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Oct
18
reviewed Close a complicated Sum
Oct
18
reviewed Close Concisely returning a position in an array with an index variable
Oct
18
comment How to tell Eigensystem the type of the elements comprising a matrix I would like to diagonalize
It's not clear to me what you mean. Are you trying to find a symbolic solution first by using assumptions, or do you want to define a function that takes a numerical argument and returns the Eigensystem, or is M already numerical but written in terms of arbitrary-precision numbers, or something else? Please include a minimum example to clarify what you're trying to do.
Oct
18
reviewed No Action Needed Equivalent of RadialOutside for Graph VertexLabels
Oct
18
reviewed Close Numerical solution to two non-linear coupled differential equations
Oct
16
comment Simplifying general solutions of differential equations (driven harmonic oscillator)
I really think the _C approach is unbeatable, so this should be the accepted answer. So I'll just leave it up to you if you want to mention Apart.
Oct
16
comment Simplifying general solutions of differential equations (driven harmonic oscillator)
The result of collecting over m is smaller, but not very systematic because m is a variable that could easily be eliminated from the entire problem. A more systematic way of getting that same result seems to be Simplify /@ Apart@Simplify[sol]. Here I use the fact that Map can also work on expressions that don't have head List - which is also something the OP could have used to avoid converting to List initially. But I think what the physicist expects is really the result of collecting over _C...
Oct
15
comment Simplifying general solutions of differential equations (driven harmonic oscillator)
This is a nice and general method for linear differential equations because the C[i] will always be multiplicative in front of the homogeneous solutions, so collecting them is the natural choice (+1).
Oct
14
comment 2D Fourier transform of a few (4) disjoint discs on a plane
@DumpsterDoofus I see, that's an interesting effect. I was using version 8 so I couldn't see that directly at the time.
Oct
14
comment 2D Fourier transform of a few (4) disjoint discs on a plane
@DumpsterDoofus (+1) In case anyone wants to reproduce the plot in a Mathematica version that doesn't have TensorProduct yet, it's also possible to just do the monochrome image first and then wrap it in Colorize[%, ColorFunction -> (Blend[{Black, RGBColor[1.0, 0.3, 0.1]}, #] &)].
Oct
13
comment How can I create a plot like this in mathematica?
There's also BoxWhiskerChart
Oct
13
awarded  Enlightened
Oct
13
awarded  Nice Answer
Oct
12
comment How to create a reliable natural integral operator?
I voted to close as a duplicate originally, but it may be better to close because it's unclear what the question is asking. "Natural integral" is not a thing.
Oct
12
reviewed Close Analog of GeneratingFunction for Newton series
Oct
12
comment How to create a reliable natural integral operator?
My point is simply this: Integrate takes your integrand and finds, if necessary, an appropriate transformation that allows the integral to be calculated. That may involve any number of transformations, among them potentially series (such as that on which your question relies). But it's important to realize that the choice of appropriate transformation is limited by the type of integrand, and there is no one transformation that could be used as a definition of natural for all integrands. In that sense, Integrate already finds a reasonably natural result.
Oct
12
comment How to create a reliable natural integral operator?
If a definition of a natural integral involves so many case distinctions, as in your question, then it is almost "by definition" not a natural definition. So in cases where the most general of your attempts doesn't work, you should just ask: why not simply use Integrate? By the way you forgot an $i$ on the right of the first equation.
Oct
12
comment How to create a reliable natural integral operator?
It should be mentioned that this question is based on an earlier question (and my answer to it). To explain what exactly makes this question different from that one, it would be good to show what Mathematica code you have already tried, and what your expected input and output looks like in some examples.
Oct
12
comment Calculate inertia tensors
Maybe of interest: I used the inertia tensor to identify symmetries of an object in an image in this answer.
Oct
12
revised Boundary condition for stochastic differential equation
Ambiguous acronym in title expanded