Balls in Normed Vector Spaces
Any normed vector space V with norm |·| is also a metric space, with the metric d(x, y) = |x − y|. In such spaces, every ball Br(p) is a copy of the unit ball B1(0), scaled by r and translated by p.
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Famous quotes containing the words balls and/or spaces:
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—François Rabelais (1494–1553)
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Midnight shakes the memory
As a madman shakes a dead geranium.”
—T.S. (Thomas Stearns)