queenkaykay21savage queenkaykay21savage

04-12-2020
Mathematics

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What does distance preserving mean

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04-12-2020

Answer:

A rotation is distance preserving. All points in space are rotated but the distance between any 2 points before and after the rotation is preserved.

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dakocoop05 dakocoop05

24-09-2021

Answer: A map f : X → Y is called an isometry or distance preserving if for any a,b ∈ X one has. An isometry is automatically injective; otherwise two distinct points, a and b, could be mapped to the same point, thereby contradicting the coincidence axiom of the metric d.

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