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Oct
24
answered Construction of an infinite set such that any two number from the set are relatively prime
Oct
22
answered What is the optimal angle when throwing a stone on a slope?
Oct
22
answered Find an infinite set of positive integers such that the sum of any two distinct elements has an even number of distinct prime factors
Oct
21
answered $\sum\limits_{n=0}^{\infty} \frac{1}{(2n+1)!}$ converges?
Oct
20
answered Solving $a^{x} = 10^{2x + 1}$
Oct
20
answered Why does this process, when iterated, tend towards a certain number? (the golden ratio?)
Oct
19
answered How do we solve $a \le b^{r}-r$ for $r$?
Oct
19
answered Limit of Nested Radical $\sqrt{1 + 2 \sqrt{1+3 \sqrt{1+ \cdots }}}$
Oct
19
answered Number of cut sets and the length of the shortest path?
Oct
19
answered Finding all solutions to a Diophantine equation involving partial sums of a given series
Oct
18
answered Median of distinct numbers
Oct
18
answered Is it possible to get arbitrarily near any acute angle with Pythagorean triangles?
Oct
18
answered Reduction from Hamiltonian cycle to Hamiltonian path
Oct
18
answered Radius of Convergence of a given Power series
Oct
18
answered determining orthonormal matrix of rank N with special first row
Oct
17
answered Prove that for any integer $a > 1$ s.t. $\gcd(a, 23) = 1$, $23$ divides $a^{154} - 1$.
Oct
17
answered Prove that the sequence$ c_1 = 1$, $c_{n+1} = 4/(1 + 5c_n) $ , $ n \geq 1$ is convergent and find its limit
Oct
16
answered system of equations
Oct
16
answered Finding an angle within an 80-80-20 isosceles triangle
Oct
16
answered Proving $1-\exp(-4x^2/ \pi) \ge \text{erf}(x)^2$