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|<math>\pi</math> | {{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. | ||
[[File:Applepie.jpg|thumb|right|A circular apple pie]] | |||
== Examples == | == Examples == | ||
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</source> | </source> | ||
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''. | |||
== External links == | == External links == | ||
=== Documentation === | === Documentation === | ||
* [ | * [https://help.dyalog.com/latest/#Language/Primitive%20Functions/Pi%20Times.htm Dyalog] | ||
* [http://microapl.com/apl_help/ch_020_020_230.htm APLX] | * [http://microapl.com/apl_help/ch_020_020_230.htm APLX] | ||
* [https://www.jsoftware.com/help/dictionary/dodot.htm J Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/odot NuVoc] | * [https://www.jsoftware.com/help/dictionary/dodot.htm J Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/odot NuVoc] | ||
{{APL built-ins}}[[Category:Primitive functions]][[Category:Scalar monadic functions]] | {{APL built-ins}}[[Category:Primitive functions]][[Category:Scalar monadic functions]] |
Revision as of 14:31, 14 July 2020
○
|
Pi Times (○
) is a monadic scalar function which gives the argument times the mathematical constant pi . Its glyph ○
, 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 " appears frequently in mathematical formulas related to a circle or trigonometric functions while raised to some power is rare, which explains the design decision behind this function.
Examples
The value of can be obtained by giving the argument of 1.
○1 3.141592654
As a pun, ○1
is often called apple pie, jokingly using an unconventional pronunciation of the name APL in conjunction with the homophones pi/pie.