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Questions tagged [mathematical-software]

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1answer
22 views

What is the equation for a spiral path in 3D? [closed]

I am developing games in Unity 3D. Currently, I am trying to place 3D objects in 3D space in a spiral pattern that looks like one of 2 the strands in a pair of the DNA (helix) spiral pattern. Would ...
4
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0answers
41 views

Symbolic Math Systems As Speculative Optimization For Numerical Software?

Has there been published work on hiding symbolic math within numeric software, partitioning parallel processes between speculative symbolic optimization search and numeric evaluations? Real world ...
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0answers
63 views

Universal theorem proving algorithms for sequent calculus (e.g. for cut-free logics)?

Some of the logics admit Gentzen-style sequent calculus. Are there universal algorithms that allow to find proof (derivation of the proof) in sequent caculus for every hypthetical theorem? Some of ...
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0answers
62 views

These sample CNF formulas in DIMACS files are in P? (Schaefer's dichotomy theorem)

Here is my earlier question. But there was no full answer. I've decided to include specific DIMACS files: http://jarvis2.hmcloud.pl/sat/cnf.formula.10 (15.8MB) http://jarvis2.hmcloud.pl/sat/cnf....
2
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0answers
118 views

Can cognitive architectures (CLARION, SOAR, ACT-R) be used for creative mathematical reasoning?

Can cognitive architectures (CLARION, SOAR, ACT-R, others) be used for creative mathematical reasoning? As far as I understand, then it is the best to encode formal mathematical knowledge in the ...
3
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0answers
99 views

Generate all non-isomorphic bounded-degree rooted graphs of bounded radius

I need to generate/enumerate isomorphism classes of vertex-rooted graphs with the following properties. Let $\Delta$ be the maximal degree (say 3 for subcubic graphs) and $r$ the maximal distance of a ...
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0answers
108 views

Logical formula in DIMACS, SAT, Schaefer's dichotomy theorem and software to test it

I have a very complicated formula logical (CNF) in the file DIMACS. The question is as follows. The formula has hundreds of millions of clauses (assume billion) and a lot of variables. It is a ...
2
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1answer
546 views

How do Computer Algebra Systems work? [closed]

In Computer Architecture course, I have learnt how computer performs numerical computations. While using MATLAB, I was introduced to symbolic mathematics toolbox. I was amazed to see it manipulating ...
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0answers
82 views

Computational approach deciding whether a set of Wang Tile could tile the space up to some size [closed]

As an applied person, I'm facing one practical problem deciding whether a set of Wang tile could tile the plane periodically or aperiodically. Although both problems seem undecidable, but I'm on a ...
4
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1answer
266 views

C(++) library for DFAs - free for academic use

(I'm aware that software questions are better suited for stackoverflow, but since DFAs are not something that software developers usually care about, I hope it's alright if I ask here.) I'm currently ...
2
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2answers
3k views

Function Maximization in Java

I have a bivariate function like $ f(x,y) = \frac{1}{x^3 \sqrt{\pi}}. e^{\frac{2-x}{x^2}} . y^3 . e^{3.y \over 3-y} $ and I want to find its global maximum over a range of $ x \in [0, 200] \text{, ...
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3answers
1k views

Constructing a data structure for a computer algebra system

In thinking about how to approach this problem I think several things will be required, some tivial: An expression tree where non-leaf node is an operation (not sure if that part is redundant), but ...
8
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0answers
228 views

Complexity of computer algebra for systems of trigonometric equations

As discussed in this question, I drafted a spec algorithm that hinges on finding a specific root of a system of trigonometric equations satisfying the following recurrence: $\qquad f_{p_0} = 0\\ \...