## Euclidean norm

The most common norm, calculated by summing the squares of all coordinates and taking the square root. This is the essence of Pythagoras's theorem. In the infinite-dimensional case, the sum is infinite or is replaced with an integral when the number of dimensions is uncountable.

Last updated: 2004-02-15

### Nearby terms:

Euclidean Algorithm ♦ **Euclidean norm** ♦ Euclid's Algorithm ♦ Eudora

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