One of the symbols { and } used in many different contexts in mathematics. Braces are used

1. To denote grouping of mathematical terms, usually as the outermost delimiter in a complex expression such as {a+b[c+d(e+f)]},

2. To delineate a set, as in {a_1,...,a_n},

3. Using a left brace only, to denote different cases for an expression, such as

 p(n)={1   for n even; 0   for n odd,

4. Using a single horizontal underbrace, to indicate the number of items in a list with not all elements shown explicitly, as in 1,1,...,1_()_(n).

5. As an alternate notation for the fractional part function, {x}=frac(x).

6. As an alternate notation for the ceiling function, {x}=[x] (Harary 1994, pp. 91, 93, and 118-119).

See also

Angle Bracket, Bracket, Parenthesis, Square Bracket

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Bringhurst, R. The Elements of Typographic Style, 2nd ed. Point Roberts, WA: Hartley and Marks, p. 273, 1997.Harary, F. Graph Theory. Reading, MA: Addison-Wesley, 1994.

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Cite this as:

Weisstein, Eric W. "Brace." From MathWorld--A Wolfram Web Resource.

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