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Metric space and Similarity (geometry)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Metric space and Similarity (geometry)

Metric space vs. Similarity (geometry)

In mathematics, a metric space is a set for which distances between all members of the set are defined. Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other.

Similarities between Metric space and Similarity (geometry)

Metric space and Similarity (geometry) have 8 things in common (in Unionpedia): Bijection, Euclidean distance, Euclidean space, Function (mathematics), Hyperbolic geometry, Lipschitz continuity, Measure (mathematics), Real number.

Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

Bijection and Metric space · Bijection and Similarity (geometry) · See more »

Euclidean distance

In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" straight-line distance between two points in Euclidean space.

Euclidean distance and Metric space · Euclidean distance and Similarity (geometry) · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Euclidean space and Metric space · Euclidean space and Similarity (geometry) · See more »

Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Function (mathematics) and Metric space · Function (mathematics) and Similarity (geometry) · See more »

Hyperbolic geometry

In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.

Hyperbolic geometry and Metric space · Hyperbolic geometry and Similarity (geometry) · See more »

Lipschitz continuity

In mathematical analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a strong form of uniform continuity for functions.

Lipschitz continuity and Metric space · Lipschitz continuity and Similarity (geometry) · See more »

Measure (mathematics)

In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.

Measure (mathematics) and Metric space · Measure (mathematics) and Similarity (geometry) · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Metric space and Real number · Real number and Similarity (geometry) · See more »

The list above answers the following questions

Metric space and Similarity (geometry) Comparison

Metric space has 167 relations, while Similarity (geometry) has 84. As they have in common 8, the Jaccard index is 3.19% = 8 / (167 + 84).

References

This article shows the relationship between Metric space and Similarity (geometry). To access each article from which the information was extracted, please visit:

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