Distância Minkowski p

(Σ|Δxᵢ|^p)^(1/p).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

d
5,0000

Formula

Minkowski

About this calculator

The Minkowski p distance calculator computes the distance between two points in a metric space based on the formula (Σ|Δxᵢ|^p)^(1/p). This formula is useful in various areas of mathematics, such as additional algebra, geometry, and analysis.

The Minkowski distance is a distance measure that depends on the value of p. The larger the value of p, the closer the distance will be to the Euclidean distance. Values of p less than 2 result in a distance that is more sensitive to variations in specific directions.

The Minkowski p distance calculator is useful for solving problems of optimals and maximums, as it allows finding the point that minimizes or maximizes an expression of distance. Additionally, it is useful in geometry problems, such as calculating the distance between points in a metric space.

Please verify that the value of p is a positive real number and that the values of xᵢ are being calculated correctly. Also, note that the Minkowski distance is not a metric in all cases, especially when p is not equal to 2.

Frequently asked questions

What is the Minkowski distance?

The Minkowski distance is a distance measure that depends on the value of p. It is useful in various areas of mathematics, such as additional algebra, geometry, and analysis.

When to use the Minkowski p distance calculator?

Use the calculator to solve problems of optimals and maximums, find the point that minimizes or maximizes an expression of distance, or calculate the distance between points in a metric space.

What is the value of p?

The value of p is a positive real number that determines the Minkowski distance. The larger the value of p, the closer the distance will be to the Euclidean distance.

What are the values of xᵢ?

The values of xᵢ are the values of the coordinates of the points in a metric space.

What is the advantage of the Minkowski distance?

The advantage of the Minkowski distance is that it can be used to solve problems of optimals and maximums in various areas of mathematics.

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