Questions tagged [wolfram-mathematica]
Wolfram Mathematica is a computer algebra system and programming language from Wolfram Research. Mathematica has its own StackExchange site at http://mathematica.stackexchange.com/
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Compute the flood polynomial of one graph using Mathematica
Reference: arXiv:2504.04233
Example 2.12: 4-vertex cycle graph
Structure: Square graph with 4 vertices
Flooding cascade sets: 7 total (2 of size 2, 4 of size 3, 1 of size 4)
Key insight: Opposite ...
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Gremban Expansion for Signed Networks and Community–Faction Detection
I made Mathematica demonstration of Gremban Expansion for Signed Networks and Community–Faction Detection based on the 2 algorithms provided in arXiv:2509.14193.
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Count triangles in K4-free graphs
Port the Python code provided in the appendix of arXiv:2509.12100 to Mathematica code.
The Wolfram code successfully:
✅ Constructs all 6 graph types correctly
✅ Detects K4-free properties
✅ Counts ...
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Demonstration of the Power Contamination Problem on Grids Revisited in Mathematica
The implementation successfully demonstrates all key findings from the research paper arXiv:2509.12756, including the disproof of the original conjecture and the establishment of the correct formula ...
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Expansion of the Rasala polynomials for symmetric group character degrees using Mathematica
I'd like to use Mathematica to demonstrate the expansion of the Rasala polynomials for symmetric group character degrees accroding to arXiv 2509.13190
The code is as follows. You may try it online!
<...
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Mathematica implementation of Lempel method for constructing Costas arrays
I ported C++ implementation of Lempel method for constructing Costas arrays to Mathematica.
How to fix my code? Thanks in advance.
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Use Mathematica to calculate Treewidth
The treewidth is a measure of the count of original graph vertices mapped onto any tree vertex in an optimal tree decomposition.
I wrote Mathematica code to calculate Treewidth
based on the Python ...
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Mathematica implementation of Welch method for constructing Costas arrays
I ported C++ implementation of Welch method for constructing Costas arrays to Mathematica.
Any feedback would be appreciated.
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Mathematica Code Demonstration of Elliptic and q-Analogs of the Fibonomial Numbers
This code covers:
Standard Fibonacci numbers.
Fibonacci factorials.
Standard Fibonomial numbers.
q-analogs of integers.
q-Fibonacci numbers.
q-Fibonacci factorials.
q-Fibonomial numbers (both (...
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The Routh-Hurwitz criterion in Mathematica implementation
The Routh-Hurwitz criterion is a mathematical test that provides conditions for the stability of a system by analyzing the signs of the determinants of specific matrices derived from the system's ...
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Brzozowski Algebraic Method for converting finite automaton from NFA to DFA
The Brzozowski Algebraic Method is a technique used in automata theory, specifically for constructing the minimal deterministic finite automaton (DFA) from a given nondeterministic finite automaton (...
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Expansion in place
Background
I'm calculating complicated and huge terms that I need to integrate three times w.r.t. to three angles. My ansatz was to expand the terms, manually sort them into a 3D association and ...
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Plot of massless particles on the unstable null circular geodesic
My friend and I were trying to reproduce Figure 4(left), page 7, from the paper "Probing phase structure of black holes with Lyapunov exponents", Guo 2022. We succeeded in reproducing the ...
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Butter side up?
I've written a piece of code that determines if a piece toast with butter lands on the butter-side or not, depending on its initial velocity and the table height.
The code is written in Mathematica ...
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Simulation of a mechanical arm
The code that I am doing is to simulate a scenario where a mechanical arm search pieces closer and these pieces selected the mechanical arm leaves in a position defined closer.
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