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https://github.com/fractalate/math
Open Mathematics
https://github.com/fractalate/math
mathematics
Last synced: about 2 months ago
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Open Mathematics
- Host: GitHub
- URL: https://github.com/fractalate/math
- Owner: fractalate
- Created: 2023-11-11T15:32:08.000Z (over 1 year ago)
- Default Branch: main
- Last Pushed: 2024-11-21T04:14:09.000Z (3 months ago)
- Last Synced: 2024-11-21T05:19:53.661Z (3 months ago)
- Topics: mathematics
- Language: Jupyter Notebook
- Homepage:
- Size: 9.74 MB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
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Metadata Files:
- Readme: README.md
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README
# Open Mathematics
Welcome to my open mathematics research! I believe mathematical ideas should be shared freely, so I work on my projects openly and I hope that you find something interesting.
Here's what I've been working on:
* [Circle Cuts (PDF)](./papers/circle_cuts/cuts.pdf) - Give a couple simple rules for cutting a circle and subsequent shapes, how many distinct configurations can be reached after $n$ cuts?
* [Polynomial Roots Iteration](./research/polynomial_roots/README.md) - What happens when you use the roots of a polynomial for the coefficients of a new polynomial?## Papers
Here are some papers I've written:
* [Convex Split-Face Polygon Cuts (PDF, 2022)](./papers/convex_split_face_polygon_cuts/csfpc.pdf)
## Problems
You can find my work on individual problems, like those from competitions or problem-of-the-week lists, in the [Problems](./problems/README.md) directory.
## Notes
Here are my notes on a few topics:
* [Linear Integer Programming (Notebook)](./notes/linear_integer_programming.ipynb)
* [Numeric Integrals in 3D (Notebook)](./notes/numeric_integrals_3d.ipynb)
* [SageMath Plot with Slider (SageMath Notebook)](./notes/sagemath_plot_with_slider.ipynb)
* [Standard Deviation (Notebook)](./notes/standard_deviation.ipynb)
* [Willans' Formula (Notebook)](./notes/willans_formula.ipynb)