1
vote
2answers
393 views

Given a formal power series ,decide whether there exists a polynomial the series satisfies and if it exists,how to write it down?

Given a formal power series $$y(x)=\sum_{i=0}^{\infty} a_i x^i$$ Is there an algorithm that decides whether there exists a polynomial$$ P(x,y)=p_n(x)y^n+p_{n-1}(x)y^{n-1}+\cdots+p_0(x)=0,p_j(x)\in ...
25
votes
0answers
643 views

Computer calculations in A_infinity categories?

Is there a good computer program for doing calculations in A-infinity categories? Explicit calculations in A-infinity categories are an important, useful, yet very tedious task. One has to keep ...
2
votes
2answers
693 views

viewing the second fundamental form as a tensor

Dear all, Thank you for your time reading this post. I am a student in computer science so this viewpoint of the second fundamental form may be interesting to you. I would like to understand the ...
1
vote
1answer
322 views

Algorithm for generating a size k error-correcting code on n bits

I want to generate a code on n bits for k different inputs that I want to classify. The main requirement of this code is the error-correcting criteria: that the minimum pairwise distance between any ...
44
votes
4answers
2k views

What algorithm in algebraic geometry should I work on implementing?

This summer my wife and one of my friends (who are both programmers and undergraduate math majors, but have not learned any algebraic geometry) want to learn some algebraic geometry from me, and I ...
2
votes
1answer
1k views

Conditions that allow unique solutions for Linear Diophantine equations

(This posting became very long, so I should note that there are two alternative but nearly equivalent formulations of the same question being given. The first one asks for the optimal strategy for ...