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Euclidean distance and Minkowski distance

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

Difference between Euclidean distance and Minkowski distance

Euclidean distance vs. Minkowski distance

In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" straight-line distance between two points in Euclidean space. The Minkowski distance is a metric in a normed vector space which can be considered as a generalization of both the Euclidean distance and the Manhattan distance.

Similarities between Euclidean distance and Minkowski distance

Euclidean distance and Minkowski distance have 5 things in common (in Unionpedia): Chebyshev distance, Lp space, Metric (mathematics), Taxicab geometry, Triangle inequality.

Chebyshev distance

In mathematics, Chebyshev distance (or Tchebychev distance), maximum metric, or L∞ metric is a metric defined on a vector space where the distance between two vectors is the greatest of their differences along any coordinate dimension.

Chebyshev distance and Euclidean distance · Chebyshev distance and Minkowski distance · See more »

Lp space

In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.

Euclidean distance and Lp space · Lp space and Minkowski distance · See more »

Metric (mathematics)

In mathematics, a metric or distance function is a function that defines a distance between each pair of elements of a set.

Euclidean distance and Metric (mathematics) · Metric (mathematics) and Minkowski distance · See more »

Taxicab geometry

A taxicab geometry is a form of geometry in which the usual distance function or metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates.

Euclidean distance and Taxicab geometry · Minkowski distance and Taxicab geometry · See more »

Triangle inequality

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

Euclidean distance and Triangle inequality · Minkowski distance and Triangle inequality · See more »

The list above answers the following questions

Euclidean distance and Minkowski distance Comparison

Euclidean distance has 33 relations, while Minkowski distance has 9. As they have in common 5, the Jaccard index is 11.90% = 5 / (33 + 9).

References

This article shows the relationship between Euclidean distance and Minkowski distance. To access each article from which the information was extracted, please visit:

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