Logarithm: Difference between revisions

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:''This page describes the dyadic arithmetic function. For the monadic natural logarithm function, see [[Natural Logarithm]].''
:''This page describes the dyadic arithmetic function. For the monadic natural logarithm function, see [[Natural Logarithm]].''


{{Built-in|Logarithm|⍟}}, or '''Log''', is a [[dyadic]] [[scalar function]] which computes the [[wikipedia:logarithm|logarithm]] of the two [[argument|arguments]]. More precisely, <source lang=apl inline>X⍟Y</source> computes how much [[power]] of X equals Y, i.e. the value of R that satisfies <source lang=apl inline>Y=X*R</source>. Logarithm shares the [[glyph]] <source lang=apl inline>⍟</source> with the monadic arithmetic function [[Natural Logarithm]]. The [[glyph]], a composition of the glyphs for [[Circular]] (<source lang=apl inline>○</source>) and [[Power]] (<source lang=apl inline>*</source>) to indicate its close mathematical ties with these two functions, is a stylised tree log.
{{Built-in|Logarithm|⍟}}, or '''Log''', is a [[dyadic]] [[scalar function]] which computes the [[wikipedia:logarithm|logarithm]] of the two [[argument|arguments]]. More precisely, <source lang=apl inline>X⍟Y</source> computes how much [[power]] of X equals Y, i.e. the value of R that satisfies <source lang=apl inline>Y=X*R</source>. Logarithm shares the [[glyph]] <source lang=apl inline>⍟</source> with the monadic arithmetic function [[Natural Logarithm]]. The [[glyph]], a composition of the glyphs for [[Circular]] (<source lang=apl inline>○</source>) and [[Power]] (<source lang=apl inline>*</source>) to indicate its close mathematical ties with these two functions, is a stylised tree log.<ref>[[E. E. McDonnell|McDonnell, E. E.]]. [https://www.jsoftware.com/papers/eem/storyofo.htm Recreational APL: The Story of <source lang=apl inline>○</source>]. [[APL Quote-Quad]], Volume 8, Number 2, 1977-12.</ref>


== Examples ==
== Examples ==
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* [http://microapl.com/apl_help/ch_020_020_220.htm APLX]
* [http://microapl.com/apl_help/ch_020_020_220.htm APLX]
* J [https://www.jsoftware.com/help/dictionary/d201.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/hatdot#dyadic NuVoc]
* J [https://www.jsoftware.com/help/dictionary/d201.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/hatdot#dyadic NuVoc]
{{APL built-ins}}[[Category:Primitive functions]][[Category:Scalar dyadic functions]]
 
== References ==
<references/>
{{APL built-ins}}[[Category:Primitive functions]][[Category:Scalar monadic functions]]

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