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#1 Posted 09:01am 18-12-09 2-11-09 eExpress as sum of squares.Express [im]http://codecogs.izyba.com/gif.latex?(x^2+a^2)(y^2+b^2)(z^2+c^2)[/im] as a sum of two squares
-when spring comes, it melts the snow one flake at a time… |
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#2 Posted 5:36pm 20-12-09 Re: 2-11-09 eExpress as sum of squares.koi ye bhee kar do :P
-when spring comes, it melts the snow one flake at a time… |
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#3 Posted 6:27pm 20-12-09 Re: 2-11-09 eExpress as sum of squares.One way to go is via complex numbers. Hint: Take z[ss]1[/ss] = x + ia, z[ss]2[/ss] = y + ib, z[ss]3[/ss] = z+ic And use the fact that |z[ss]1[/ss] z[ss]2[/ss] z[ss]3[/ss]| = |z[ss]1[/ss]| |z[ss]2[/ss]| |z[ss]3[/ss]| |
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#4 Posted 8:52pm 21-12-09 Re: 2-11-09 eExpress as sum of squares.yup exactly... And this is what i wanted the users to think like.. but alas ;)
-when spring comes, it melts the snow one flake at a time… |
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#5 Posted 6:31pm 29-12-09 Re: 2-11-09 eExpress as sum of squares.Also useful is Lagrange's Identity: [im]http://codecogs.izyba.com/gif.latex?%28a%5E2+b%5E2%29%28c%5E2+d%5E2%29%20%3D%20%28ac-bd%29%5E2+%28ad+bc%29%5E2[/im] |
Displaying Posts 1 - 5 of 5
