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  • 29 votes cast
Jul
10
comment Version 10 of Mathematica in Windows XP
@dbanet maybe Mathematica needs some architecture extensions like SSE to work on your CPU which are absent?
Jun
12
awarded  Nice Question
May
7
comment How to implement symbolic Ramanujan's summation in Mathematica?
I think your method is not suitable for anything other the polynomials because in that case the sum becomes finite. Mathematica cannot find the infinite sums :-(.
May
7
comment How to implement symbolic Ramanujan's summation in Mathematica?
One can use the filliwing formula alternatively: $$\sum_{k=1}^{\infty}\frac{\Delta^{k-1}[f](1)}{k!}(-1)_k$$ where $$(x)_k=\frac{\Gamma(x+1)}{\Gamma(x-k+1)}$$ is the Porchhammer symbol (failing factorial). AFAIK it is implemented in Mathematica, otherwise one should employ limits because the both numerfator and denomenator have poles at the points.
May
7
comment How to implement symbolic Ramanujan's summation in Mathematica?
@xzczd this is correct, my comment is somewhat confusing. The ramanujan's sum of g(x)=1 is indeed -0.5. In the comment I meant that I want the Ramanujan's sum of the difference delta. I want a similar formula but giving symbolic results.
May
7
comment How to implement symbolic Ramanujan's summation in Mathematica?
@xzczd difference delta, f(x+1)-f(x).
May
7
awarded  Promoter
Apr
25
comment How to invert the default order of polynomial?
@Oleksandr R. maybe, actually! Need more look at it.
Apr
25
comment How to invert the default order of polynomial?
@kguler there can be many parameters (as many as the degree of the polynomia)l. It is easier to re-type all manually than list the parameters in this option.
Apr
25
comment How to invert the default order of polynomial?
@kguler traditional form does not fit here. After Traditional Form I cannot copy to Latex, for instance.
Apr
25
comment How to invert the default order of polynomial?
@m0nhawk sorry but I do not want other consequences of TraditionalForm here.
Apr
25
asked How to invert the default order of polynomial?
Apr
21
comment How to implement symbolic Ramanujan's summation in Mathematica?
Ramanujan's summation applies not only to power series, so Zeta regularization is not applicable in the majority of cases. One of the general formulas is $$-\sum_{n=1}^{\infty} \frac{ g^{(n-1)} (0)}{n!} B_n(1)$$ for $g(x)=\Delta [f(x)]$ but how to get it in closed form?
Apr
21
asked How to implement symbolic Ramanujan's summation in Mathematica?
Mar
28
comment How can I plot a graph of an integral?
I have tried before asking this question, it does not.
Mar
28
comment How can I plot a graph of an integral?
Why NIntegrate does not work inside plot?
Mar
28
accepted How can I plot a graph of an integral?
Mar
28
comment How can I plot a graph of an integral?
@k_v so how can I plot it?
Mar
28
comment How can I plot a graph of an integral?
@k_v I want to plot the indefinite integral of this function.
Mar
28
asked How can I plot a graph of an integral?