1

**Chapter 6 / Re: Laplace Equation Section 6.4**

« **on:**March 21, 2020, 09:55:28 AM »

It means that $\Theta $ is $2\pi$-periodic.

This section allows you to view all posts made by this member. Note that you can only see posts made in areas you currently have access to.

1

It means that $\Theta $ is $2\pi$-periodic.

3

Then you need to explain more or less rigorously, what is $\delta$-distribution and how Fourier transform is defined for it. Yes, online textbook covers this topic and much more than your physics class but in more advanced chapters, we do not cover

5

You seem to have a different texbook than posted

6

The error was done before. Now it fixed. Thanks

7

Pst problem or provide a link to it

8

Sometimes, for some functions there are shortcuts, but generally not

9

Fixed. Thanks!

10

Please correct what you typed

11

Your answer is correct ($-\pi i$).

If you see discrepancies, report them

If you see discrepancies, report them

12

Yes, wrong sign in the middle (should be $\drac{1}{2i}=-\dfrac{i}{2}$) but the final result is correct

13

Since $u$ is defined for $x<0$ and for $x>0$, you calculate limits from the left ($u|_{x=-0}$) and from the right ($u|_{x=+0}$). This is a standard notation

14

In the tsecond/third lines should be $dt$, ..., not $\partial t$,...

15

You cannot use LH out of the box for complex variables. You need to consider $z=re^{i\theta}$ and consider $\bigl|\dfrac{\operatorname{Log}(z)}{z}\bigr|$ ...