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user1337
  • Member for 9 years, 3 months
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76 votes

How can I prove that $xy\leq x^2+y^2$?

28 votes
Accepted

Proof: $ \int^{\infty}_{-\infty}\delta(t)^2 dt = 1 ??$

19 votes
Accepted

Is $f(x)= \cos(e^x)$ uniformly continuous?

16 votes

Can there be a symbol for continuous product?

15 votes
Accepted

Show that there are $ a,b \geq 0 $ so that $ |f(x)| \leq ax+b, \forall x \geq 0.$

14 votes

Find the value of $\space\large i^{i^i}$?

13 votes

$\cos(\arcsin(x)) = \sqrt{1 - x^2}$. How?

12 votes

Theorem 6.20 rudin Integration

12 votes
Accepted

Difference between lim and lim sup?

12 votes
Accepted

Ahlfors "Prove the formula of Gauss"

11 votes
Accepted

Solving or approximating infinitely nested integral

10 votes
Accepted

Why is $x\log(x)$ convex?

10 votes

Prove that the equation $\tan (z)=z$ has only real roots.

10 votes
Accepted

If $u$ is harmonic and bounded in $0 < |z| < \rho$, show that the origin is a removable singularity

10 votes
Accepted

Sum of radicals greater than 1

10 votes
Accepted

Evaluate $\lim_{x \to 0} \frac{\sin(x³)}{x}$ without L'hopital rule

9 votes
Accepted

General case integral $\int^1_0 f(x) \, f'(1-x) \, dx $

9 votes

What is the value of the integral$\int_{0}^{+\infty} \frac{1-\cos t}{t} \, e^{-t} \, \mathrm{d}t$?

8 votes
Accepted

The set of zeros of a holomorphic function is finite in compact sets

8 votes

$e^z, \ \ z \in \mathbb{C}$ isn't invertible

8 votes

Proving that there is a perfect square between $n$ and $2n$

8 votes

Limit of $\frac{\sqrt{1-\cos x}}x$ using l'Hôpital

7 votes
Accepted

How to represent $\ln(5-x)$ as a power series?

7 votes

Is the $\lim_{x \to 0} \frac0x$ equal to zero?

7 votes

Non-ordinary differential equation?

7 votes
Accepted

if $f\left(x+y,\frac{y}{x}\right)= x^2-y^2$ then $f(x,y)=?$

7 votes

How to solve $a\cos^2(\theta) + b \sin^2(\theta) = 0$ for $\theta$

7 votes

What is this notation supposed to mean? $diag\{ A_1, A_2, \cdots, A_N \}$

6 votes
Accepted

$z= \frac{u-\overline{u}v}{1-v}$ is real is equivalent to $|v|=1$.

6 votes

Are all integers fractions?

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