Difference between revisions of "Chittur Gopalakrishnavishwanathasrinivasaiyer Lemma"
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− | We know that an <math>x</math> exists that equal to <math>\text{ | + | We know that an <math>x</math> exists that equal to <math>42\, \cdot</math> <math>\text{mod} \sqrt{4761}.</math> This <math>x</math> is very powerful in competition math problems. Usually coming up on JMO and AMO geo problems. The Euler Line intersects the radical axis at <math>(x^n, n^x)</math> where <math>n</math> is the number of composite factors the radius has. This theorem is also used in Newton's Sums, as the <math>n</math>th root unity is the same thing as <math>x^n</math> <math>\text{mod}</math> <math>(42*10\cdot(70-1)^n).</math> Finally, you'll se it in combo! The number ways you can shuffle <math>n</math> things into <math>n^2 + nk + 1</math> items where <math>k</math> is the number of partitions in an item is the <math>x^{23\cdot3}.</math> My coach Iyer Sir approved this nice lemma. |
Revision as of 21:29, 30 April 2021
We know that anexists that equal to
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This
is very powerful in competition math problems. Usually coming up on JMO and AMO geo problems. The Euler Line intersects the radical axis at
where
is the number of composite factors the radius has. This theorem is also used in Newton's Sums, as the
th root unity is the same thing as
![]()
![]()
Finally, you'll se it in combo! The number ways you can shuffle
things into
items where
is the number of partitions in an item is the
My coach Iyer Sir approved this nice lemma.