# Questions tagged [algebra]

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

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34 views

### Take a specific part of a matrix, excluding the external brackets [duplicate]

I have a little manipulation problem. I have the following matrix: ...
47 views

### How to use only real values in a notebook?

I am wondering how to make Mathematica only evaluate real numbers by creating an initialization line in the beginning of a notebook. I would like to prevent the following: complex trigonometric ...
35 views

### Checking the consistency of a variable change

This question may have a simple solution. I did a change of variables and I'd like to check it; what do you recommend?. Altough I believed there's a way to compare term-by-term doing ...
50 views

### apply a change of variable to an expression

What would be the simplest way in which we can write y[x1_, x2_, x3_] = x1 + x2*x3 then x4 = x2*x3; to get to the form: ...
63 views

### 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 ...
104 views

### 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 ...
53 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 ...
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### 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 ...
63 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 ...
119 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 ...
71 views

### 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 ? ...
79 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 ...
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### Define commutator of operators, to do computations

I'm actually new to Mathematica I have been using sympy and sometimes cadabra to do calculations for a while though, I was wondering if there is an easy way to compute arbitrary expressions simplified ...
39 views

### Algebraic simplification of elements in a matrix

The matrix is defined as: ...
45 views

### How to substitute value of one variable from an equation in another to get the desired result?

I have this equation ...
65 views

### Find values of n for which expression is integer

I have an expression for which I want ot find values of n that will make it an integer. Here is the expression: (n^(3/2) - n)^(1/3) or n^(1/2) - n^(1/3) I want to ...
102 views

### Generates first degree exponential equations

I try to generate a list of first degree exponential equations in the real ones and that the solution is in logarithm in base 10 as simplified as possible, for example x= log(7) , where log is in base ...
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### Solve equations for multiple variables at same time

Here is an example equation: Solve[{a*x + b*y == c}, {a}] It gives me: a -> (c - b*y)/x To solve the same equation for <...
231 views

### Given x ⊕ x =5,x ⊕ (y ⊕ z) = (x ⊕ y)+z-5 what is 2009 ⊕ 1949

There is an operation "⊕" that satisfies $x ⊕ x =5$ $x ⊕ (y ⊕ z) = (x ⊕ y)+z-5$ what is 2009 ⊕ 1949? I think it is feasible to solve with Mathematica, but my code doesn't give a useful ...
262 views

### Constructible numbers

Can Mathematica detect constructible numbers? I know it has MinimalPolynomial, but for degrees higher than 4 it's not obvious whether a given polynomial yields a ...
75 views

### 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 ...