Aryabhata
Reputation
60,384
412/400 score
 Jul 12 answered Lights Out Variant: Flipping the whole row and column. May 19 answered Prove that $(1+1/x)^x$ is concave for $x>0$ May 17 answered Identity with Bernoulli numbers: $\sum\limits_{k=1}^{n}k^p=\frac{1}{p+1}\sum\limits_{j=0}^{p}\binom{p+1}{j}B_j n^{p+1-j}$ May 17 answered Using the hypothesis $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}$ to prove something else May 16 answered area of triangle May 9 answered a system of equation May 8 answered Evaluate $\int \frac {\operatorname d\!x} {2x \sqrt{1-x}\sqrt{2-x + \sqrt{1-x}}}$ May 5 answered Prove $\left(\dfrac{2}{5}\right)^{\frac{2}{5}}<\ln{2}$ May 3 answered Find all functions $f$ that assign a real number $f(x)$ to every real number $x$ . . . May 3 answered Solve $\sin(x)+2\sin(x)\cos(x)=\pi/4$ May 2 answered Is $u_n\le(1-a)^n\forall n\in\mathbb{N}$? May 2 answered If $p$ be a prime and r be any integer, $0 < r < p$ then $\frac{(p-1)!}{r!(p-r)!}$ is an integer. May 1 answered Asymptotic Approximation and Sign Convention May 1 answered Limit of $\frac{\log(n!)}{n\log(n)}$ as $n\to\infty$. May 1 answered Sequence convergence of positive numbers Apr 27 answered Convergent or Divergent? $\sum_{n=1}^\infty\bigl(2^{\frac1{n}}-1\bigr)$ Apr 24 answered An identity involving Stirling numbers of the second kind and binomial coefficients Apr 21 answered A question on a proof of $y(y+1) \le (x+1)^2 \implies y(y-1) \le x^2$ Apr 20 answered How many injective functions $f:[1,…,m]\to{[1,…,n]}$ has no fixed point? $(m\le n)$ Apr 20 answered Suppose that $f$ is continuous on $\mathbb{R}$ and $\int_{x-1}^{x}f(t)\,dt=x^{2}$. Find $f(x)$.