Tagged Questions
1
vote
0answers
9 views
Tools for optimizing asymptotic bounds.
Is there any tool for this task ?
Given the asymptotic bound in term of $n$ and other paramaters $t_1,\dots,t_r$, then return the value for each $t_i$ which optimizes the expression in term of $n$, ...
3
votes
2answers
55 views
What free software can I use to solve a system of linear equations containing an unknown?
Question: What free software can I use to solve a system of linear equations $M\mathbf{x}=\mathbf{y}$ where the entries of $\mathbf{y}$ vary with an unknown quantity $n$?
Presumably I could do ...
3
votes
1answer
62 views
What is the fastest computational graph theory package?
What is the fastest computational graph theory package with respect to executing algorithms and computing graph theoretic data?
I am aware of this related question, which requests graph theory ...
1
vote
1answer
47 views
How do I determine if two of my software's representation of algebraic numbers are equal?
I have software which stores information about algebraic numbers with absolute precision. If you build it up by creating instances of a Python representation of an integer, float, Decimal, or string, ...
-1
votes
1answer
77 views
Best graphing program for Mac or PC?
I just bought the highest end iMac, with a student discount, of course, and was wondering what is the best graphing program out there. A program that can graph any equation that I throw at it AND one ...
0
votes
0answers
108 views
A (contour?) integration (even if by using Mathematica!)
I need to be able to calculate integrals of this type where the sum over $R$ is the sum over representations of a Lie group $G$ on whom $dU$ is the Haar measure and $\chi _ R ()$ is the character of ...
4
votes
1answer
101 views
What's the best way to detect an algebraic number?
Suppose you calculate the first few (dozen, hundred) digits of a number which you believe to be a rational number. You can calculate the continued fraction for the number and truncate after a large ...
0
votes
1answer
684 views
Plot Y-Range on Mathematica
I have a plot that I would like to slightly manipulate in Mathematica. Here is the code I am entering:
Plot[{x, 2^x, log_2(x)}, {x, -1, 3}]
As you can see $x$, $2^x$, and $log_2(x)$ are all ...
4
votes
1answer
308 views
Computing with ideals: over $K$ or over $\mathbb{Q}\subseteq K$? does it matter?
I'm beginning to learn to use SINGULAR, the computer algebra system (CAS) for commutative algebra.
NOTATION: If $K$ is a field of characteristic $0$, then $\mathbb{Q}\subseteq K$; otherwise ...
1
vote
0answers
56 views
Computing relations on the columns of a matrix
Given an $m\times n$ (with $n>m)$ matrix $M$ over a polynomial ring $R=k[x_1,...,x_n]$, suppose that every column of $M$ is an $R$-linear combination of $m$ specified columns. I would like to ...
3
votes
1answer
98 views
Find $k^{th}$ root of $M \in GL(n,F_2)$
Given $M \in GL(n,F_2)$ which is known to have a $k^{th}$ root.
How can I find a root algorithmically? Can I find all roots?
Other than being invertible and having a $k^{th}$ root I know nothing of ...
