Difference between revisions of "Euler's Four-Square Identity"

(Identity)
(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,x_2, x_3, x_4, y_1, y_2, y_3, y_4</math>, we must have <cmath>hi</cmath>
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''The product of the sum of the four squares is itself, the sum of four squares.''  
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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 11:30, 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 $x_1,x_2, x_3, x_4, y_1, y_2, y_3, y_4$, we must have \[hi\]