5
votes
Accepted
How to simplify expressions with complex exponents?
Alternative way (how we would do it by "hand")
...
- 135k
3
votes
How to simplify expressions with complex exponents?
Try this:
expr /. -E^(-I k)*Sqrt[a_] -> -Sqrt[a*E^(-2 I k)] //
ExpToTrig // Simplify
(* -Sqrt[k1^2 + k2^2 + 2 k1 k2 Cos[k]] *)
Have fun!
- 38.4k
3
votes
Accepted
Numerical integration over Re[expr] still has $0 i$ in the result
Overview
The problem arises in the compiled function created for some sort of singularity processing that NIntegrate[] decided was necessary.
Is it a bug? Ask WRI....
- 233k
2
votes
Solve an equation involving Exp over the complexes
NSolve does the job by
NSolve[E^(4 - 2 x - 2 E^(2 - 2 x) x) x - x == 0 && Abs[x] <= 10, x, Complexes];Dimensions[%]
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- 23.2k
2
votes
How to plot a 3D-subspace of a $\mathbb{C}^2$ curve?
Using the method in Plotting implicitly-defined space curves
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- 233k
1
vote
What is the status of ComplexAnalysis`BranchPoints and ComplexAnalysis`BranchCuts?
I think those commands leave much to be desired at the present. For example,
ComplexAnalysis`BranchPoints[Sqrt[z^(9/2) - 1], z]
...
- 23.2k
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