Skip to main content
cool's user avatar
cool's user avatar
cool's user avatar
cool
  • Member for 10 years, 11 months
  • Last seen more than 3 years ago
  • Somewhere in Ukraine
8 votes
Accepted

Show that: $\lim\limits_{r\to\infty}\int\limits_{0}^{\pi/2}e^{-r\sin \theta}\text d\theta=0$

6 votes
Accepted

Why does the maximum/minimum of linear programming occurs at a vertex?

5 votes
Accepted

Burgers' equation $u_y + uu_x = 0$ with $u(x,0)=-x$

4 votes

Mean value theorem for Lebesgue integral: $\int_a^bf(t)dt=(b-a)f(c)$ for some $c$.

3 votes

Showing that $\exp(\sum_{n=1}^\infty a_nX^n)=\prod_{n=1}^\infty\exp(a_nX^n)$ for formal power series

2 votes
Accepted

Show that $f^{[n]}(0)=0$ for all $n=0,1,2...$

2 votes

Can these holomorhic functions $f:D(0,1)\to \mathbb{C}$ exist

2 votes
Accepted

What kind of convergence is $\sum |f_n|$?

2 votes

Inverse Fourier transform of $(1\pm\hat{f}(w))^{-1}$

2 votes

Harmonic function in the upper half plane

2 votes

Solving Ordinary Differential Equation: $\;(x^2+y^2) \, dx+3xy \, dy=0$

2 votes
Accepted

Contour integration of $\int \frac{dx} {(1+x^2)^{n+1}}$

2 votes

Explain this chain rule for differentiating $y=xe^{-kx}$

2 votes

Solution of a Dirichlet problem on the unit disk

2 votes

Limit of $\left(2-a^\frac{1}{x}\right)^x$

2 votes

convolution of Poisson kernel with itself

1 vote
Accepted

derivative of parameter integral in $\mathbb C$

1 vote
Accepted

Let $f \colon \Bbb C \to \Bbb C$ be a complex valued function given by $f(z)=u(x,y)+iv(x,y).$

1 vote

Applications of complex analysis?

1 vote

Finite-Element Method: Question on stability for equation $u_{t}+au_{xxx}=f$

1 vote

Show that $\int_\gamma \frac{f'(z)}{f(z)}=0$ for every closed curve $\gamma$ in $\Omega$

1 vote
Accepted

$n$th derivative of $f(x)^{n+1}$

1 vote

physical meaning of heat equation

1 vote

Integral of a product of functions divided by the integral of one of the two functions

1 vote

Help with Riemann integration

1 vote

Special function

1 vote
Accepted

Show that $\sum \frac{z^n}{n}$ diverges if $z = 1$ but otherwise converges if $|z|=1$.

1 vote
Accepted

Transforming ODEs into exact equations.

0 votes

Can use residue theorem for this integral

0 votes

Sequential Compactness: Show that there exists a number $\alpha$ and a sequence of positive integers $a_1, a_2, a_3,...$