# Tagged Questions

The art of manipulating an algebraic expression into the desired form.

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### Making multi-linear polynomial change of variables (simplifications) by updating replacementFunction

This is an evolution of one of my previous questions; I've got a partial answer to that question and now have a much cleaner question to ask: Question: What changes to ...
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### Replacing patterns (determinants) in a rational multivariate function and/or getting replacementFunction to work on a multi-linear expression

Given a rational multivariate function known to contain determinants, what is the best way to rewrite the function in terms of the determinants? A simple example: ...
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### How do I use “Factor” to get this form

Here is the default answer. However, I want to get the result which looks like this Here is the Mathematica code: ...
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### generating random algebraic matrix using elementary operations

I generate several algebraic matrices of 12x12 where each element is a combination no repeat of the variables x, y, z and operations +, -, *, /, power, establishment (square root), any of them or any ...
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### how to use Expand command efficiently

Recently I got in a problem and I will try to explain with a simple example. I have an expression which reads : y = (10 + 2*x )/x; Now I want to substitute 1/x ->...
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### build absolute value equations know solution [closed]

We have absolute value equations with unknown coefficients: |x + a| = b and we know solutions: x = 11 and x = 5 We need ...
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### Conjugate[a/b + c/d]

Trying to obtain the result of Conjugate[a/b+c/d] only gives the same result. As such, I use Refine as: ...
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### Expand power of a polynomial

I'm very new to Mathematica, so excuse my innocence. I have the following expression: $$\left( \sum_{n=0}^r \frac{(-1)^n}{n!} y^n \right)^f$$ I would like Mathematica to expand out the expression ...
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### ApartSquareFree function

I have a doubt concerning the ApartSquareFree function in Mathematica. Roughly speaking, it is supposed to compute the partial fraction decomposition of a rational function $h/g$ with the denominators ...
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### How do you collect trigonometric functions in a polynomial?

I have an expression that has various forms of Sin and Cos and I want to collect them specifically so that I can make substitutions. As you can see I cannot figure out how to separate i Cos[theta] ...
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### Function inversion [closed]

I have an expression of this kind ...
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### Replace pattern for exponentials

Ultimately, I want to replace every Exp[(const) w[i,j]] to T[i,j] and Exp[-(const) w[i,j]] to 1/T[i,j] in the following expression ...
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### expressing a rising factorial as a polynomial

I have an equation in $x$ as follows: $f(x)=\prod\limits_{j=0}^{k}(j+x)=x(1+x)(2+x)\cdots(k+x)$ I want to express this as a polynomial in $x$, i.e., as $a_0x^0+a_1x^1+\cdots+a_kx^k$ I tried doing ...
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### Lagrangian to Hamiltonian

I want to go from Lagrangian description to Hamiltonian one. Using the example given by Mathematica I do something like: ...
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### Performance of Apart with complex numbers

Consider the following code ...
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### Factor a polynomial Root into Roots of smallest possible degree

Suppose I have a polynomial Root representing an algebraic number. I want to represent it (if possible) as a product of several polynomial ...
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### Simple grouping equations [closed]

I'm new in the Mathematica world. A very basic question. I have been using the command Eliminate on a set of equations as follow: ...
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