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Identity (mathematics) : ウィキペディア英語版 | Identity (mathematics)
In mathematics an identity is an equality relation ''A'' = ''B'', such that ''A'' and ''B'' contain some variables and ''A'' and ''B'' produce the same value as each other regardless of what values (usually numbers) are substituted for the variables. In other words, ''A'' = ''B'' is an identity if ''A'' and ''B'' define the same functions. This means that an ''identity'' is an ''equality'' between functions that are differently defined. For example (''a'' + ''b'')2 = ''a''2 + 2''ab'' + ''b''2 and are identities. Identities are sometimes indicated by the triple bar symbol ≡ instead of =, the equals sign.〔Weiner, Joan (2004).''Frege Explained''. Open Court.〕 == Common identities ==
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