Questions tagged [symbolic]
For questions about symbolic computation, as opposed to numerical computations.
1,664 questions
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How to express Meijer G-function into a form involving well-known functions?
I'm working on MAT 14.3, I am attempting to evaluate the integral int[n] for n=0,1,2,3 in symbolic form :
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- 1,036
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Is it possible to find eigenvectors of matrix $f(1)$ in the given code analytically in terms of the variable $y$?
I have this differential matrix equation f'[x] == {{2 x, y + 5 I}, {-3 I + 2 y, Sin[3 x] - 5 y}}.f[x] for f[x] with the initial ...
- 1,169
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Using symbolic expression in Compile
I found a Mathematica notebook on the internet, which calculates the inverse kinematics of a 6DoF robot.
link to the notebook
In one part of the code it gives a symbolic expression using the Solve[] ...
- 11
4
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142
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How to implement a 2x2 operator in Mathematica?
I am trying to write a Mathematica program to compute the following:
For a given Hermitian matrix $\rho$, the operator $L_\theta$ with respect to a parameter $\theta$ is defined as:
\begin{equation}
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- 765
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Symbolically solving a set of three-variable nonlinear equations fails to get a simplified result
I want to use Solve to find symbolic solutions of the following set of equations and get simplified or factorised symbolic solutions. The equations are
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6
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Pure functions from pure functions
I study the behavior of spatial curves and it is very convenient to write curvature and torsion as pure functions (PF).
It is often necessary to obtain their combinations, integrals and differentiates ...
- 2,580
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455
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How to make DSolve obtain this solution to this IVP first order ODE?
V 14.3 can not solve this IVP(Initial value problem) first order ode from textbook
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- 156k
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Solve symbolically for $u$ from $\sum_{i=1}^{n}\big(u\,x_i + y_i\big) = 0$
Trying Wolfram 14.3. It was with great surprise I saw the engine cannot symbolically handle Sum with a symbolic upper limit. I’m copying here the response I got ...
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How to improve the symbolic computation speed for plane geometry with multiple constraint conditions？
This is the simple geometry problem I want to solve:
In triangle ABC with side lengths a, b, c respectively, there is a point D on side AB, where AD = d. Find the length of CD.
When solving this ...
- 345
4
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2
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301
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Conflicting results for the two forms of the same integral
(Edited to emphasize the point about assumptions).
Consider a simple integral:
Integrate[Exp[I x/2], {x, 0, 2 Pi}]
Mathematica produces the following answer: ...
- 43
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Is there a built-in function or custom function that can perform symbolic solving under `GeometricScene` constraints？
In the new version of Mathematica, there is a new function called GeometricSolveValues that can solve for unknown geometric quantities in a geometric scene with ...
- 345
5
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Linear system of matrices
I don't know Mathematica very well, I have an equation involving matrices of the following form:
given two $5\times5$ matrices $A,B$ where $B$ is nilpotent we want to find a matrix $X$ such that
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4
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501
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Wave equation via Laplace transform
Solve, via Laplace transforms
\begin{align}
w_{tt}&=w_{xx}\\
w(0,t)&=g(t), \lim_{x \rightarrow \infty}w(x,t)=0, \: x,t\geq 0\\
w(x,0)&=0=w_t(x,0)
\end{align}
where $w$ is the ...
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237
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Symbolically solve IVP of one-dimensional inviscid Burgers' equation
I am currently trying to solve the inviscid Burgers' equation given as
$\frac{\partial y(R,\lambda)}{\partial \lambda}-y(R,\lambda)\frac{\partial y(R,\lambda)}{\partial R}=0$ subject to the initial ...
- 33
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Define a constant from a sequence of lower bounds and upper bounds
The thing I want to do seems very fundamental when you're in the mathematical forest of constants, I'm surprised it hasn't been asked yet.
I want to define a constant that is not directly definable by ...
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