Chittur Gopalakrishnavishwanathasrinivasaiyer Lemma

Revision as of 21:28, 30 April 2021 by Readyplayerone (talk | contribs)
We know that an $x$ exists that equal to $\text{42*10 mod (\sqrt{4761}.$ (Error compiling LaTeX. Unknown error_msg) This $x$ is very powerful in competition math problems. Usually coming up on JMO and AMO geo problems. The Euler Line intersects the radical axis at $(x^n, n^x)$ where $n$ is the number of composite factors the radius has. This theorem is also used in Newton's Sums, as the $n$th root unity is the same thing as $x^n$ $\text{mod}$ $(42*10\cdot(70-1)^n).$ Finally, you'll se it in combo! The number ways you can shuffle $n$ things into $n^2 + nk + 1$ items where $k$ is the number of partitions in an item is the $x^{23\cdot3}.$ My coach Iyer Sir approved this nice lemma.