计算4维向量之间的欧几里得距离 [英] Calculate Euclidean distance between 4-dimensional vectors

问题描述

假设我有两个4维矢量(即a和b)，如下所示:

Let's say I have two 4-dimensional vectors (i.e. a and b) as follows:

a = {a1, a2, a3, a4}
b= {b1, b2, b3, b4}

如何计算这些向量之间的欧几里得距离?

How do I compute the Euclidean distance between these vectors?

推荐答案

欧几里德距离演算与维数无关.

The euclidian distance calculus is independent of dimensions.

在您的情况下，a和b之间的欧式距离可以写为:d(a，b)= sqrt(sum_ {i = 1} ^ {4}(a [i]-b [i])^ 2).

In your case, the euclidian distance between a and b can be written as: d(a,b) = sqrt(sum_{i=1}^{4} (a[i] - b[i])^2).

或者，更具体地说:d(a，b)= sqrt((a1-b1)^ 2 +(a2-b2)^ 2 +(a3-b3)^ 2 +(a4-b4)^ 2).

Or, more specifically: d(a,b) = sqrt( (a1-b1)^2 + (a2-b2)^2 + (a3-b3)^2 + (a4-b4)^2 ).

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