metric space

met·ric space

M m

Definitions of metric space words

noun metric space a space with a metric defined on it. 1
noun Definition of metric space in Technology (mathematics) A set of points together with a function, d, called a metric function or distance function. The function assigns a positive real number to each pair of points, called the distance between them, such that: 1. For any point x, d(x,x)=0; 2. For any two distinct points x and y, d(x,y)>0; 3. For any two points x and y, not necessarily distinct, d(x,y) = d(y,x). 4. For any three points x, y, and z, that are not necessarily distinct, d(x,z) <= d(x,y) + d(y,z). The distance from x to z does not exceed the sum of the distances from x to y and from y to z. The sum of the lengths of two sides of a triangle is equal to or exceeds the length of the third side. 1
noun metric space a set for which a metric is defined between every pair of points 0

before 1925

One of the 11% newest English words

First recorded in 1925-30

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This term is known only to a narrow circle of people with rare knowledge. Only 7% of English native speakers know the meaning of this word.

According to our data most of word are more popular. This word is almost not used. It has a much more popular synonym.

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