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en>Fgalbis
Undid revision 596048338 by Fgalbis (talk) -- made a mistake... it is proper to divide when log is understood to be the natural log.
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{{refimprove|date=September 2013}}
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{{Punctuation marks|≡|caption=Identical to<!--
-->|variant1=≢|caption1=Not identical to}}
{{about|the symbol|the horse jump|oxer}}
{{SpecialChars}}
 
The '''triple bar''', [[≡ (disambiguation)|≡]], is a symbol with multiple, context-dependent meanings. It has the appearance of a "[[Equals sign|=]]" sign with a third line. The triple bar character in [[Unicode]] as codepoint {{unichar|2261|IDENTICAL TO|html=}}. [[LaTeX]] <code>\equiv</code> corresponds to the triple bar.
 
In [[logic]], it has a similar meaning to the [[if and only if]] connective, ⇔. However, in some texts ⇔ is used as a symbol in logic formulas, while ≡ is for reasoning about those formulas (as in [[metalogic]]).
 
In mathematics, it is sometimes used a symbol for [[congruence (disambiguation)|congruence]] (although not the only one). Particularly, in number theory, it has the meaning of [[modular arithmetic|modular congruence]]: <math>a \equiv b \pmod N</math> if ''N'' divides ''a'' − ''b''.
 
This symbol is also used when it appears in an equation which is a definition of its [[left-hand side]], that is an equation which is not derived but instead defined.
 
It is also used for "identical equality" of functions; one writes <math>f \equiv g</math> for two functions ''f'', ''g'' if we have <math>f(x) = g(x)</math> for all ''x''.
 
In [[botanical nomenclature]], the triple bar denotes homotypic [[synonym (taxonomy)|synonyms]] (those based on the same [[type specimen]]), to distinguish them from heterotypic synonyms (those based on different type specimens), which are marked with an [[equals sign]].<ref>{{cite journal |year=2013 |title=Guidelines for authors |journal=[[Taxon (journal)|Taxon]] |volume=62 |issue=1 |pages=211–214 |url=http://www.iapt-taxon.org/downloads/guidelines_authors.pdf |format=[[Portable Document Format|PDF]]}}</ref>
 
In [[chemistry]], the triple bar can be used to represent a [[triple bond]] between atoms. For example, HC≡CH is a common shorthand for [[acetylene]].
 
==References==
{{reflist}}
 
{{logic}}
 
[[Category:Mathematical symbols]]
[[Category:Logic symbols]]
 
 
{{typography-stub}}

Revision as of 18:16, 18 February 2014

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