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All the operators (except typeof) listed exist in C++; the column "Included in C", states whether an operator is also present in C. Note that C does not support operator overloading. When not overloaded, for the operators && , || , and , (the comma operator ), there is a sequence point after the evaluation of the first operand.
In the mathematical theory of Banach spaces, the closed range theorem gives necessary and sufficient conditions for a closed densely defined operator to have closed range. The theorem was proved by Stefan Banach in his 1932 Théorie des opérations linéaires .
Andrew Yao showed [3] that there exists an efficient solution for range queries that involve semigroup operators. He proved that for any constant c, a pre-processing of time and space () allows to answer range queries on lists where f is a semigroup operator in (()) time, where is a certain functional inverse of the Ackermann function.
Another meaning of range in computer science is an alternative to iterator. When used in this sense, range is defined as "a pair of begin/end iterators packed together". [ 1 ] It is argued [ 1 ] that "Ranges are a superior abstraction" (compared to iterators) for several reasons, including better safety.
equal_range: equal_range: equal_range: equal_range: Returns a range of elements matching specific key. lower_bound: lower_bound: lower_bound: lower_bound: Returns an iterator to the first element with a key not less than the given value. upper_bound: upper_bound: upper_bound: upper_bound: Returns an iterator to the first element with a key ...
A variable symbol overall is bound if at least one occurrence of it is bound. [ 1 ] pp.142--143 Since the same variable symbol may appear in multiple places in an expression, some occurrences of the variable symbol may be free while others are bound, [ 1 ] p.78 hence "free" and "bound" are at first defined for occurrences and then generalized ...
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A linear operator : between two topological vector spaces (TVSs) is called a bounded linear operator or just bounded if whenever is bounded in then () is bounded in . A subset of a TVS is called bounded (or more precisely, von Neumann bounded ) if every neighborhood of the origin absorbs it.