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3 Cards in this Set
- Front
- Back
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Definition of a metric
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A metric on a set M is a function d from MxM to R such that
1 d is positive 2 d is symmetric 3 satisfies the triangle inequality |
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Definition of a metric
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The pair (M,d) is a metric space.
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Bounded subset of a metric space
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A subset S of a metric space M is bounded if there exists an a contained in M and r contained in (0,infinity) such that S is contained in B(a,r)
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