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:''This page describes the dyadic arithmetic function. For sign of a single argument, see [[Signum]].'' | :''This page describes the dyadic arithmetic function. For sign of a single argument, see [[Signum]].'' | ||
{{Built-in| | {{Built-in|Times|×}}, '''Multiply''', or '''Product''' is a [[dyadic]] [[scalar function]] which gives the arithmetic product of its [[argument]]s. Times shares the [[glyph]] <syntaxhighlight lang=apl inline>×</syntaxhighlight> with the monadic arithmetic function [[Signum]]. | ||
== Examples == | == Examples == | ||
A long, slow way to write | A long, slow way to write <syntaxhighlight lang=apl inline>!10</syntaxhighlight>, assuming <syntaxhighlight lang=apl inline>⎕IO←1</syntaxhighlight>: | ||
< | <syntaxhighlight lang=apl> | ||
×/⍳10 | ×/⍳10 | ||
</ | </syntaxhighlight> | ||
== Properties == | == Properties == | ||
Multiplication is [[wikipedia:Commutative property|commutative]] and [[wikipedia:Associative property|associative]], but, due to floating point error, may result in small differences between mathematically equivalent expressions. | |||
= | The [[identity element]] for Times is <syntaxhighlight lang=apl inline>1</syntaxhighlight>. | ||
[[Reduction]] with | === Reduction === | ||
[[Reduction]] with Multiply gives the product of the whole list. | |||
== See also == | |||
* [[Divide]] | |||
* [[Add]] | |||
* [[Power]] | |||
== External links == | == External links == | ||
| Line 21: | Line 28: | ||
=== Documentation === | === Documentation === | ||
* [ | * [https://help.dyalog.com/latest/index.htm#Language/Primitive%20Functions/Multiply.htm Dyalog] | ||
* [http://microapl.com/apl_help/ch_020_020_060.htm APLX] | |||
* J [https://www.jsoftware.com/help/dictionary/d110.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/star#dyadic NuVoc] (as <syntaxhighlight lang=j inline>*</syntaxhighlight>) | |||
* [https://mlochbaum.github.io/BQN/doc/arithmetic.html#basic-arithmetic BQN] | |||
{{APL built-ins}}[[Category:Primitive functions]][[Category:Scalar dyadic functions]] | |||