(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]] | ||
+ | |||
+ | [[ECE662|Back to ECE662]] |
Latest revision as of 15:29, 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}} $.