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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
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.
(2004-02-15)