(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>.
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=Euclidean Distance=
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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]]
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[[ECE662:Glossary_Old_Kiwi|Back to Decision Theory Glossary]]
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[[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}} $.


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Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett