# Tagged Questions

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 ...

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### Are there symbolic methods/computing for stochastic processes and stochastic differential equations?

Are there symbolic methods/computing for stochastic processes and stochastic differential equations? Are there some research trends along these lines? Can this be perspective and fruitful endeavour ...
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### When to rationalize to repair continuity, and why does it work?

I was working on a question out a GRE math prep book: "Find the inverse of $f(x) = \frac{x}{1-x^2}$ that works for all $x \in \mathbb{R}$ where $f$ is defined over $(-1,1)$" (works meaning is well ...
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### Is there a mathematical symbol that tells you at which index the sign in the sum should change

Let's say I want to write the following sum in a more compact way $$a=z_1+z_2+\dots +z_{n/2}-z_{n/2+1}-z_{n/2+2}-\dots -z_{n}$$ Is there some kind of syntax to write that in a more compact way... ...
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### Is this correct math notation?

Is the following correct? $$x_{ap} = x_{ij} \quad \forall a,i \in [1,4]\ \forall p,j \in [1,5]$$ I want to write that $x_{ap}$ is equal to $x_{ij}$. And $i$ and $a$ can only be values between $1$ ...
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### How to express the following in mathematical symbols?

I have three types of measurements that will conditionally increment an X value given that the initial X value is zero. The three measurements are: E = e-value I = Percent Identity A = Alignment ...
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### Summations and vectors in symbolic matlab

I've got a few ugly equations to take gradients of and I'd love to get matlab to validate my work, but I'm having trouble because the equations are mixed with variable length vectors and some gnarly ...
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### Can I solve this integral with a squared sum in it?

Title says it all. By now I have tried by hand and I think that it is indeed solvable, but I can't handle the very long terms. I tried to run the thing through SAGEs integrator: ...
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### How to solve a bi-quadratic equation with symbolic coefficients?

I have the following equation with the symbolic coefficients specified using syms which i have been trying to solve in MATLAB:- ...
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### Implementing the incomplete gamma function under libmatheval

I am considering libmatheval for a task in C. The problem is I need the incomplete gamma function. 1) How hard is it to implement new functions in libmatheval? 2) Any instructions on how to? 3) ...
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### How to convert the parametric equation into implicit form?

This problem is generated from another Green's theorem related question of mine. The original equation of the plane curve is not in rational parametric form. In order to calculate the symbolic ...
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### Program to find Shortest Symbolic Expression

I was solving a physics problem using lots of replacements for some expressions to get a manageable equation. Finally I got my answer, but it looked more like a waterfall than an actual result : ...
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### Practical applications of computer algebra systems

(Sorry if this is not the correct place for the question) Are there practical applications of symbolic computation systems like Mathematica, Sage, Maxima and the like in software development? To ...
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### Can the following system be solved symbolically/analytically?

I have the following system of equations with variables $a,m$, and I'm wondering—can this system be solved symbolically/analytically? \begin{align} m &= 100 + \frac{ \left( 200 \frac{\ln{\frac{1}{...
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### Integrate gaussian times sqare root of x times polynomial of order 2

How does one evaluate integrals like: $$\int_0^\infty{\sqrt{x}\,\dfrac{\left(x-a\right)^2}{2\sigma^2}\,\exp{\left(-\dfrac{\left(x-\mu\right)^2}{2\sigma^2}\right)}}\;dx$$ There is a real and finite ...
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### How do you take divergence of this field?

I forgot how to do divergences 3 years ago, this one is very confusing. We used to take them with respect to $x,y,z$ but this one doesn't have them. Help me with this question Prove that $∇.E = 0$ ...
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### How to collect coefficients of the same powers?

I am using the Symbolic Math Toolbox, and define polynomials as symbolic objects, e.g.: syms a x y; P = x^2*y + a*x*y^2 + x*y^2; I am looking for a function that ...
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