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单词 Metric Space
释义

Metric Space

A Set with a global distance Function (the Metric ) which, for every two points in ,gives the Distance between them as a Nonnegative Real Number . A metric space must alsosatisfy

1. Iff ,

2. ,

3. The Triangle Inequality .


References

Munkres, J. R. Topology: A First Course. Englewood Cliffs, NJ: Prentice-Hall, 1975.

Rudin, W. Principles of Mathematical Analysis. New York: McGraw-Hill, 1976.


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更新时间:2024/11/15 2:22:52