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Vim
  • Member for 9 years, 7 months
  • Last seen this week
25 votes

Visually stunning math concepts which are easy to explain

18 votes

Show rigorously that the sum of integrals of $f$ and of its inverse is $bf(b)-af(a)$

14 votes
Accepted

Why $\lim_{x\to -\infty} \frac{x^3}{\sqrt{x^6+4}} =-1 $ and not $1$?

11 votes
Accepted

Evaluating limit (iterated sine function)

10 votes
Accepted

Find the exact values of m.

7 votes

How to prove $f$ is in the span of $f_{1,\cdots, n}$?

7 votes

Prove that $e^{x^2}\ge x^x$ for $x\ge0$

7 votes
Accepted

Find $\lim_\limits{x\to 0}{x\left[1\over x\right]}$. Am I correct?

6 votes
Accepted

Sign of determinant of a $3 \times 3$ matrix with entries $1+\alpha^{i+j-2}+\beta^{i+j-2}$, for distinct $\alpha,\beta\in\mathbb R\setminus\{1\}$

5 votes
Accepted

Given any non compact set $A \subset \mathbb R^n$ does there exist a continuous function $f: A \to \mathbb R$ which is not uniformly continuous?

5 votes

Show that every compact metrizable space has a countable basis

5 votes
Accepted

$t\mapsto\sin(tA)$ is continuous

5 votes

What is $\dfrac{dr}{d\theta}$?

5 votes

If $f(x)=\frac{1}{x^2+x+1}$, how to find $f^{(36)} (0)$?

5 votes
Accepted

Show that $f_n(x)$ converges uniformly.

4 votes
Accepted

Is covariance matrix Hermitian?

4 votes
Accepted

Does the mathematical meaning of "up to" relate to the ordinary English meanings?

4 votes
Accepted

Proving convergence in $L^p$

4 votes
Accepted

$\int f = \int g$ and $f\le g$ $\implies f=g$ a.e.

4 votes

Non-compact subsets of a metric space $(X,d)$.

4 votes

Find the maximum possible area of a right triangle?

4 votes

extreme point of a convex set is also a bounday point?

4 votes
Accepted

Why is the integral of $\int {1 \over {1+ \sqrt{x}}} dx$ not the same as for $\int{1 \over u}$?

4 votes

What does Pi equal to

4 votes
Accepted

Find smallest $n \in \mathbb{N}$ s.t $A^n=I$

4 votes
Accepted

Does $\int_0^\infty e^{-x}\sqrt{x}dx$ converge?

4 votes
Accepted

Locus of $xy=1$ is not path-connected

4 votes
Accepted

Domain Technicality

4 votes
Accepted

A lemma for proving Myers-Steenrod theorem

3 votes
Accepted

An injection between finite sets of equal size must be a bijection

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