxhighlight lang=apl inline>,</syntaxhighlight> || ∞ || [[Ravel]]                                || ∞ ∞ || [[Catenate]]
|-
|-
| <syntaxhighlight lang=apl inline>⍪</source> || ∞ || [[Table]]                                || ∞ ∞ || [[Catenate First|Catenate-Down]]
| <syntaxhighlight lang=apl inline>⍪</syntaxhighlight> || ∞ || [[Table]]                                || ∞ ∞ || [[Catenate First|Catenate-Down]]
|-
|-
| <syntaxhighlight lang=apl inline>⌽</source> || 1 || [[Reverse]]                              || 0 1 || [[Rotate]]
| <syntaxhighlight lang=apl inline>⌽</syntaxhighlight> || 1 || [[Reverse]]                              || 0 1 || [[Rotate]]
|-
|-
| <syntaxhighlight lang=apl inline>⊖</source> || ∞ || [[Reverse First|Reverse-Down]]            || ∞ ∞ || [[Rotate First|Rotate-Down]]
| <syntaxhighlight lang=apl inline>⊖</syntaxhighlight> || ∞ || [[Reverse First|Reverse-Down]]            || ∞ ∞ || [[Rotate First|Rotate-Down]]
|-
|-
| <syntaxhighlight lang=apl inline>⍉</source> || ∞ || Monadic [[Transpose]]                    || 0 ∞ || Dyadic [[Transpose]]
| <syntaxhighlight lang=apl inline>⍉</syntaxhighlight> || ∞ || Monadic [[Transpose]]                    || 0 ∞ || Dyadic [[Transpose]]
|}
|}


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! Glyph                          !! Rank !! Monadic                !! Ranks !! Dyadic
! Glyph                          !! Rank !! Monadic                !! Ranks !! Dyadic
|-
|-
| <syntaxhighlight lang=apl inline>⊣</source> || ∞ || [[Stop]]                  || ∞ ∞ || [[Left Identity|Left]]
| <syntaxhighlight lang=apl inline>⊣</syntaxhighlight> || ∞ || [[Stop]]                  || ∞ ∞ || [[Left Identity|Left]]
|-
|-
| <syntaxhighlight lang=apl inline>⊢</source> || ∞ || [[Identity|Pass]]        || ∞ ∞ || [[Right Identity|Right]]
| <syntaxhighlight lang=apl inline>⊢</syntaxhighlight> || ∞ || [[Identity|Pass]]        || ∞ ∞ || [[Right Identity|Right]]
|-
|-
| <syntaxhighlight lang=apl inline>≠</source> || ∞ || [[Nubsieve]]              ||    || See [[#Relational|Relational]]
| <syntaxhighlight lang=apl inline>≠</syntaxhighlight> || ∞ || [[Nubsieve]]              ||    || See [[#Relational|Relational]]
|-
|-
| <syntaxhighlight lang=apl inline>↑</source> || ∞ || [[Nub]]                  ||    || See [[#Structural|Structural]]
| <syntaxhighlight lang=apl inline>↑</syntaxhighlight> || ∞ || [[Nub]]                  ||    || See [[#Structural|Structural]]
|-
|-
| <syntaxhighlight lang=apl inline>=</source> || ∞ || [[Nubin]]                ||    || See [[#Relational|Relational]]
| <syntaxhighlight lang=apl inline>=</syntaxhighlight> || ∞ || [[Nubin]]                ||    || See [[#Relational|Relational]]
|-
|-
| <syntaxhighlight lang=apl inline>~</source> ||  || See [[#Scalar|Scalar]]    || ∞ ∞ || [[Without|Less]]
| <syntaxhighlight lang=apl inline>~</syntaxhighlight> ||  || See [[#Scalar|Scalar]]    || ∞ ∞ || [[Without|Less]]
|-
|-
| <syntaxhighlight lang=apl inline>@</source> || 1 || [[Cartesian Product|All]] ||    || See [[#Indexing|Indexing]]
| <syntaxhighlight lang=apl inline>@</syntaxhighlight> || 1 || [[Cartesian Product|All]] ||    || See [[#Indexing|Indexing]]
|-
|-
| <syntaxhighlight lang=apl inline>⍕</source> || ∞ || [[Monadic Format]]        || * ∞ || [[Dyadic Format]]
| <syntaxhighlight lang=apl inline>⍕</syntaxhighlight> || ∞ || [[Monadic Format]]        || * ∞ || [[Dyadic Format]]
|-
|-
| <syntaxhighlight lang=apl inline>⍎</source> || * || [[Execute]]              ||    ||
| <syntaxhighlight lang=apl inline>⍎</syntaxhighlight> || * || [[Execute]]              ||    ||
|}
|}


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! Glyph !!colspan=2|Operands !!colspan=2|Ranks !! Monadic Call  !! Dyadic Call
! Glyph !!colspan=2|Operands !!colspan=2|Ranks !! Monadic Call  !! Dyadic Call
|-
|-
| <syntaxhighlight lang=apl inline>/</source> ||                                    || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>∞</source>  ||                                        || [[Reduce]]                      ||
| <syntaxhighlight lang=apl inline>/</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  ||                                        || [[Reduce]]                      ||
|-
|-
| <syntaxhighlight lang=apl inline>⌿</source> ||                                    || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>∞</source>  ||                                        || [[Reduce First|Reduce-down]]    ||
| <syntaxhighlight lang=apl inline>⌿</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  ||                                        || [[Reduce First|Reduce-down]]    ||
|-
|-
| <syntaxhighlight lang=apl inline>\</source> ||                                    || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>∞</source>  ||                                        || [[Scan]]                        ||
| <syntaxhighlight lang=apl inline>\</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  ||                                        || [[Scan]]                        ||
|-
|-
| <syntaxhighlight lang=apl inline>⍀</source> ||                                    || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>∞</source>  ||                                        || [[Scan First|Scan-down]]        ||
| <syntaxhighlight lang=apl inline>⍀</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  ||                                        || [[Scan First|Scan-down]]        ||
|-
|-
| <syntaxhighlight lang=apl inline>/</source> ||                                    || <syntaxhighlight lang=apl inline>m</source> || <syntaxhighlight lang=apl inline>∞</source>  ||                                        || [[Replicate|Copy]]/[[Compress]] ||
| <syntaxhighlight lang=apl inline>/</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>m</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  ||                                        || [[Replicate|Copy]]/[[Compress]] ||
|-
|-
| <syntaxhighlight lang=apl inline>⌿</source> ||                                    || <syntaxhighlight lang=apl inline>m</source> || <syntaxhighlight lang=apl inline>∞</source>  ||                                        || [[Replicate|Copy]]-down/[[Compress]]-down ||
| <syntaxhighlight lang=apl inline>⌿</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>m</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  ||                                        || [[Replicate|Copy]]-down/[[Compress]]-down ||
|-
|-
| <syntaxhighlight lang=apl inline>\</source> ||                                    || <syntaxhighlight lang=apl inline>m</source> || <syntaxhighlight lang=apl inline>∞</source>  ||                                        || [[Expand]]                      ||
| <syntaxhighlight lang=apl inline>\</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>m</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  ||                                        || [[Expand]]                      ||
|-
|-
| <syntaxhighlight lang=apl inline>⍀</source> ||                                    || <syntaxhighlight lang=apl inline>m</source> || <syntaxhighlight lang=apl inline>∞</source>  ||                                        || [[Expand First|Expand-down]]    ||
| <syntaxhighlight lang=apl inline>⍀</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>m</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  ||                                        || [[Expand First|Expand-down]]    ||
|-
|-
| <syntaxhighlight lang=apl inline>⊂</source> ||                                    || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>∞</source>  || <syntaxhighlight lang=apl inline>rf lf</source> ||colspan=2| Swap
| <syntaxhighlight lang=apl inline>⊂</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  || <syntaxhighlight lang=apl inline>rf lf</syntaxhighlight> ||colspan=2| Swap
|-
|-
| <syntaxhighlight lang=apl inline>&</source> ||                                    || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>∞</source>  || <syntaxhighlight lang=apl inline>∞  ∞</source>  ||colspan=2| Select
| <syntaxhighlight lang=apl inline>&</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>∞</syntaxhighlight>  || <syntaxhighlight lang=apl inline>∞  ∞</syntaxhighlight>  ||colspan=2| Select
|-
|-
| <syntaxhighlight lang=apl inline>⍤</source> || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>g</source> || <syntaxhighlight lang=apl inline>mg</source> || <syntaxhighlight lang=apl inline>mg mg</source> ||colspan=2| On ([[close Over]])
| <syntaxhighlight lang=apl inline>⍤</syntaxhighlight> || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>g</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg mg</syntaxhighlight> ||colspan=2| On ([[close Over]])
|-
|-
| <syntaxhighlight lang=apl inline>⍤</source> || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>n</source> || <syntaxhighlight lang=apl inline>n</source>  || <syntaxhighlight lang=apl inline>n  n</source>  ||colspan=2| [[Rank operator|Rank]]
| <syntaxhighlight lang=apl inline>⍤</syntaxhighlight> || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>n</syntaxhighlight> || <syntaxhighlight lang=apl inline>n</syntaxhighlight>  || <syntaxhighlight lang=apl inline>n  n</syntaxhighlight>  ||colspan=2| [[Rank operator|Rank]]
|-
|-
| <syntaxhighlight lang=apl inline>⍤</source> || <syntaxhighlight lang=apl inline>m</source> || <syntaxhighlight lang=apl inline>g</source> || <syntaxhighlight lang=apl inline>mg</source> || <syntaxhighlight lang=apl inline>mg mg</source> ||colspan=2| [[Cut operator|Cut]]
| <syntaxhighlight lang=apl inline>⍤</syntaxhighlight> || <syntaxhighlight lang=apl inline>m</syntaxhighlight> || <syntaxhighlight lang=apl inline>g</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg mg</syntaxhighlight> ||colspan=2| [[Cut operator|Cut]]
|-
|-
| <syntaxhighlight lang=apl inline>⍥</source> || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>g</source> || <syntaxhighlight lang=apl inline>mg</source> || <syntaxhighlight lang=apl inline>mg mg</source> ||colspan=2| Upon ([[close Atop]])
| <syntaxhighlight lang=apl inline>⍥</syntaxhighlight> || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>g</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg mg</syntaxhighlight> ||colspan=2| Upon ([[close Atop]])
|-
|-
| <syntaxhighlight lang=apl inline>¨</source> || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>g</source> || <syntaxhighlight lang=apl inline>mg</source> || <syntaxhighlight lang=apl inline>mg mg</source> ||colspan=2| [[close Under|Under]]
| <syntaxhighlight lang=apl inline>¨</syntaxhighlight> || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>g</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg mg</syntaxhighlight> ||colspan=2| [[close Under|Under]]
|-
|-
| <syntaxhighlight lang=apl inline>¨</source> || <syntaxhighlight lang=apl inline>m</source> || <syntaxhighlight lang=apl inline>g</source> || <syntaxhighlight lang=apl inline>mg</source> ||                                        ||rowspan="2"|With ([[Bind]])    ||
| <syntaxhighlight lang=apl inline>¨</syntaxhighlight> || <syntaxhighlight lang=apl inline>m</syntaxhighlight> || <syntaxhighlight lang=apl inline>g</syntaxhighlight> || <syntaxhighlight lang=apl inline>mg</syntaxhighlight> ||                                        ||rowspan="2"|With ([[Bind]])    ||
|-
|-
| <syntaxhighlight lang=apl inline>¨</source> || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>n</source> || <syntaxhighlight lang=apl inline>mf</source> ||                                        ||
| <syntaxhighlight lang=apl inline>¨</syntaxhighlight> || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>n</syntaxhighlight> || <syntaxhighlight lang=apl inline>mf</syntaxhighlight> ||                                        ||
|-
|-
| <syntaxhighlight lang=apl inline>.</source> || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>g</source> || <syntaxhighlight lang=apl inline>2</source>  || <syntaxhighlight lang=apl inline>∞  ∞</source>  || [[Alternant]]                  || [[Inner Product|Inner-product]]
| <syntaxhighlight lang=apl inline>.</syntaxhighlight> || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>g</syntaxhighlight> || <syntaxhighlight lang=apl inline>2</syntaxhighlight>  || <syntaxhighlight lang=apl inline>∞  ∞</syntaxhighlight>  || [[Alternant]]                  || [[Inner Product|Inner-product]]
|-
|-
| <syntaxhighlight lang=apl inline>.</source> || <syntaxhighlight lang=apl inline>m</source> || <syntaxhighlight lang=apl inline>g</source> ||                                    || <syntaxhighlight lang=apl inline>∞  ∞</source>  ||                                || [[Tie]], [[Outer Product|Outer-product]]
| <syntaxhighlight lang=apl inline>.</syntaxhighlight> || <syntaxhighlight lang=apl inline>m</syntaxhighlight> || <syntaxhighlight lang=apl inline>g</syntaxhighlight> ||                                    || <syntaxhighlight lang=apl inline>∞  ∞</syntaxhighlight>  ||                                || [[Tie]], [[Outer Product|Outer-product]]
|-
|-
| <syntaxhighlight lang=apl inline>.</source> || <syntaxhighlight lang=apl inline>f</source> || <syntaxhighlight lang=apl inline>m</source> || <syntaxhighlight lang=apl inline>mf</source> ||                                        || [[Ply]]                        ||
| <syntaxhighlight lang=apl inline>.</syntaxhighlight> || <syntaxhighlight lang=apl inline>f</syntaxhighlight> || <syntaxhighlight lang=apl inline>m</syntaxhighlight> || <syntaxhighlight lang=apl inline>mf</syntaxhighlight> ||                                        || [[Ply]]                        ||
|}
|}


{{APL dialects}}[[Category:APL dialects]][[Category:Flat array languages]][[Category:Leading axis languages]]
{{APL dialects}}[[Category:APL dialects]][[Category:Flat array languages]][[Category:Leading axis languages]]

Revision as of 22:14, 10 September 2022

SAX (SHARP APL for UNIX) was a version of SHARP APL offered by Soliton Associates. Notable features of SAX include function rank, the Rank operator, and leading axis theory, as well as relative comparison tolerance and close composition operators including Under.

Primitive functions

Arithmetic

Scalar

All scalar functions have rank zero.

Glyph Monadic Dyadic
+ Conjugate/Identity Addition
- Negate Subtraction
× Signum Multiplication
÷ Reciprocal Division
* Exponential Power
⍟ Natural Logarithm Base-⍺ Logarithm
| Magnitude Residue
! Factorial Out-Of/Combinations
⌊ Floor Minimum
⌈ Ceiling Maximum
○ Pi Times Circle functions
∧ And/Least Common Multiple (LCM)
∨ Or/Greatest Common Divisor (GCD)
⍲ Nand
⍱ Nor
~ Not See Miscellaneous
? Roll See Non-scalar

Non-scalar

Glyph Rank Monadic Ranks Dyadic
⌹ 2 Matrix inverse ∞ 2 Matrix divide
? See Scalar * * Deal
⊤ ∞ ∞ Encode
⊥ ∞ ∞ Decode

Relational

Glyph Rank Monadic Ranks Dyadic
= See Miscellaneous 0 0 Equals
≠ See Miscellaneous 0 0 Not Equals
< See Structural 0 0 Less Than
≤ 0 0 Less Than or Equal
≥ 0 0 Greater Than or Equal
> See Structural 0 0 Greater Than
≡ ∞ ∞ Match
∊ 0 ∞ Membership
⍷ ∞ ∞ Find

Indexing

Glyph Rank Monadic Ranks Dyadic
@ See Miscellaneous 0 ∞ From
⍳ 1 Count 1 0 Index Of
⍸ ∞ ∞ Index
⍋ ∞ Numeric Grade up ∞ ∞ Character Grade up
⍒ ∞ Numeric Grade down ∞ ∞ Character Grade down

Structural

Glyph Rank Monadic Ranks Dyadic
⍴ ∞ Shape of 1 ∞ Reshape
↑ See Miscellaneous 1 ∞ Take
↓ ∞ Raze 1 ∞ Drop
< ∞ Enclose/Box See Relational
⊃ ∞ Conditional Enclose ∞ ∞ Link
> 0 Disclose/Open See Relational
, ∞ Ravel ∞ ∞ Catenate
⍪ ∞ Table ∞ ∞ Catenate-Down
⌽ 1 Reverse 0 1 Rotate
⊖ ∞ Reverse-Down ∞ ∞ Rotate-Down
⍉ ∞ Monadic Transpose 0 ∞ Dyadic Transpose

Miscellaneous

Glyph Rank Monadic Ranks Dyadic
⊣ ∞ Stop ∞ ∞ Left
⊢ ∞ Pass ∞ ∞ Right
≠ ∞ Nubsieve See Relational
↑ ∞ Nub See Structural
= ∞ Nubin See Relational
~ See Scalar ∞ ∞ Less
@ 1 All See Indexing
⍕ ∞ Monadic Format * ∞ Dyadic Format
⍎ * Execute

Primitive Operators

Glyph Operands Ranks Monadic Call Dyadic Call
/ f ∞ Reduce
⌿ f ∞ Reduce-down
\ f ∞ Scan
⍀ f ∞ Scan-down
/ m ∞ Copy/Compress
⌿ m ∞ Copy-down/Compress-down
\ m ∞ Expand
⍀ m ∞ Expand-down
⊂ f ∞ rf lf Swap
& f ∞ ∞ ∞ Select
⍤ f g mg mg mg On (close Over)
⍤ f n n n n Rank
⍤ m g mg mg mg Cut
⍥ f g mg mg mg Upon (close Atop)
¨ f g mg mg mg Under
¨ m g mg With (Bind)
¨ f n mf
. f g 2 ∞ ∞ Alternant Inner-product
. m g ∞ ∞ Tie, Outer-product
. f m mf Ply


APL dialects [edit]
Maintained APL+Win ∙ APL2 ∙ APL64 ∙ APL\iv ∙ Aplette ∙ April ∙ Co-dfns ∙ Dyalog APL ∙ Dyalog APL Vision ∙ dzaima/APL ∙ GNU APL ∙ Kap ∙ NARS2000 ∙ Pometo ∙ TinyAPL
Historical A Programming Language ∙ A+ (A) ∙ APL# ∙ APL2C ∙ APL\360 ∙ APL/700 ∙ APL\1130 ∙ APL\3000 ∙ APL.68000 ∙ APL*PLUS ∙ APL.jl ∙ APL.SV ∙ APLX ∙ Extended Dyalog APL ∙ Iverson notation ∙ IVSYS/7090 ∙ NARS ∙ ngn/apl ∙ openAPL ∙ Operators and Functions ∙ PAT ∙ Rowan ∙ SAX ∙ SHARP APL ∙ Rationalized APL ∙ VisualAPL (APLNext) ∙ VS APL ∙ York APL
Derivatives AHPL ∙ BQN ∙ CoSy ∙ ELI ∙ Glee ∙ I ∙ Ivy ∙ J ∙ Jelly ∙ K (Goal, Klong, Q) ∙ KamilaLisp ∙ Lang5 ∙ Lil ∙ Nial ∙ RAD ∙ Uiua
Overviews Comparison of APL dialects ∙ Timeline of array languages ∙ Timeline of influential array languages ∙ Family tree of array languages
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