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bounded_function [2013/09/06 23:00] nikolaj |
bounded_function [2014/03/21 11:11] |
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| - | ===== Bounded function ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $ \langle X,d\rangle $ ... metric space | | ||
| - | | @#FFBB00: $f\in \text{BoundedFunction}(X)$ | | ||
| - | |||
| - | | @#DDDDDD: $x,a\in X$ | | ||
| - | | @#DDDDDD: $M\in \mathbb R$ | | ||
| - | |||
| - | | @#55EE55: $ \exists a, M.\ \forall x.\ d(f(x),a) < M$ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | === Reference === | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Bounded_function|Bounded function]] | ||
| - | ==== Parents ==== | ||
| - | === Subset of === | ||
| - | [[Function]] | ||
| - | === Requirements === | ||
| - | [[Metric]] | ||
