10.17.2005

All Hail Euclid and Pythagoras!

All that talk about n-dimensional space is blowing my mind. We can all thank Euclid and Pythagoras for that one. In talking about image classification, these principles are at the heart of many of the image classification algorithms.

Here is a link to the proof of Pythagoreum's Theorem that is used to define Euclidean Distance in the n-dimensional world we call "Feature Space." Some say Hyper-space, but I will leave this to Star Wars.

Courtesy of MathWorld

The Proof is in the Triangle

and

Euclidean Distance

NC

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