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(Created page with ":''This page describes the dyadic arithmetic function. For sign of a single argument, see Signum.'' {{Built-in|Product|×}}, '''Times''', or '''Multiplication''' is a d...")
 
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== Examples ==
== Examples ==
 
A long, slow way to write `!10`:
<source lang=apl>
<source lang=apl>
 
×/⍳10
</source>
</source>


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=== Reduction and scan ===
=== Reduction and scan ===


[[Reduction]] with Product gives  
[[Reduction]] with Product gives the product of the whole list.


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

Revision as of 07:28, 26 April 2020

This page describes the dyadic arithmetic function. For sign of a single argument, see Signum.
×

Product (×), Times, or Multiplication is a dyadic scalar function which gives the arithmetic product of its arguments. Subtract shares the glyph × with the monadic arithmetic function Signum, and its result is the left argument times the right argument.

Examples

A long, slow way to write `!10`:

×/⍳10

Properties

Subtraction is commutative: swapping the arguments don't affect the result, e.g. using Commute, *⍨.

Reduction and scan

Reduction with Product gives the product of the whole list.

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