Metric Space
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A metric space is a set with a global distance function that for every two of the set's points gives the distance between them as a nonnegative real number.
Metric space is a college-level concept that would be first encountered in a topology course.
Prerequisites
| Metric: | A metric is a nonnegative function describing the distance between neighboring points for a given set. |
| Vector Space: | A vector space is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space. |