Questions tagged [mathematica]
A powerful mathematical programming software with high level symbolic manipulation capacity.
53
questions
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0
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Mathematica Package for validating effective string theory solution
I am asking for Mathematica package that given an input of:
symmetric matrix $G_{\mu\nu}$, antisymmetric matrix $B_{\mu\nu}$ and a scalar function $\Phi$
will check whether it is a solution to the one-...
0
votes
0
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30
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Covariant Euler-Lagrange Computation - Mathematica
Does anybody know of a software (or software package) that can solve the Euler-Lagrange equations for a manifestly-covariant field Lagrangian density? Mathematica has a "Variational Methods" ...
1
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1
answer
56
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Is there a number base where pi is a rational number? [closed]
For example, 0.10 (decimal) is a rational number in base 10 but is irrational (a repeating fraction) in binary (base 2). Is there a number base where PI (3.14159... decimal) is a rational number. That ...
-2
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1
answer
137
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Question re Maxima, Magma and/or Sage computational language capabilities
I was in touch with Mathematica development team and they indicated that currently Mathematica is not capable to determine whether
$$ Sum[Binomial[n - 1, n - i] Sum[Binomial[k + i, i] Binomial[n - 1, ...
2
votes
0
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111
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Conceptual doubt regarding 2D conjugate heat transfer modelling (COMSOL and Mathemtica)
I have been dealing with some conceptual flaws in my understanding of modelling, which I will elaborate herein. I am modelling conjugate heat transfer of a reciprocating fluid, which flows with ...
1
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2
answers
126
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Calculate the derivative of the finite-difference method result
I have a nonlinear boundary ODE,
$$y'' + 3 y y' = 0, \qquad y(0) = 0, y(2)=1 $$
I want to solve this using the finite-difference method. I obtained the result for the data set of $y(x)$ (including the ...
3
votes
1
answer
112
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Wrong Boundary Conditions Result Using Wavelet Collocation
I have a functional $S$,
$$S = \int_{x_0}^{x_b} dx \frac{1}{z(x)^d} \sqrt{1 + \frac{z'(x)^2}{f(z)}}, \qquad f(z) = 1-\left(\frac{z(x)}{z_h}\right)^{d+1}
$$
where $d=3$ is the dimension and $z_h$ is ...
0
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1
answer
133
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How to remove singularities/discontinuities on 3D plots in Matlab?
I want to plot some functions f(x,y) including singularities.
For example;
f(x,y)=tan(x-y)
In Matlab, when I run the following code
...
1
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0
answers
88
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What is the limit involving `Sum`, `Subsets`, and `RankedMax` as `t` approaches infinity?
Motivation
Suppose we have a countably infinite $A$ with order and group structures and suppose $F_1,F_2,\cdot\cdot\cdot$ are an infinite sequence of finite sets (denoted $\left\{F_n\right\}_{n=1}^{\...
9
votes
1
answer
245
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Is there a way we can compute my sum involving `subsets` more efficiently?
Suppose we have a countably infinite $A$ and $F_1,F_2,\cdot\cdot\cdot$ are an infinite sequence of finite sets (denoted $\left\{F_n\right\}_{n=1}^{\infty}$) such that $\bigcup\limits_{n=1}^{\infty}F_n=...
-1
votes
1
answer
85
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Apply method of manufactured solution into fractional order compartment model
I am trying to solve a fractional-order 2-compartment model using the method of manufactured solution (MMS). I do understand the concept of MMS, but I am not sure how to come with a Mathematica code ...
2
votes
0
answers
110
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Does the time-dependent 1D advection-diffusion with point sources have an analytical solution?
I am looking for the analytical solution of 1-dimensional advection-diffusion equation with several point sources, Q, along the axial length of a cylinder through which the fluid flow occurs. Neumann ...
0
votes
1
answer
184
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Problems with the time-dependent Schrödinger equation solutions
I have this Mathematica problem that solves numerically the time-dependent Schrödinger equation in a box:
...
0
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1
answer
86
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Software to find zero divisors of a ring
Are there some programs with packages that help to list all zero-divisors of the ring we desired? especially for the ring of Gaussian integers modulo $n$, $\mathbb{z}_n[i]$.
Also want to find which of ...
0
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2
answers
220
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How can I learn Scientific Python?
I am an intermediate user of Matlab and Mathematica, but I would really love to start learning Python language for scientific purposes (I am interested in Maths and Physics).
Could please someone ...