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Pi Times: Difference between revisions
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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]] < | {{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]] <syntaxhighlight 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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The value of <math>\pi</math> can be obtained by giving the argument of 1. | The value of <math>\pi</math> can be obtained by giving the argument of 1. | ||
< | <syntaxhighlight lang=apl> | ||
○1 | ○1 | ||
3.141592654 | 3.141592654 | ||
</ | </syntaxhighlight> | ||
As a pun, < | As a pun, <syntaxhighlight 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 == | ||