Questions tagged [computer-algebra-systems]

A computer algebra system (CAS) is a program which is able to carry out various symbolic manipulations with mathematical expressions. Some well-known computer-algebra systems are Mathematica, Maple, Wolfram Alpha, GAP, SAGE. Questions on this site about computer algebra systems should be mathematical in nature, and not just about the syntax or the mechanics of the CAS. Otherwise the question would be better suited for a different Stack Exchange site.

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Computing certain polynomials related to symmetric functions and $\lambda$-rings in Sage

The definition of a $\lambda$-ring (https://en.wikipedia.org/wiki/%CE%9B-ring) makes use of certain "universal" polynomials $P_n$ and $P_{n,m}$, which basically give you the formulas for ...
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How do I operate very small numbers [0,1] in Logarithmic Number System

I found no many papers describing this topic, but one of them is this https://web.ece.ucsb.edu/~parhami/pubs_folder/parh20-cee-comp-w-lns-arithmetic-final.pdf Here the formula of representation of ...
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Minimal polynomials of "simple" algebraic numbers

This should be a fairly trivial question, to which I have nevertheless found no satisfactory answer. I am interested in effective algorithmic computation of minimal polynomials of some particularly ...
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Polynomials subrings vs. polynomial ideals

Let us consider $K[x_1,\ldots,x_n]$, the ring of multivariate polynomials in variables $x_1,\ldots,x_n$ with coefficients in some field $K$. With this, we consider the subring $R$ generated by a ...
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Ideal polynomial equations in Macaulay2

Given a known ring $R$ and an ideal $I\subseteq R$, I would like to be able to solve an "ideal polynomial equation" of the form $$\sum_i I_i^{\alpha_i}=I,$$ i.e to find ideals $I_i$ so that ...
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How to do the given Line Integral problem in Maple ? Find the work done by the force F along C.

How to do the given Line Integral problem in Maple ? Find the work done by the force F along C. F(x, y, z) = (y, −x, −z), C consists of the line segments from (0, 1, 0) to (3, 2, −1), (3, 2, −1) to (−...
I'm curious if there are computer algebra systems that allows one to easily produce a list of irreducible polynomials of a given degree $n$ in $\mathbb{F}_p[X]$, where $p$ is a specific prime. Does ...