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In mathematics, brackets of various typographical forms, such as parentheses ( ), square brackets [ ], braces { } and angle brackets , are frequently used in mathematical notation. Generally, such bracketing denotes some form of grouping: in evaluating an expression containing a bracketed sub-expression, the operators in the sub-expression take ...
For example, in the expression 3(x+y) the parentheses are symbols of grouping, but in the expression (3, 5) the parentheses may indicate an open interval. The most common symbols of grouping are the parentheses and the square brackets, and the latter are usually used to avoid too many repeated parentheses.
and ) are parentheses / p ə ˈ r ɛ n θ ɪ s iː z / (singular parenthesis / p ə ˈ r ɛ n θ ɪ s ɪ s /) in American English, and either round brackets or simply brackets in British English. [1] [4] They are also known as "parens" / p ə ˈ r ɛ n z /, "circle brackets", or "smooth brackets". In formal writing, "parentheses" is also used ...
Order of operations, uses multiple types of brackets; Set, uses braces "{}" Interval, uses square brackets and parentheses; Matrix, uses square brackets and parentheses; Inner product space, uses parentheses and chevrons
Because of its use in the US Code and other US law books, many American lawyers consequently use this outline format. Another alternative scheme repeats all five levels with a single parenthesis for the second five – I) A) 1) a) i) – and then again with a double parenthesis for the third five – (I) (A) (1) (a) (i). [citation needed]
More often, the double-bracket notation [[ ]] is used to denote a wp:wikilink (or hyperlink) connecting to another page. See also: {{ Bracket }} and Wikipedia:Manual of Style#Brackets and parentheses .
The acronym's procedural application does not match experts' intuitive understanding of mathematical notation: mathematical notation indicates groupings in ways other than parentheses or brackets and a mathematical expression is a tree-like hierarchy rather than a linearly "ordered" structure; furthermore, there is no single order by which ...
Similarly, the vertical bar may see use as a delimiter for regular expression operations (e.g. in sed). This is useful when the regular expression contains instances of the more common forward slash ( / ) delimiter; using a vertical bar eliminates the need to escape all instances of the forward slash.
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