Questions tagged [mathematica]
For questions concerning the popular computational software program published by Wolfram Research. (Note: you are more likely to get quicker and more accurate response if you ask the question on their user forum or on the Mathematica Stack Exchange site.)
722
questions
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35
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Need help in implementing q-SeriesToq-Product in Mathematica
In Mathematica Guidebook for symbolic computations (https://www.amazon.com/dp/0387950206/wolframresearch-20), in the Exercises, 30 (c)(p. 359), there is a question:
I have no clue how to implement ...
- 21
0
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0
answers
41
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A question regarding asymptotics in mathematica
I am trying to see the asymptotics of the Var function as below, from the plot it seems it goes to $-\infty$, however, I also calculate its asymptotics which gives me a positive $+\infty$.. Why could ...
- 1,052
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0
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49
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Mathematica PDE solving
I'm new to Mathematica and have never solved a PDE before. I tried to follow a textbook to get equation 4, but got something different with Mathematica (I got $(4\pi Dt)^{1/2}$ instead of $(4\pi Dt)^{...
- 169
0
votes
0
answers
32
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Checking Positivity
enter image description here
I am trying to check positivity of an algebraic expressions where all the variables are positive. Using Mathematica 9.1 version I have got the result showed as follows. ...
- 11
2
votes
1
answer
111
views
Asymptotic analysis for integrals
I am a physics student doing some integrals of the form
$$\lim_{\rho\to\infty} \int dx \int dy \text{ }f(x,y) e^{-\rho (x y)^{3/2}}$$ with $x,y \geq 0$, and $f(x,y)$ is a polynomial ($a_0+a_{x1} x + ...
- 23
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0
answers
29
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Weighted sum of specific multinomial coefficients
Let $A$ and $b$ be nonnegative integers and consider the sums
$$\sum\limits_{c=0}^{b/2}\frac{1}{4^c}\binom{A}{c,b-2c,A-b+c}$$
and
$$\sum\limits_{c=0}^{b/2}\frac{c}{4^c}\binom{A}{c,b-2c,A-b+c}.$$
I ...
- 1,147
1
vote
1
answer
64
views
Algorithm and program for modelling a Free Nilpotent Lie algeabra
I need to compute in a Free Nilpotent Lie Algebra $L$ given by a finite list of generators. For example, put the generators $\{A, B\}$. So, the linear generators for the space of $L$ is
$$\{A, B, [A,B]...
- 21
1
vote
0
answers
42
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How to define a linear operator in Maple that commutes with derivatives?
I would like to simplify an expression involving the Hilbert transform in Maple. The Hilbert transform is defined by $$ Hf(x) = \frac{1}{\pi} \ \mathrm{p.v.} \int_{-\infty}^{+\infty} \frac{f(z)}{z-x} \...
- 11
-4
votes
1
answer
68
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Can you help me to solve this PDE? [closed]
Could you please help me to solve the following equation?
\begin{equation}
u_{yyyy}+u_{xy}-a\,\left(u\,u_y\right)_y\,=\,0
\end{equation}
Where
\begin{equation}
u\,=\phi^{\alpha} \sum_{k\,=\,0}^{\...
- 1
1
vote
0
answers
93
views
The inertia degree of a field over the decomposition field
$K/F$ is a Galois extension of algebraic number field, $\mathfrak{p}_{i}$ are prime ideals of $K$, and $\mathfrak{p}= \mathfrak{p}_{1}$.
Decompose a prime ideal $\mathcal{p}$ of $F$ in $K$.
$$p(=po_K)=...
- 94
1
vote
0
answers
41
views
regularized incomplete beta function integration
Solve $\int_{0}^{1}\frac{I_{u^{\frac{1}{p}}}\left ( p+\frac{1}{a} ,1-\frac{1}{a}\right )}{u}du$ . In Mathematica, this integral does not converge but from an article, I got the answer to this integral ...
1
vote
1
answer
81
views
Finding the eigenvectors for a $2\times 2$ matrix
Some lecture notes I’m reading present the following matrix:
\begin{equation*}
L =
\begin{pmatrix}
0 & a \\
b & c\\
\end{pmatrix}
\end{equation*}
It then says that the dominant eigenvalue $ \...
- 163
-1
votes
1
answer
62
views
minimal polynomial of a complex number in Mathematica [closed]
How do I calculate the minimal polynomial of $a+ \mathcal{i} b$ where $a,b \in \mathcal{R}$ in Mathematica. In Mathematica, if I give specific values of a and b, then it gives the solution, for ...
- 73
1
vote
1
answer
314
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Difference in differentiation between Mathematica and Wolfram Alpha
I am trying to differentiate this:
$$f(x)=e^{-x^2}$$
In Wolfram Alpha I get this:
$$-2x\,e^{-x^2}$$
But in Mathematica I get:
$$-2x\,e^{-x^2}\log(e)$$
Why the difference?
- 341
2
votes
1
answer
131
views
Why does CubeRoot and power of 1/3 give different answers in Mathematica?
I have these 2 functions, which should give identical answers:
GPrime[x_] := (1/CubeRoot[x]) + 1
GPrime2[x_] := (1/(x^(1/3))) + 1
However, given this:
...
- 341