(New page: Is the distance between two points in a cartesian coordinate system that is "measured by a ruler". The Euclidean distance between the points X=[x1,x2,...xn] and Y=[y1,y2,...yn] is defined ...) |
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| − | Is the distance between two points in a cartesian coordinate system that is "measured by a ruler". The Euclidean distance between the points X=[x1,x2,...xn] and Y=[y1,y2,...yn] is defined as <math>dist(X,Y)=\sqrt{\sum_{i=1}^n{(x_i-y_i)^2}}</math>. | + | =Euclidean Distance= |
| + | The Euclidean distance Is the distance between two points in a cartesian coordinate system that is "measured by a ruler". The Euclidean distance between the points X=[x1,x2,...xn] and Y=[y1,y2,...yn] is defined as | ||
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| + | <math>dist(X,Y)=\sqrt{\sum_{i=1}^n{(x_i-y_i)^2}}</math>. | ||
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| + | *[[Drawbacks_of_Euclidean_distance_%28E.D%29_Old_Kiwi|Drawbacks of Euclidean distance]] | ||
| + | ---- | ||
| + | [[ECE662:Glossary_Old_Kiwi|Back to Decision Theory Glossary]] | ||
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| + | [[ECE662|Back to ECE662]] | ||
Latest revision as of 16:29, 30 November 2010
Euclidean Distance
The Euclidean distance Is the distance between two points in a cartesian coordinate system that is "measured by a ruler". The Euclidean distance between the points X=[x1,x2,...xn] and Y=[y1,y2,...yn] is defined as
$ dist(X,Y)=\sqrt{\sum_{i=1}^n{(x_i-y_i)^2}} $.
