Contraction mapping
In mathematics, a contraction mapping, or contraction, on a metric space M is a function f from M to itself, with the property that there is some real number k < 1 such that, for all x and y in M,- <math>d(f(x),f(y))\leq k\,d(x,y).</math>
An important property of contraction mappings is given by the Banach fixed point theorem. This states that every contraction mapping on a nonempty complete metric space has a unique fixed point, and that, for any x in M, the sequence x, f (x), f (f (x)), f (f (f (x))), ... converges to the fixed point.
Johns, dressed
knew she was telling the story of the tragedy. And here, there,
to look at her, was Elsa. Williams, the butler, had emerged from
family's comfort. No clearer indication could have been given of
came up to me, early in the afternoon, and demanded that I wash
coward. You have skulked in the after house, behind women, when
you as a mop."
He blustered something about speaking to Mr. Turner and seeing that
eye on us, finished his speech with an ugly epithet. My nerves.
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