Mathematics
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  • Member for 8 years, 1 month
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  • Last seen Dec 18 '19 at 13:42

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20 Each person has at most 3 enemies in a group. Show that we can separate them into two groups where a person will have at most one enemy in the group. Dec 17 '16
19 Show that an orthogonal group is a $ \frac{n(n−1)}2 $-dim. $ C^{\infty} $-Manifold and find its tangent space May 6 '13
15 Show that $x^{8}+5x^{2}=1$ has exactly $2$ real roots Jan 27 '13
12 Coloring 5 Largest Numbers in Each Row and Column Yields at Least 25 Double-Colored Numbers Dec 12 '13
11 $l^\infty(I)$ and $l^\infty(J)$ isometrically isomorphic with $|I| \not= |J|.$ Feb 28 '14
8 2013 USAMO problem 5 Jul 22 '13
8 Divergence for $p$ prime numbers and convergence for $m$ composite numbers Mar 2 '14
7 In how many ways can a student score exactly $100$ points on four $50$ point exams? greater than $100$? Oct 3 '17
6 Existence of Homomorphism so that Diagram Commutes Dec 13 '13
6 Approximating Integrable Simple Functions by Step Functions Feb 15 '13
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