Π: Difference between revisions

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{{also|ϖ|П|∏|ㄇ|ㅠ|冂|Appendix:Variations of "p"|uni2=auto|uni3=auto|uni4=auto}}
{{also|Π|π|ω}}
{{character info}}
{{character info}}
==Translingual==
==Translingual==
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{{head|mul|symbol}}
{{head|mul|symbol}}


# {{wikipedia|Multiplication#Capital pi notation|Capital pi notation}}{{lb|mul|mathematics}} [[product|Product]] over a [[set]] of like [[terms]]:
# {{lb|mul|mathematics}} The lemniscate constant, a {{l|en|transcendental}} constant representing the ratio of the perimeter of [[lemniscate of Bernoulli|Bernoulli's lemniscate]] to its diameter; approximately 2.62205755.
#: <math>\prod_{n=1}^4 n^2 = 1^2 \cdot 2^2 \cdot 3^2 \cdot 4^2 = 576</math>
# {{lb|mul|mathematics}} [[diameter]] of a [[model κ-plane]]:
# {{lb|mul|mathematics|logic|computer science}} A [[class]] (in some [[hierarchy]] of [[formula]]e, like the [[arithmetical hierarchy]] or [[polynomial hierarchy]]) of those formulae whose outermost [[quantifier]]s are [[universal quantifier]]s.
#: <math>\varpi^\kappa</math>
# {{lb|mul|mathematics}} [[uniformizer]] of a localisation of a number ring at a regular prime ideal:
#: {{head|mul|symbol}}
# {{lb|mul|astronomy}} [[perihelion]], etc.:
#: <math>\varpi</math>
# {{lb|mul|fluid dynamics}} [[angular frequency]] of a [[wave]]


====Usage notes====
====Usage notes====
* {{sense|mathematics}} Though there exists a distinct code point ({{l|mul|∏}}) for the purpose of the mathematical product, the upper case pi here continues to be used for convenience.
* This is a [[glyph]] variant of lower-case [[pi]].
 
===See also===
* {{l|mul|Σ}}
* {{pedia}}
 
==Ancient Greek==
 
===Etymology===
From {{bor|grc|phn|𐤐|t=pē}}.
 
===Letter===
{{head|grc|letter|uppercase||lowercase|π}}
 
# The letter [[pi]] ({{l|grc|πεῖ|tr=-}}), the 16th letter of the ancient [[Greek alphabet]].
 
====Derived terms====
* {{qualifier|[[Cyrillic]]}} {{l|mul|Π|sc=Cyrl}}
* {{qualifier|[[Coptic]]}} {{l|cop|Ⲡ|tr=-}}
* {{q|[[Gothic]]}} {{l|got|𐍀|tr=-}}
 
====See also====
{{Grek-script}}


==Greek==
==Greek==


===Letter===
===Letter===
{{head|el|letter|uppercase||lowercase|π}}
{{head|el|letter|uppercase|Π|lowercase|π|tr=p}}


# The [[uppercase]] letter [[pi]] ([[πι]]), the 16th letter of the modern [[w:Greek alphabet|Greek alphabet]].
# Rare variant of the [[lower case]] letter [[pi]] ([[πι]]), the 16th letter of the modern [[w:Greek alphabet|Greek alphabet]].


===See also===
===See also===
{{Grek-script}}
{{Grek-script}}
* {{l|el|Π΄}}
* {{l|el|͵Π}}

Latest revision as of 08:38, 6 October 2024

Template:Also Template:Character info

Translingual

Symbol

Template:Head

  1. Template:Lb The lemniscate constant, a Template:L constant representing the ratio of the perimeter of Bernoulli's lemniscate to its diameter; approximately 2.62205755.
  2. Template:Lb diameter of a model κ-plane:
    ϖκ
  3. Template:Lb uniformizer of a localisation of a number ring at a regular prime ideal:
    Template:Head
  4. Template:Lb perihelion, etc.:
    ϖ
  5. Template:Lb angular frequency of a wave

Usage notes

  • This is a glyph variant of lower-case pi.

Greek

Letter

Template:Head

  1. Rare variant of the lower case letter pi (πι), the 16th letter of the modern Greek alphabet.

See also

Template:Grek-script

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