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In mathematics, various typographical forms of brackets are frequently used in mathematical notation such as parentheses ( ), square brackets (), braces , and angle brackets . In the typical use, a mathematical expression is enclosed between an "opening bracket" and a matching "closing bracket". Generally such bracketing denotes some form of grouping: in evaluating an expression containing a bracketed sub-expression, the operators in the sub-expression take precedence over those surrounding it. Additionally, there are several specific uses and meanings for the various brackets. Historically, other notations, such as the vinculum, were similarly used for grouping; in present-day use, these notations all have specific meanings. The earliest use of brackets to indicate aggregation (i.e. grouping) was suggested in 1608 by Christopher Clavius and in 1629 by Albert Girard.〔Cajori, Florian 1980. ''A history of mathematics''. New York: Chelsea Publishing, p. 158〕 In the Z formal specification language, braces denote a set and angle brackets denote a sequence. ==Symbols for representing angle brackets== A variety of different symbols are used to represent angle brackets. In e-mail and other ASCII text it is common to use the less-than (<) and greater-than (>) signs to represent angle brackets, because ASCII does not include angle brackets.〔.〕 Unicode has three pairs of dedicated characters: * U+2329 (〈) and U+232A (〉) (''left/right-pointing angle bracket'') which are deprecated〔(【引用サイトリンク】 )〕 * U+27E8 (⟨) and U+27E9 (⟩) (''mathematical left/right angle bracket'') * U+3008 (〈) and U+3009 (〉) (''left/right angle bracket'' in Chinese punctuation) In LaTeX the markup is \langle and \rangle: . 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bracket (mathematics)」の詳細全文を読む スポンサード リンク
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