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Mar
31
comment There is a $3\times 3 $ orthogonal matrix with all non zero entries.?
@PraphullaKoushik The line consisting of vectors of the form $k ( e_1 + A) $ for some constant $k$.
Mar
4
awarded  Nice Answer
Jan
5
revised Prove $n\mid \phi(2^n-1)$
deleted 56 characters in body
Jan
5
revised Proving irreducibility of $x^6-72$
added 56 characters in body
Jan
5
revised Prove $n\mid \phi(2^n-1)$
added 4 characters in body
Dec
29
awarded  Yearling
Dec
7
revised A tricky probability question.
edited body
Nov
28
awarded  Guru
Nov
16
awarded  Nice Question
Oct
3
answered Inequality. $(a^2+bc)(b^2+ca)(c^2+ab) \geq abc(a+b)(b+c)(c+a)$
Sep
14
revised Minimum of $\frac{1}{x+y}+\frac{1}{x+z}-\frac{1}{x+y+z}$ for $0\leq x+y,y+z,z+x\leq 1$
edited body
Sep
12
answered Minimum of $\frac{1}{x+y}+\frac{1}{x+z}-\frac{1}{x+y+z}$ for $0\leq x+y,y+z,z+x\leq 1$
Sep
7
comment How many ways to write $2010$?
@joriki Oh haha, yes that works too! You should edit that into your solution, with the cancellation reference.
Sep
6
comment How many ways to write $2010$?
On the right track at the start, but your cases become complicated. See my solution.
Sep
6
comment How many ways to write $2010$?
Having found the likelihood of a simplification, it is good to check if there is an actual bijection that we can establish. See my solution.
Sep
6
answered How many ways to write $2010$?
Sep
6
revised For any arrangment of numbers 1 to 10 in a circle, there will always exist a pair of 3 adjacent numbers in the circle that sum up to 17 or more
added 61 characters in body
Sep
6
awarded  Enlightened
Sep
6
awarded  Nice Answer
Sep
2
answered Functional equation: Show $0\le f(n+1)-f(n)\le 1$ and find all $n$ such that $f(n)=1025$.