“upper bound”的概念、定义、翻译、参考文献-科学参考

upper bound

Mathematics

Computer

1. (of a set S on which the partial ordering < is defined) An element u with the property that s < u for all s in S. Also u is a least upper bound if, for any other upper bound v, u < v.
Since numerical computing demands the truncation of infinite arithmetic to finite arithmetic, the computation of least upper bounds of real numbers, indeed of any limit, can only be achieved to a machine tolerance, usually defined to be machine precision: the smallest epsilon eps, such that
$1.0 + eps > 1.0$
in computer arithmetic. See also lower bound.
2. (of a matrix or vector) See array.

单词	upper bound
释义	upper bound Mathematics See bound. Computer 1. (of a set S on which the partial ordering < is defined) An element u with the property that s < u for all s in S. Also u is a least upper bound if, for any other upper bound v, u < v. Since numerical computing demands the truncation of infinite arithmetic to finite arithmetic, the computation of least upper bounds of real numbers, indeed of any limit, can only be achieved to a machine tolerance, usually defined to be machine precision: the smallest epsilon eps, such that $1.0 + eps > 1.0$ in computer arithmetic. See also lower bound. 2. (of a matrix or vector) See array.
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