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# Questions tagged [symbolic]

For questions about symbolic computation, as opposed to numerical computations.

146 questions with no upvoted or accepted answers
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### Is there a feasible computation?

I have to find the values of $p_1$ and $p_2$ which minimizes the expression $G$. However, when I took the partial differentiation of $G$ with respect to $p_1$ and $p_2$, the equations I obtained were ...
32 views

### Why can Mathematica detect a linear term in a series expansion only in special cases?

The series expansion Series[Sqrt[2 - 2 Cos[d k]], {k, 0, 5}] Is in odd powers of Abs[k], or more precisely ...
30 views

### Exact Solution to Maximum with constraint, no output

I am new to Mathematica. I am trying to solve a maximum problem with several constraints. Here is my input. ...
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### How to multiply the elements of each site of tensor products to each other while using symbolic representation?

If I have, say three sites in a symbolic operator which is of the form A = a⊗1⊗c and I want it to act on another operator B = a1⊗b⊗1 in order to find the commutator A.B - B....
107 views

### Need help with symbolic integration

I have f[x_] := g[x]/g'[x] FullSimplify[Integrate[f[x], x]] I'm trying to get F[x] in terms of ...
41 views

### Algebraic manipulation on removing common factor outside

d[i,j] and M[i,j] are elements of size arrays of size 2x2 After some manipulations I get this as Output ...
39 views

### Analytically integrating bivariate Gaussian PDF

I have this somewhat complicated expression in terms of the following 8 variables (note: actually, $X$ and $Y$ are variables, and $a,b,c,d,e,f$ are longer expressions as a funtion two other variables, ...
39 views

### Why does Refine not use transformation rules for a user-defined function?

I defined a transformation rule for a symbol L that takes a sequence of numbers ...
73 views

### Limiting solution space for symbolic algebra problems

I have a system of 12 quadratic equations with 12 variables (x11, x12, x21, x22, x23, x33, p1, p2, p3, ϕ, μ, τ) and several positive constants,w, q1, q2. ... > 0<...
40 views

### Evaluating Fourier coefficients when Exponential terms are present

I am trying an analytical solution for a 3D Laplace equaition, and just wanted to know if I could use the symbolic calculation capabilities of Mathematica to calculate the Fourier coefficients ...
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### Linear dependency of vectors of functions

I would like to find a symbolic way to obtain a Q-function (Boolean output) for the following problem. I have the following inputs: ...
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### Define some variables to be real within the whole notebook

I want to define some variables to be real within the whole notbook? How can I do this? In the following you can find my code. I think the last step will be computed in seconds when I tell mathematica ...
44 views

### How can I simplify expressions correctly?

the final output of my code gives this expression which i call ttt: ...
71 views

### Parametric minimization running forever

I am trying to solve for the minimum distance between a line and a cone, for all possible lines in 3D space. I've formulated this as a call to Minimize, but it ...
106 views

### How do I tell Mathematica to assume a symbol is bound to a matrix?

Is it possible to tell Mathematica to treat symbols as matrices instead of scalars? For example, instead of getting Solve[r == c*n*r + d, r] ...
75 views

### Linear programming with parameters

I am trying to run LinearProgramming with a vector and a matrix that depend on some parameters, but it's not working. The message I get is that my code "contains ...
71 views

### Multivariate hypergeometric functions

Anybody knows of any Mathematica implementation of multivariate hypergeometric functions? It requires Jack polynomials, or at least Schur polynomials for the real case. In addition it requires ...
56 views

### Using Refine function and take real part of a symbolic expression

I am trying to take the real part of the a complex expression using Refine function. However, the result doesn't come out as expected. The final result still ...
154 views

### How to get Mathematica to evaluate trig function derivatives in a expression

I am working on a problem that results in expressions with trig functions and their derivatives along with several other functions and derivatives. At one point, the subtraction of two expressions ...
50 views

### Why does Mathematica take an aeon to solve an inequality?

I gave Mathematica this inequality to solve: ...
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### Question arising from research into relation between Pi and its convergents

I am researching my conjecture (-1)^n*(Pi−A002485(n)/A002486(n))=(Abs(m)*2^j)^(-1)*Integrate[(x^l*(1-x)^(2*(j+2))*(k+(m+k)*x^2))/(1+x^2),{x,0,1}] (1) where ...
114 views

### Troubleshooting Notation Package

I would like to switch some mathematica functions (and variables) to forms that are more readable. I am hoping simply to change some notation for derivatives and make it so that I can symbolize ...
186 views

### Mathematical symbol and name for Symbolic Replacement

(Originally from math.SE, but might be better here) I'm searching for a mathematical symbol, that describes the symbolic replacement done for instance in Mathematica: ...
167 views

### Alternative to Series

Here is a sample of my code: ...
633 views

### Simplifying terms in a Sum expression

I have a sum in the form of pure function s = Sum[f[k], {k, 0, # - 1}] & of perhaps complicated terms f[k]. The terms <...
I want to factorize a matrix $a_{ij}$ as $$a_{ij} = \sum_k u_{ik} v_{jk}$$ using variational method for some reason. That is, I want to minimize the cost function $$F = \sum_{ij} b_{ij}^2$$ with ...