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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]].''  
−  {{Builtin  +  {{BuiltinTimes×}}, '''Multiply''', or '''Product''' is a [[dyadic]] [[scalar function]] which gives the arithmetic product of its [[argument]]s. Times shares the [[glyph]] <source lang=apl inline>×</source> with the monadic arithmetic function [[Signum]]. 
== Examples ==  == Examples ==  
−  A long, slow way to write  +  A long, slow way to write <source lang=apl inline>!10</source>, assuming <source lang=apl inline>⎕IO←1</source>: 
<source lang=apl>  <source lang=apl>  
×/⍳10  ×/⍳10  
Line 11:  Line 11:  
== Properties ==  == Properties ==  
−  +  Multiplication is [[wikipedia:Commutative propertycommutative]] and [[wikipedia:Associative propertyassociative]], but, due to floating point error, may result in small differences between mathematically equivalent expressions.  
−  =  +  The [[identity element]] for Times is <source lang=apl inline>1</source>. 
−  [[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/  +  * [http://microapl.com/apl_help/ch_020_020_060.htm APLX] 
−  * J [https://www.jsoftware.com/help/dictionary/  +  * J [https://www.jsoftware.com/help/dictionary/d110.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/star#dyadic NuVoc] (as <source lang=j inline>*</source>) 
−  {{APL builtins}}  +  {{APL builtins}}[[Category:Primitive functions]][[Category:Scalar dyadic functions]] 
Latest revision as of 05:09, 25 May 2021
 This page describes the dyadic arithmetic function. For sign of a single argument, see Signum.
×

Times (×
), Multiply, or Product is a dyadic scalar function which gives the arithmetic product of its arguments. Times shares the glyph ×
with the monadic arithmetic function Signum.
Examples
A long, slow way to write !10
, assuming ⎕IO←1
:
×/⍳10
Properties
Multiplication is commutative and associative, but, due to floating point error, may result in small differences between mathematically equivalent expressions.
The identity element for Times is 1
.
Reduction
Reduction with Multiply gives the product of the whole list.
See also
External links
Documentation
 Dyalog
 APLX
 J Dictionary, NuVoc (as
*
)