54 lines
1.4 KiB
Markdown
54 lines
1.4 KiB
Markdown
# math-research
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Personal mathematics research repository by Eric Bauerfeld. Papers are written in AMS-LaTeX using the `amsart` document class.
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## Papers
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### `kempe_style_search_for_smaller_contradiction`
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**Humans Suffice: A Novel Proof of the Four Color Theorem**
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An in-progress proof of the Four Color Theorem via a minimal counterexample argument. The paper builds on Kempe's 1879 strategy — establishing valid cases for vertices of degree ≤ 4, then extending the argument to the degree-5 case using properties of non-adjacent degree-5 vertices, merged subgraphs, and locked colorings.
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### `plane_depth_labelling`
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**Plane Depth Labelling**
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Early-stage paper. Title and author information set; content in progress.
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## Creating a New Paper
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Use `run.sh` to scaffold a new paper from the AMS-LaTeX template:
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```sh
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./run.sh init_paper "Your Paper Title"
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```
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This creates a new directory (name derived from the title) containing a `paper.tex` pre-filled with the title and author.
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## Setup
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The Python library code in `lib/` requires SageMath. To set up the linting environment, run:
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```sh
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./run.sh setup
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```
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This creates a `.venv` using the SageMath Python interpreter and installs `pylint` into it.
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## Linting
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To lint the `lib/` directory:
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```sh
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./run.sh lint
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```
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This runs `pyright` (via `npx`) and `pylint` using the SageMath Python interpreter.
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## Building
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Papers are compiled with LaTeX. From within a paper directory:
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```sh
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latexmk -pdf paper.tex
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```
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