Bind: Difference between revisions

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{{Built-in|Bind|∘}} is a [[primitive operator]]. It shares the glyph [[Jot]] (<syntaxhighlight lang=apl inline>∘</source>) with [[Beside]]; in many dialects the two operators share the name [[Compose]]. <syntaxhighlight lang=apl inline>∘</source> means Bind if any [[operand]] is an [[array]]. Its [[derived function]]s can only be called monadically.
{{Built-in|Bind|∘}} is a [[primitive operator]]. It shares the glyph [[Jot]] (<syntaxhighlight lang=apl inline>∘</syntaxhighlight>) with [[Beside]]; in many dialects the two operators share the name [[Compose]]. <syntaxhighlight lang=apl inline>∘</syntaxhighlight> means Bind if any [[operand]] is an [[array]]. Its [[derived function]]s can only be called monadically.


Called with an array left operand <syntaxhighlight lang=apl inline>A</source> and function right operand <syntaxhighlight lang=apl inline>g</source>, <syntaxhighlight lang=apl inline>(A∘g) X</source> is equivalent to <syntaxhighlight lang=apl inline>A g X</source>.
Called with an array left operand <syntaxhighlight lang=apl inline>A</syntaxhighlight> and function right operand <syntaxhighlight lang=apl inline>g</syntaxhighlight>, <syntaxhighlight lang=apl inline>(A∘g) X</syntaxhighlight> is equivalent to <syntaxhighlight lang=apl inline>A g X</syntaxhighlight>.


Called with a function left operand <syntaxhighlight lang=apl inline>f</source> and array right operand <syntaxhighlight lang=apl inline>B</source>, <syntaxhighlight lang=apl inline>(f∘B) X</source> is equivalent to <syntaxhighlight lang=apl inline>X f B</source>.
Called with a function left operand <syntaxhighlight lang=apl inline>f</syntaxhighlight> and array right operand <syntaxhighlight lang=apl inline>B</syntaxhighlight>, <syntaxhighlight lang=apl inline>(f∘B) X</syntaxhighlight> is equivalent to <syntaxhighlight lang=apl inline>X f B</syntaxhighlight>.


== Common usage ==
== Common usage ==
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       Inc 1 2 3
       Inc 1 2 3
2 3 4
2 3 4
</source>
</syntaxhighlight>


== External links ==
== External links ==

Revision as of 22:15, 10 September 2022

Bind () is a primitive operator. It shares the glyph Jot () with Beside; in many dialects the two operators share the name Compose. means Bind if any operand is an array. Its derived functions can only be called monadically.

Called with an array left operand A and function right operand g, (Ag) X is equivalent to A g X.

Called with a function left operand f and array right operand B, (fB) X is equivalent to X f B.

Common usage

Bind is used to create a derived function with a single constant argument, particularly in tacit programming:

Try it online!

      Inc+1
      Inc 1 2 3
2 3 4

External links

Lessons

Documentation


APL built-ins [edit]
Primitive functions
Scalar
Monadic ConjugateNegateSignumReciprocalMagnitudeExponentialNatural LogarithmFloorCeilingFactorialNotPi TimesRollTypeImaginarySquare Root
Dyadic AddSubtractTimesDivideResiduePowerLogarithmMinimumMaximumBinomialComparison functionsBoolean functions (And, Or, Nand, Nor) ∙ GCDLCMCircularComplexRoot
Non-Scalar
Structural ShapeReshapeTallyDepthRavelEnlistTableCatenateReverseRotateTransposeRazeMixSplitEncloseNestCut (K)PairLinkPartitioned EnclosePartition
Selection FirstPickTakeDropUniqueIdentitySelectReplicateExpandSet functions (IntersectionUnionWithout) ∙ Bracket indexingIndex
Selector Index generatorGradeIndex OfInterval IndexIndicesDeal
Computational MatchNot MatchMembershipFindNub SieveEncodeDecodeMatrix InverseMatrix DivideFormatExecuteMaterialiseRange
Primitive operators Monadic EachCommuteConstantReplicateExpandReduceWindowed ReduceScanOuter ProductKeyI-BeamSpawnFunction axis
Dyadic BindCompositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner ProductPowerAtUnderRankDepthVariantStencilCut (J)
Quad names
Arrays Index originMigration levelAtomic vector
Functions Name classCase convertUnicode convert
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