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>> No.10504625 [View]
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10504625

How does one prove the Euclidean norm (or Pythagorean theorem) is the obvious choice?

I was thinking something like this. Let us have a right angled triangle with 45 degree other angles and side length 1. The hypotenuse can be approximated as a sequence of ladders made from small x and y vectors. When the vectors are infitesimally small, the sum of their length should equal the sum of the hypotenuse.

How to make this formula now?

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