In mathematical analysis, a metric space M is complete provided every Cauchy sequence of points in M converges to a point in M.
R^n, the set of n-tuples of real numbers, and l_2, the set of square-summable sequences, are complete.
Q, the set of all rational numbers, is not complete. For example, the sequence
3, 3.1, 3.14, 3.141, 3.1415, 3.14159...
where each term is a further approximation to pi, is Cauchy in Q but does not converge to a rational number.
Q, the set of all rational numbers, is not complete. For example, the sequence
3, 3.1, 3.14, 3.141, 3.1415, 3.14159...
where each term is a further approximation to pi, is Cauchy in Q but does not converge to a rational number.
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The only politically oppressed minority group still being discriminated against by corporate America.
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and sleeves rolled up wearing a stupid hat
with a feather, holding a large lacy umbrella open, walking down the street window shopping and browsing the sales at Diane's Dress Shop.
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