Difference between revisions of "Euler's Four-Square Identity"
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==Identity== | ==Identity== | ||
| − | ''The product of the sum of the four squares is itself, the sum of four squares.'' Mathematically, for any eight [[Complex numbers|complex numbers]] <math>x_1</math> | + | ''The product of the sum of the four squares is itself, the sum of four squares.'' Mathematically, for any eight [[Complex numbers|complex numbers]] <math>x_1,x_2, x_3, x_4, y_1, y_2, y_3, y_4</math>, we must have <cmath>hi</cmath> |
Revision as of 11:29, 11 August 2018
Identity
The product of the sum of the four squares is itself, the sum of four squares. Mathematically, for any eight complex numbers 
, we must have ![\[hi\]](http://latex.artofproblemsolving.com/d/9/0/d905378736c8ecc63ac29926fd9c2e409cd4d2cc.png)
