4,494
edits
Pi Times: Difference between revisions
Jump to navigation
Jump to search
m
Text replacement - "<source" to "<syntaxhighlight"
(Created page with "{{Built-in|Pi Times|○}} is a monadic scalar function which gives the argument times the mathematical constant <math>\pi</math>. It shares th...") |
m (Text replacement - "<source" to "<syntaxhighlight") |
||
| (3 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{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]] <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]] | |||
== Examples == | == Examples == | ||
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, <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 == | ||
=== 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]] | ||