Pi Times: Difference between revisions

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27 bytes added ,  21:09, 10 September 2022
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{{Built-in|Pi Times|○}} is a [[monadic]] [[scalar function]] which gives the [[argument]] [[times]] the mathematical constant [[wikipedia:pi|pi]] <math>\pi</math>. Its [[glyph]] <source lang=apl inline>○</source>, which is shared with the dyadic arithmetic function [[Circular]], alludes to pi being the ratio of a circle's circumference to its diameter. The phrase "some value times <math>\pi</math>" appears frequently in mathematical formulas related to a [[wikipedia:circle|circle]] or [[wikipedia:trigonometric functions|trigonometric functions]] while <math>\pi</math> raised to some [[power]] is rare, which explains the design decision behind this function.
{{Built-in|Pi Times|○}} is a [[monadic]] [[scalar function]] which gives the [[argument]] [[times]] the mathematical constant [[wikipedia:pi|pi]] <math>\pi</math>. Its [[glyph]] <source lang=apl inline>○</syntaxhighlight>, which is shared with the dyadic arithmetic function [[Circular]], alludes to pi being the ratio of a circle's circumference to its diameter. The phrase "some value times <math>\pi</math>" appears frequently in mathematical formulas related to a [[wikipedia:circle|circle]] or [[wikipedia:trigonometric functions|trigonometric functions]] while <math>\pi</math> raised to some [[power]] is rare, which explains the design decision behind this function.


[[File:Applepie.jpg|thumb|right|A circular apple pie]]
[[File:Applepie.jpg|thumb|right|A circular apple pie]]
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       ○1
       ○1
3.141592654
3.141592654
</source>
</syntaxhighlight>


As a pun, <source lang=apl inline>○1</source> is often called ''apple pie'', jokingly using an unconventional pronunciation of [[the name APL]] in conjunction with the [[wikipedia:homophone|homophone]]s ''pi''/''pie''.
As a pun, <source lang=apl inline>○1</syntaxhighlight> is often called ''apple pie'', jokingly using an unconventional pronunciation of [[the name APL]] in conjunction with the [[wikipedia:homophone|homophone]]s ''pi''/''pie''.
== External links ==
== External links ==


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