Euclidean Distance
Description
Formula
Euclidean Distance Calculator
Numerical Example
Pattern of 2 Dimensional Euclidean Distance
Pseudo Code of N dimension
Euclidean Distance is the most common use of distance. In most cases when people said about distance , they will refer to Euclidean distance. Euclidean distance or simply 'distance' examines the root of square differences between coordinates of a pair of objects.
The interactive program below will enhance your understanding about Euclidean distance. Try usual input that you have learned in Pythagorean Theorem such as A = (0, 0) and B = (3, 4), then explore with your own input up to 6 dimensions.
Input coordinate values of ObjectA and ObjectB (the coordinate are numbers only), then press "Get Euclidean Distance" button. The program will directly calculate when you type the input.


Features 



cost 
time 
weight 
incentive 
Object A 
0 
3 
4 
5 
Object B 
7 
6 
3 
1 
Point A has coordinate (0, 3, 4, 5) and point B has coordinate (7, 6, 3, 1).
The Euclidean Distance between point A and B is
The pattern of Euclidean distance in 2dimension is circular. When the sink is on the center, it forms concentric circles around the center.
Euclidean distance is a special case of Minkowski distance with
Pseudo code of Euclidean Distance
Given: vector x1 and x2, each vector is a coordinate in N dimension
function EuclideanDistance dist=0 for d=1 to N // d = dimension dist=dist+(x1[d]x2[d])^2 next return sqrt(dist ) end function
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This tutorial is copyrighted.
Preferable reference for this tutorial is
Teknomo, Kardi (2015) Similarity Measurement. http:\people.revoledu.comkardi tutorialSimilarity