# Questions tagged [algebra]

Abstract manipulation of symbols. Transforming an algebraic expression into the desired form.

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### Mathematica package for computing Macdonald polynomials

I want to implement computation of Macdonald polynomials in mathematica. A similar question was raised in another question 5 years ago (Macdonald-Koornwinder polynomials?), but received no clear ...
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### Who found also, that algebraic equations of degree 5 can be solved analytically much more than in literature? [closed]

We should go on with Euler's determining equations for algebraic degree 5. Has anyone some experience with this?
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### How to apply this function? [closed]

I have defined functions f[x], g[x]. How can I let them act on variable x (I want to put the ...
51 views

### Inverse/Division in finite field?

Think of multiplictavie group of finite field F[p,n], where p is a prime number and n is a positive integer. The whole elements of F[p,n] can be represented as p^n-p^(n-1) positive integers in the ...
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### How can I multiply two 2-dim. matrices? [closed]

If I have the given below matrix d1[7,7], how can I multiply d1 by d1 to get the square matrix d2=d1.d1 ? ...
60 views

### Simplify simple symbolic expression with KroneckerDelta

In short, my question is about finding a method for performing an automatic substitution f[a]/.{a->b}, where b depends on the ...
77 views

### No solution to the equation even though it has one

I was trying out Mathematica with a simple equation. I tried this one out, but it outputted nothing and when I went on WolframAlpha to test it, there was a result (c = 3 btw). Please let me know if ...
52 views

### generate quadratic functions to evaluate membership of points

How can I make a printable list with different quadratic functions and with points that belong or not to them so that a young person can check whether or not the point belongs to the parabola? my code ...
101 views

### Simplifying quantum operators (ladder operators with multiple modes)

Similar to this question, I am interested in working with an implementation of quantum ladder operators. I've been trying to use this "Quantum Mathematica Package" to solve some lengthy ...
58 views

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### How to neglect the terms containing second and higher powers of parameter in a function

I want to neglect the terms containing second and higher powers of a from some equations. Since the equations are lengthy expressions, I was using Mathematica to ...
257 views

### How to write a positive function as sum of positive terms only

A multivariate polynomial function can be written in a certain form (x^m (1-x)^n y^k + ... ) if the function is Positive in the whole domain and contains a finite ...
353 views

### How to generate all combination of multiplication of multiple variables (raised to some powers)

I want to generate all the possible combinations (commutative) of a few variables but also raised to some fixed powers. Lets take the following example: I have three variables ...
92 views

### Extracting subexpressions

This is a recurrent topic: replacing subexpressions. See for instance: ...