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Questions tagged [mathematical-software]

1 vote
0 answers
19 views

Transferable skills: From GAP to C++ [closed]

There is mathematical software for an area of mathematics (i.e., group theory), called GAP. For a while now, I have heard the vague statement that it is "based on C++". I don't know what ...
Shaun's user avatar
  • 141
2 votes
1 answer
159 views

Software for Wheels: On Division by Zero Using a Computer

This is concerning wheel theory, a way to allow division by zero in an algebraic system. Instead of a binary operation $\div$, there is a unary operation $/$ under the rules given in the linked ...
Shaun's user avatar
  • 141
0 votes
0 answers
27 views

What software can compute restricted matching numbers of graphs?

Let $\Delta$ be a simplicial complex and $F, G$ be two facets of $\Delta$. We say that $F$ and $G$ form a gap in $\Delta$ if $F \cap G = \emptyset$ and the induced subcollection on the vertex set $F \...
user avatar
0 votes
0 answers
85 views

Didactic tool to play with deterministic and nondeterministic automata

I'm looking for some tool, either online or not, to let students play with automata. What I'm looking for specifically is for a tool that allows one to build an automaton and construct its powerset ...
Nicola Gigante's user avatar
5 votes
3 answers
1k views

Usefulness of Differential Geometry

I recently came across these books: Differential Geometry and Lie Groups: A Computational Perspective Differential Geometry and Lie Groups: A Second Course Their subject matter really intrigues me, ...
user37344's user avatar
  • 135
1 vote
2 answers
582 views

Implementing piecewise linear functions

I need to implement piecewise linear functions (this is not homework, it is for my own personal project). However, I have been having difficulties to get it right. Below, I describe the ...
Counlin's user avatar
  • 11
4 votes
0 answers
50 views

Testing whether polynomial is in algebra of other polynomials

A collection $\Sigma$ of polynomials is an algebra if: (1) $\lambda f + \eta g \in \Sigma$ for any $f,g \in \Sigma, \lambda,\eta \in \mathbb{R}$ and (2) $f,g \in \Sigma$ implies $fg \in \Sigma$. We ...
user avatar
3 votes
1 answer
2k views

Imperfection in randomness in VLC shuffle playlist - why?

Whenever I play a playlist of music using VLC (possibly other software too), I notice that some songs never get played while others get played repeatedly (even for a playlist of just 8 songs). I know ...
Sridhar Sarnobat's user avatar
3 votes
2 answers
195 views

How much can we trust mathematical software when working with large numbers, and how much memory it needs to work with these numbers?

For example, I want to evaluate the expression: $3^{3^{{3}^{3}}}$ so I used wolframalpha.com (it's free, and I don't own any software), which returned the scientific notation of the number above, ...
Pinteco's user avatar
  • 151
-1 votes
1 answer
327 views

Can we find every 216 digit number combination? [closed]

This question popped to my head when I watched Pi where the mathematican told the Jews "Didnt you calculate every 216 digit number allready?" So I want to find every possible 216 digit number ...
Delta Oscar Uniform's user avatar
1 vote
1 answer
200 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 ...
Job_September_2020's user avatar
5 votes
0 answers
76 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 ...
James Bowery's user avatar
1 vote
0 answers
137 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 ...
TomR's user avatar
  • 1,411
0 votes
0 answers
242 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....
Aurelio's user avatar
  • 239
3 votes
0 answers
222 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 ...
TomR's user avatar
  • 1,411

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