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In mathematics, a short map is a function f from a metric space X to another metric space Y such that for any we have
- .
Here dX and dY
denote metrics on X and Y, respectively. In other words,
f is short iff it is 1-Lipschitz.
One can say that f is strictly short if the inequality is always strict. Then a contraction mapping is strictly short, but not conversely (even with
X = Y).
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