Module smartcore::math::distance::euclidian

Euclidean Distance is the straight-line distance between two points in Euclidean spacere that presents the shortest distance between these points.

Euclidian Metric Distance

The Euclidean distance (L2) between two points \( x \) and \( y \) in n-space is defined as

\[ d(x, y) = \sqrt{\sum_{i=1}^n (x-y)^2} \]

Example:

use smartcore::math::distance::Distance;
use smartcore::math::distance::euclidian::Euclidian;

let x = vec![1., 1.];
let y = vec![2., 2.];

let l2: f64 = Euclidian{}.distance(&x, &y);

Structs

Euclidian

Euclidean distance is a measure of the true straight line distance between two points in Euclidean n-space.