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Jun
23
awarded  Nice Question
Feb
17
asked Calculus over integers for derivative/integral of factorial?
Feb
15
asked How to solve a non-linear matrix equation over integer numbers?
Feb
13
comment What does it mean to represent a number in term of a $2\times2$ matrix?
This can be even be done for en.wikipedia.org/wiki/Split-complex_number, see math.stackexchange.com/questions/3510/…
Feb
12
asked Can my wrong derivation of the Gamma function be fixed?
Feb
11
accepted Why is the imaginary part of the logarithm of the gamma function a square wave?
Feb
11
comment Why is the imaginary part of the logarithm of the gamma function a square wave?
You are right. The definition of the logarithm for negative values in Mathematica is simply $Im(\log(x))=\pi$ for $x<0$ and $0$ for $x>0$$, see also wolframalpha.com/input/?i=plot+log%5Bx%5D+x%2C+-10%2C+10 . I simply didn't expect such a step in the definition of the logarithm.
Feb
9
comment Why is the imaginary part of the logarithm of the gamma function a square wave?
Ok, the gamma function has poles. This explains maybe the period of the square wave. But why is the imaginary part of the logarithm of the Gamma function a constant (0 or $\pi$) between the poles so that one sees a square wave?
Feb
9
asked Why is the imaginary part of the logarithm of the gamma function a square wave?
Feb
5
awarded  Commentator
Feb
5
comment What's the connection between the Laplace transform and the Fourier transform?
It seems the Laplace transform given by the LCT is the bilateral Laplace transform or two-sided Laplace transform (en.wikipedia.org/wiki/Two-sided_Laplace_transform).
Feb
4
answered What's the connection between the Laplace transform and the Fourier transform?
Jan
28
accepted Are dual numbers a special case of grassmann numbers?
Jan
26
asked Are dual numbers a special case of grassmann numbers?
Jan
26
comment Relationship between Levi-Civita symbol and Grassmann numbers?
Wouldn't it then be much less confusing to call these $\theta_i$s "Grassmann vectors" instead of "Grassmann numbers"?
Jan
24
comment Relationship between Levi-Civita symbol and Grassmann numbers?
Ok. But then isn't the product $\theta_i\theta_j$ a tensor (more precisely a pseudotensor, since it anticommutes)?
Jan
24
comment Relationship between Levi-Civita symbol and Grassmann numbers?
Do I get this right: The notation of a Grassmann number like $\theta_i$ does not imply that $\theta$ is a vector with $i$ components. Instead $\theta_i$ is a scalar number like e.g. the imaginary number $i$, correct? So the product of two Grassmann numbers $\theta_i\theta_j$ is not an outer product of two vectors, but just a product of two scalars.
Jan
17
revised Relationship between Levi-Civita symbol and Grassmann numbers?
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Jan
17
asked Relationship between Levi-Civita symbol and Grassmann numbers?
Jan
15
awarded  Popular Question