# Questions tagged [symbolic-computation]

Numeric computation usually uses floating point numbers. Symbolic computations use symbols, and can give exact answers, such as $\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}$. Mathematica, Maple, and Geometry Expressions all use symbolic computation, when desired. An online source is WolframAlpha.

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### Software for symbolic matrix operations

Is there a software for symbolic manipulation that can treat matrices as whole variables? For instance: solve A = B + C * A for A where ...
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### How to derive symbolic equations of a polynomial function fitting 3 points in 3d space?

Let's say I have three points in 3D space and I would like to fit a quadratic polynomial through these points. $P_{1} = (10,2,3), P_{2} = (15,6,8)$ and $P_{3} = (22,1,12)$ I know that it is possible ...
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### Derivative of complex quadratic form-functions with respect to a vector

I have a quadratic form like this: $Q_1=v_1^TC_1(x)v_1$ $Q_2=v_2^TC_2(y)v_2$ where $x,y,z$ - $3 \times 1$-vectors $J_1,J_2,C_1,C_2$ - $3 \times 3$-matrix $v_1=x-(J_1(x)y-z),v_2=x-(J_2(y)y-z)$ ...
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### Finding the symbolic expression for a particular matrix raised to the $n^{\text{th}}$ power

Consider the following matrix, with $a$ being a real number between $0$ and $1$. \begin{equation} \text{M}=\left[ \begin{array}{cc} 1-\frac{a^2}{3} & \frac{1}{3} \left(2 a-a^2\right) \\ \frac{2 ...
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### sympy: group given expressions within other expressions, e.g. $a + 2 x y + b x + 2 x z$

I would like to use sympy to locate and group instances of a given symbolic expression within a set of expressions, so that the given expression may be replaced by a variable. For instance, with ...
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### How to find solve for second order pde with initial conditions using Wolfram Mathematica?

I have next task: $$\frac{\partial^2 u}{\partial x \partial y} = 0,~ u(x,x^2) = 0,~ \frac{\partial u}{\partial x}(x, x^2) = \sqrt{|x|},~|x| < 1$$ I write this, but it don't work: ...
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### What is parametric equation of a cylinder with an arbitrary norm in Cartesian system?

I just need to intersect a plane and a cylinder for an industry application and latter we would fit the intersection curve on to some sample data we have and that supposed to provide us with some ...
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### Pull t out of trig functions and solve it

I'm trying to come up with an analytical solution for inverse kinematics for my robot; but some of my trig has left my brain! The robot is very simple; with one rotary and one prismatic joint. I'm ...
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### Symbolic sum similar to Zeta function or harmonic number

(I have no idea why this was closed, nor did I receive any information/email regarding what details or clarity were missing. I have rendered the Mathematica into mathematics.) copied from mathematica....
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### How do I extend SymPy pretty printing for new structures in Jupyter notebook?

Note 1: I am asking this on Math Stack Exchange rather than Stack Overflow, where most SymPy questions are, because StackOverflow doesn't have MathJax, making it very difficult to pose the question. ...
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### Construction of the Steinhaus probability space

Q: Please let me know if the following sketch of the build-up of the Steinhaus probability space $(\Omega,{\cal A},P) = ((0,1), {\cal B}((0,1)), \lambda\vert_{[0,1]})$ is correct, as far as it goes: ...
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