Definition:Bound of Real-Valued Function
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This page is about Bound in the context of Real-Valued Function. For other uses, see Bound.
Definition
Let $S$ be a set.
Let $f: S \to \R$ be a real-valued function.
Let $f$ be bounded.
Then $B$ is a bound for $f$ if and only if:
- $\forall x \in S: B \ge \size {\map f x}$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): bound: 1. (of a function)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): bound: 1. (of a function)