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Behnam Esmayli
  • Member for 6 years, 9 months
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17 votes

If $f$ is holder continuous for $\alpha >1$ then $f$ is constant.

8 votes

How do I show that all continuous periodic functions are bounded and uniform continuous?

8 votes

How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?

7 votes

How do we know the ratio between circumference and diameter is the same for all circles?

7 votes
Accepted

Evaluation of $\cos\left(\frac{\pi}{2n}\right)\cdot \cos\left(\frac{2\pi}{2n} \right)....\cos\left(\frac{(n-1)\pi}{2n}\right)$

6 votes
Accepted

Prove that the product of two Lipschitz functions is locally Lipschitz.

6 votes

find $\lim\limits_{n \rightarrow \infty }(n+1)\int\limits_{0}^{1} x^n f(x)$

6 votes
Accepted

Fractal dimensional analysis?

5 votes

Why is uniqueness important for PDEs?

4 votes

Show that $(L^{p},\|\|_{p})$ is a Banach space.

4 votes
Accepted

Extreme value theorem using continuous image of compact is compact + Heine Borel

4 votes
Accepted

Why are second order linear PDEs classified as either elliptic, hyperbolic or parabolic?

4 votes
Accepted

Show that for any $w \in \mathbb{C}$ there exists a sequence $z_n$ s.t. $f(z_n) \rightarrow w$

4 votes

Topologist's sine curve is not path-connected

3 votes

Hausdorff dimension of Cantor set

3 votes

Every finite subset of a non-empty totally ordered set has both upper and lower bounds

3 votes

Is $\sin(\alpha)=\frac{\tan(\alpha)}{\sqrt{1+\tan^2(\alpha)}}$ a true statment?

3 votes

Integrating over an embedded manifold: Jacobian factor?

3 votes

Fixed point theorem on spheres

3 votes
Accepted

Cone over a topological space: building it.

3 votes

If $(X,d)$ topological space and $f,g:X\to \Bbb{R}$ are continuous, then so is $f+g$

3 votes

Intuition help: why are Borel sets important?

3 votes
Accepted

How do fixed point arguments for PDE work?

3 votes
Accepted

There is no uncountable collection of pairwise disjoint open sets in $\mathbb R$

3 votes

Example:$f_n\rightarrow f$, $f$ is continuous but $f_n\nrightarrow f$ uniformly.

3 votes
Accepted

Prove that $|x^p - y^p| \le p|x-y|(x^{p-1} + y^{p-1})$ provided that $1 \le p \lt \infty$ and $x, y \ge 0$

3 votes

Best Algebraic Topology book/Alternative to Allen Hatcher free book?

2 votes

Find remainder when P(x) is divided by x²-3x+2

2 votes

Proof : cannot draw this figure without lifting the pen

2 votes

Evaluation of $\cos\left(\frac{\pi}{2n}\right)\cdot \cos\left(\frac{2\pi}{2n} \right)....\cos\left(\frac{(n-1)\pi}{2n}\right)$

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