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In elementary algebra, parentheses ( ) are used to specify the order of operations. [1] Terms inside the bracket are evaluated first; hence 2×(3 + 4) is 14, 20 ÷ (5(1 + 1)) is 2 and (2×3) + 4 is 10. This notation is extended to cover more general algebra involving variables: for example (x + y) × (x − y). Square brackets are also often ...
Parentheses can be nested, and should be evaluated from the inside outward. For legibility, outer parentheses can be made larger than inner parentheses. Alternately, other grouping symbols, such as curly braces { } or square brackets [ ], are sometimes used along with parentheses ( ). For example:
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.
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
4. Iverson bracket: if P is a predicate, [] may denote the Iverson bracket, that is the function that takes the value 1 for the values of the free variables in P for which P is true, and takes the value 0 otherwise.
parentheses (for precedence grouping) ... See History of algebra: The symbol x. 1637 [2] ... a.k.a. curly brackets (for set notation) 1895
Erasmus coined the term lunula to refer to the round brackets or parentheses ( ) recalling the shape of the crescent moon (Latin: luna). [6] Most typewriters only had the left and right parentheses. Square brackets appeared with some teleprinters. Braces (curly brackets) first became part of a character set with the 8-bit code of the IBM 7030 ...
Formerly its main use was as a notation to indicate a group (a bracketing device serving the same function as parentheses): a − b + c ¯ , {\displaystyle a-{\overline {b+c}},} meaning to add b and c first and then subtract the result from a , which would be written more commonly today as a − ( b + c ) .