Questions tagged [polynomials]
Questions on the functionality operating on polynomials
1,044 questions
5 votes
0 answers
96 views
Avoid MonomialList applying N to coefficients containing floats
For inexact coefficients MonomialList seems to apply N. How to avoid this? ...
- 3,516
3 votes
1 answer
233 views
Factor polynomial with generalized root extension
Here are two examples with ordinary extensions: Factor[1 + x^4, Extension -> Sqrt[2]] Factor[x^2 + 2 Sqrt[3] x + 3, Extension -> Automatic] But what about &...
- 32.5k
3 votes
4 answers
266 views
Understanding a function that finds the degree of a multi-variate polynomial
The following function finds the degree of a multi-variate polynomial. PolyDeg[expr_]:=expr//ToList//Exponent[#,Variables[#]]&/@#&//Plus@@@#&//Max; ...
- 647
2 votes
2 answers
147 views
How can I reduce the degree of a polynomial in two variables by substitution?
This is similar to the how-to-replace-variable-with-power question, but here it involves two variables with different power combinations. This quesion arises from paper forward kinematics of the 6-6 ...
- 403
3 votes
1 answer
301 views
Is there a way to automate the generation of these polynomials?
The motivation of this question is pure curiosity. Working on this problem, I tried to find the zero of function $$f(x)=m\,(m-1)^{\frac{1}{m}-1}\, x^{1-\frac{1}{m}}+x-1 \quad \quad \text{where} \...
- 1,105
2 votes
0 answers
258 views
How to calculate Kazhdan-Lusztig Polynomials of Coxeter groups using Mathematica? [closed]
How to calculate Kazhdan-Lusztig Polynomials using Mathematica? References: TABLES OF KAZHDAN-LUSZTIG POLYNOMIALS Kazhdan-Lusztig Polynomials - Combinatorics kazhdan-Lusztig-polynomial-calculator (of ...
- 1
2 votes
1 answer
155 views
Conditions under which roots of cubic matrix polynomial are real
I've defined four $2\times 2$ matrices and a vector of size $2$: ...
- 155
0 votes
0 answers
176 views
Can all combination of Trigonometric functions be written in terms of spherical harmonics?
I want to write these two Expressions in terms of spin-weighted spherical harmonics: $\cos^{2}\theta\,\cos^{2}\phi - \sin^{2}\phi$ $\cos^{2}\theta\,\sin^{2}\phi - \cos^{2}\phi$ I've written this code ...
- 1