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Euclidean Metric

  • Definition: Given vectors x and y in R^n, the euclidean metric d on R^n is d(x, y) = ||x-y|| = [(x_1 - y_1)^2 + ... + (x_n - y_n)^2]^(1/2).

    Source: Topology (second edition) by James R. Munkres

  • Listed under: Mathematical Analysis, Field Of Topology

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