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8 Cards in this Set
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- Back
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Definition of invertibility
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1:1ness (and vice versa!)
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Dense
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For every 2 distinct elements there is a 3rd distinct element in between them.
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Completeness of a system of mathematics
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Every statement can be given a value (T or F).
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Completeness of a set (Cauchy complete)
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A set S is complete (Cauchy complete) iff every convergent sequence from points in S converges to a value in S.
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Just know this: Any invertible function f has the property that its inverse derivative equals the reciprocal of f' at the 'mirror image point'.
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Just know this: Any invertible function f has the property that its inverse derivative equals the reciprocal of f' at the 'mirror image point'.
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Fractal
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A mathematical object whose dimension is non-integer
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Initial Conditions
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Some information you use in order to specify a member of a family.
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Who are the mathematicians we've talked about so far?
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Newton, Leibniz, Gödel, DeMorgan, Hippasus, Gauss, Mandelbrot, Koch, Julia, Cantor
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