## Metric Space

A **metric space** is an ordered pair where is a set and is a metric on, i.e., a function

Read more about Metric Space.

### Some articles on metric space:

Convex

... In mathematics, convex

**Metric Space**... In mathematics, convex

**metric spaces**are, intuitively,**metric spaces**with the property any "segment" joining two points in that**space**has other points in it besides the ... Formally, consider a**metric space**(X, d) and let x and y be two points in X ... A convex**metric space**is a**metric space**(X, d) such that, for any two distinct points x and y in X, there exists a third point z in X lying between x and y ...Limit Set - Definition For Iterated Functions

... Let be a

... Let be a

**metric space**, and let be a continuous function ... The closure is here needed, since we have not assumed that the underlying**metric space**of interest to be a complete**metric space**...Minkowskiâ€“Bouligand Dimension - Alternative Definitions

... is that this definition generalizes to any

... is that this definition generalizes to any

**metric space**... assume the fractal is contained in a Euclidean**space**, and define boxes according to the external structure "imposed" by the containing**space**... that they measure the amount of "disorder" in the**metric space**or fractal at scale, and also measure how many "bits" one would need to describe an ...Completed - Mathematical Completeness

... It may be described equivalently as either the completeness of R as

... It may be described equivalently as either the completeness of R as

**metric space**or as a partially ordered set (see below) ... A**metric space**is complete if every Cauchy sequence in it converges ... See Complete**metric space**...Generalizations of

... Every

**Metric Space**s -**Metric Space**s As Enriched Categories... Every

**metric space**can now be viewed as a category enriched over Set For each set The composition morphism will be the unique morphism in given from the triangle inequality The identity morphism will be ...### Famous quotes containing the word space:

“At first thy little being came:

If nothing once, you nothing lose,

For when you die you are the same;

The *space* between, is but an hour,

The frail duration of a flower.”

—Philip Freneau (1752–1832)

Main Site Subjects

Related Subjects

Related Phrases

Related Words