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Tintarn
  • Member for 7 years, 6 months
  • Last seen more than a week ago
15 votes
Accepted

How is this property of real numbers proven?

12 votes
Accepted

Methods of finding the difference to the nearest integer?

11 votes

Is it possible to describe the Collatz function in one formula?

7 votes

Proving a Fibonacci identity: $F_{2n} = F_n (F_{n+1} + F_{n-1})$

6 votes

Is it right to say that if two vectors, $A$ and $B$, have same $L^p$ norms, for all $p$, then $A = B$?

6 votes
Accepted

pascal's triangle sum of nth diagonal row

6 votes

Function calculation

6 votes
Accepted

Solving the infinite series $1-\frac{2^3}{1!}+\frac{3^3}{2!}-\frac{4^3}{3!}+\cdots$

5 votes
Accepted

Solving logarithmic equations

5 votes

how can we show $\frac{\pi^2}{8} = 1 + \frac1{3^2} +\frac1{5^2} + \frac1{7^2} + …$?

5 votes
Accepted

CDF for Negative Binomial Distribution

5 votes

Prove $P(A∩B)≤1/2[P(A)+P(B)]$

4 votes

How to prove this inequality

4 votes
Accepted

Value of $1+4\omega+9\omega^{2}+\cdot\cdot\cdot +n ^{2}\omega^{n-1}$

4 votes
Accepted

How to calculate the this limit: $\lim _{ n\rightarrow \infty }{ \prod _{ i=1 }^{ n }{ \frac { 2i-1 }{ 2i } } } $?

4 votes
Accepted

How to prove $\frac{1}{v}-\sum_{n=0}^{\infty}\frac{1}{(v+n)^2}<0$

4 votes

$2\sqrt n-2<1+\frac{1}{\sqrt2}+\frac{1}{\sqrt3}+....+\frac{1}{\sqrt n}<2\sqrt n-1$

4 votes
Accepted

Unique Solution to a System of Equivalences

4 votes

Prove $\lim\limits_{n\to\infty}\sqrt{2+\sqrt{2+...+\sqrt{2}}}=2$

4 votes

generating functions closed form

4 votes
Accepted

Find the cube roots of $-11-2i$.

4 votes

Prove $\sum_{k=m}^n {k \choose m} = {n+1 \choose m+1}$

4 votes

Primitive of $\int { \frac { x^{ 2 } }{ (x\sin x+\cos x)^{ 2 } } dx } $

4 votes
Accepted

How to solve $f\left(\frac{f(x)}{yf(x)+1}\right)=\frac{x}{xf(y)+1}$?

4 votes
Accepted

$\lim_{n\rightarrow\infty} H_n-H_{\frac{n}{2}}$

3 votes

How to solve $\frac{f^{-1}(x)f(x)}{x}=\frac{f^{-1}(x)+f(x)}{2}$?

3 votes

If $a^{n}-1$ is divisible by $n$, then $a+1,a^2+2, \ldots a^n+n$ leave different remainders when divided by $n$

3 votes
Accepted

Proof related to quadratic equation

3 votes

Summing n times binomial(n,k)

3 votes
Accepted

Proving a result about a triangle, one of its altitude and its circumcircle using complex numbers