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shadow10
  • Member for 10 years, 6 months
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24 votes
3 answers
985 views

A game on a graph

23 votes
2 answers
2k views

A functional equation with no solution

16 votes
4 answers
501 views

An inequality on sequences with each term dividing sum of two neighbouring terms

13 votes
1 answer
172 views

A claim that a is a square

10 votes
1 answer
605 views

A Shapiro type inequality

9 votes
2 answers
464 views

If the sum of cubes of $a,b,c,d$ is $1$, then $\frac{1}{1-bcd}+\frac{1}{1-cda}+\frac{1}{1-dab}+\frac{1}{1-abc}\le \frac{16}{3}$

8 votes
2 answers
371 views

Finding all possible values of $x^4+y^4+z^4$

8 votes
1 answer
129 views

A question of rationality

8 votes
1 answer
611 views

If $P(x)-2^n$ has a rational root for each $n\in\mathbb{N}$, is $P$ linear?

8 votes
3 answers
378 views

An integral inequality with inverse

7 votes
1 answer
2k views

IMO 2014 problem 3, first day

7 votes
2 answers
219 views

Inequality $\cos x+\cos y+\cos z=0$ and $\cos{3x}+\cos{3y}+\cos{3z}=0$ prove that $\cos{2x}\cdot \cos{2y}\cdot \cos{2z}\le 0$

7 votes
1 answer
300 views

Graphs with uncountably many vertices

7 votes
3 answers
191 views

If $a+b+c+d=4$, then $\sum\frac{1}{a+3}\le \frac{1}{abcd}$

7 votes
2 answers
287 views

Size of a family of sets $F$ such that if $|A\cap X|=|B\cap X|$ for all $X\in F$, then $A=B$

6 votes
3 answers
210 views

An uncanny inequality with Gamma function

6 votes
2 answers
515 views

Unique solution comes out to be trace

6 votes
1 answer
248 views

Almost sure convergence through subsequences

6 votes
1 answer
77 views

Polygonal line in a square

6 votes
1 answer
125 views

Finding all such polynomials under a gcd condition

6 votes
1 answer
128 views

A formula for $\pi$ and an inequality

5 votes
1 answer
144 views

Finding all $f:\mathbb R^3\to\mathbb R^*$ satisfying $f(O)=f(A)f(B)f(C)f(D)$ for any non-degenerate tetrahedron $ABCD$ with incenter $O$

5 votes
1 answer
175 views

Evaluating a limit involving integral

5 votes
1 answer
130 views

Prove $\displaystyle\frac{a}{b+3}+\frac{b}{c+3}+\frac{c}{d+3}+\frac{d}{a+3}\le 1$. [duplicate]

5 votes
1 answer
290 views

Squeezing an open set and a compact set between two sets

5 votes
1 answer
330 views

Existence of a continuous surjective map [duplicate]

5 votes
1 answer
148 views

Inequality on length of intervals

5 votes
1 answer
546 views

Two problems related to continuity of a metric from Munkres' topology book

4 votes
1 answer
1k views

Riemann integral of two functions equal almost everywhere

4 votes
2 answers
3k views

Open and closed subset of $\mathbb{R}$

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