Divide: Difference between revisions

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:''This page describes the dyadic arithmetic function. For reciprocal of a single argument, see [[Reciprocal]].''
:''This page describes the dyadic arithmetic function. For reciprocal of a single argument, see [[Reciprocal]].''


{{Built-in|Divide|÷}}, or '''Over''' is a [[dyadic]] [[scalar function]] which gives the arithmetic product of its [[argument]]s. Divide shares the [[glyph]] <source lang=apl inline>÷</source> with the monadic arithmetic function [[Reciprocal]], and its result is the left argument over the right argument.
{{Built-in|Divide|÷}} is a [[dyadic]] [[scalar function]] which gives the arithmetic ratio of its [[argument]]s. Divide shares the [[glyph]] <source lang=apl inline>÷</source> with the monadic arithmetic function [[Reciprocal]], and its result is the left argument divided by the right argument.


== Examples ==
== Examples ==
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1.5J0.5 1.25J¯1.25 20J25
1.5J0.5 1.25J¯1.25 20J25
   
   
       ⎕DIV←1
       ⎕DIV←1 ⍝ this sets division by 0 to always return 0
       2 0 5÷4 0 0
       2 0 5÷4 0 0
0.5 0 0
0.5 0 0
Line 22: Line 22:
=== Reduction and scan ===
=== Reduction and scan ===


[[Reduction]] with Division gives the alternating product of the whole list.
[[Reduction]] with Division gives the alternating product.


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

Revision as of 15:15, 26 April 2020

This page describes the dyadic arithmetic function. For reciprocal of a single argument, see Reciprocal.
÷

Divide (÷) is a dyadic scalar function which gives the arithmetic ratio of its arguments. Divide shares the glyph ÷ with the monadic arithmetic function Reciprocal, and its result is the left argument divided by the right argument.

Examples

      2 0 5÷4 0 2
0.5 1 2.5
 
      3j1 2.5 4j5÷2 1j1 .2
1.5J0.5 1.25J¯1.25 20J25
 
      ⎕DIV←1  ⍝ this sets division by 0 to always return 0
      2 0 5÷4 0 0
0.5 0 0

Properties

Division is anti-commutative: swapping the arguments yield the reciprocal of the result.

Reduction and scan

Reduction with Division gives the alternating product.

External links

Documentation

APL built-ins [edit]
Primitives (Timeline) Functions
Scalar
Monadic ConjugateNegateSignumReciprocalMagnitudeExponentialNatural LogarithmFloorCeilingFactorialNotPi TimesRollTypeImaginarySquare Root
Dyadic AddSubtractTimesDivideResiduePowerLogarithmMinimumMaximumBinomialComparison functionsBoolean functions (And, Or, Nand, Nor) ∙ GCDLCMCircularComplexRoot
Non-Scalar
Structural ShapeReshapeTallyDepthRavelEnlistTableCatenateReverseRotateTransposeRazeMixSplitEncloseNestCut (K)PairLinkPartitioned EnclosePartition
Selection FirstPickTakeDropUniqueIdentityStopSelectReplicateExpandSet functions (IntersectionUnionWithout) ∙ Bracket indexingIndexCartesian ProductSort
Selector Index generatorGradeIndex OfInterval IndexIndicesDealPrefix and suffix vectors
Computational MatchNot MatchMembershipFindNub SieveEncodeDecodeMatrix InverseMatrix DivideFormatExecuteMaterialiseRange
Operators Monadic EachCommuteConstantReplicateExpandReduceWindowed ReduceScanOuter ProductKeyI-BeamSpawnFunction axis
Dyadic BindCompositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner ProductDeterminantPowerAtUnderRankDepthVariantStencilCutDirect definition (operator)
Quad names Index originComparison toleranceMigration levelAtomic vector