Questions about using complex numbers in Mathematica. This includes basic arithmetic, functions of complex numbers, plotting complex functions, and dealing with branch cuts.
8
votes
0answers
100 views
7
votes
0answers
277 views
Dual complex integral over implicit path using contour plot
Context
I am interested in doing double contour integral over paths which are defined implicitely.
For the sake of debugging, let's assume its
$$\oint_{\cal C}\oint_{\cal C} \frac{1}{u\, x} d u d x$$ ...
2
votes
0answers
77 views
How to make the imaginary part of a +0. I zero globally?
Values like a +0. I are really annoying. Answers from
How to reduce expressions with complex coefficients in the form of a+0.*I？
Is there a way to globally set when to treat a very small number as ...
2
votes
0answers
282 views
Simple contour integral with a parameter gone wrong
I run into the following problem, I tried to evaluate a very simple integral:
Assuming[ a > 0 , Integrate[Sin[a*s]/(s - I)^2, {s, -Infinity, Infinity}]]
...
1
vote
0answers
70 views
ComplexExpand absolute squared
ComplexExpand[Abs[a + b I]]
Gives
$\sqrt{a^2 + b^2 }$
ComplexExpand[Abs[a + b I]^2]
On the other hand gives
Abs[a ...
0
votes
0answers
76 views
Solve equations real and imaginary part separately
For my system of equations, the procedure described in Solving complex equations of using Reduce works no more. How can I separate the real and imaginary part of ...
