Questions tagged [algebra]
Abstract manipulation of symbols. Transforming an algebraic expression into the desired form.
299 questions
0 votes
0 answers
28 views
2D $q$-Racah kernel $\tilde{K}$, the pre-limit barcode kernel $K_{L}^{\text{barcode}}$, and the conjectual limit $\mathcal{K}^{\text{barcode}}(s,t)$
Looking for Mathematica implementations of 2D $q$-Racah kernel $\tilde{K}$, the pre-limit barcode kernel $K_{L}^{\text{barcode}}$, and the conjectual limit $\mathcal{K}^{\text{barcode}}(s,t)$. Does ...
5 votes
2 answers
316 views
Why is the squareroot not done?
In the following code I wonder how I can force Mathematica to do the squareroots: ...
3 votes
1 answer
188 views
How to use Mathematica to do multivariate partial fraction decompositions?
For single variate partial fraction decompositions, Apart can do it. What if multivariate partial fraction decompositions? Should I use Singular's pfd.lib or Sage? ...
2 votes
1 answer
218 views
Why can't Mathematica determine the sign of the square root of a positive expression?
I am trying to determine whether an expression is positive, but I am new to Mathematica and ran into some unexpected behavior. I simplified the expression to better understand what was going on, but I ...
1 vote
1 answer
124 views
Simplifying Computation Subject to Polynomial Equations
I am trying to use Mathematica to simplify sums of the form $$\sum_{0 \leq j \leq 5}\sum_{0 \leq k \leq 1}\omega^{nj-k},$$ subject to the polynomial equations $\omega^{6} = 1$ and $\omega^{2} = \omega ...
1 vote
0 answers
119 views
How to find the solutions to simulteneous linear equations in mathematica, in case if the solution to them is not unique? [closed]
I have these three simultaneous equations b+c-a-d=0; 2b-a+c=0 and c-e=0 I entered the command Solve[{b+c-a-d==0, 2b-a+c==0, c-e==0},{b,d}] But I got {}
3 votes
2 answers
205 views
Evaluating square roots of quartic powers
I wonder why Mathematica does not act on the powers inside square roots. See the following example: Sqrt[a^4 b^4 c^4 d^4] does not give ...
1 vote
1 answer
111 views
Solving algebraic equations perturbatively (using function series)
I have linearised some equations and trying to solve them perturbatively in powers of small parameter $e$. Here is my script ...