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 20:29, 30 April 2021
We know that anexists that equal to
This
where
is the number of composite factors the radius has. This theorem is also used in Newton's Sums, as the
Finally, you'll se it in combo! The number ways you can shuffle
items where
is the number of partitions in an item is the
My coach Iyer Sir approved this nice lemma.
exists that equal to 
This 
where 
is the number of composite factors the radius has. This theorem is also used in Newton's Sums, as the 
Finally, you'll se it in combo! The number ways you can shuffle 
items where 
is the number of partitions in an item is the 
My coach Iyer Sir approved this nice lemma.
