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单词 Metric
释义

Metric

A Nonnegative function describing the ``Distance'' between neighboring points for a givenSet. A metric satisfies the Triangle Inequality


and is symmetric, so


A Set possessing a metric is called a Metric Space. When viewed as a Tensor, the metric is calleda Metric Tensor.

See also Cayley-Klein-Hilbert Metric, Distance, Fundamental Forms, Hyperbolic Metric, MetricEntropy, Metric Equivalence Problem, Metric Space, Metric Tensor, Part Metric, RiemannianMetric, Ultrametric
References

Gray, A. ``Metrics on Surfaces.'' Ch. 13 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 251-265, 1993.


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