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GeezerVison is showing mathworld.wolfram.com — Normed Space -- from Wolfram MathWorld 
Normed SpaceA normed space, also called a normed linear space, is a vector space possessing a norm.
The Petty equilateral-set conjecture asks whether every real See alsoBounded Operator, Jung Constant, Minkowski Plane, Norm, Normed Ring, Projection Constant, Vector SpaceExplore with Wolfram|Alpha
Cite this as:Weisstein, Eric W. "Normed Space." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NormedSpace.html Subject classifications |
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-dimensional
normed space contains 
pairwise equidistant points.