Thank you for your interest in the Small Numbers Project!
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Reproduce computations of extremal functions on small values.
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Provide many approaches for mathematicians to approach computing extremal functions.
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Extend human knowledge by collating and extending known values of extremal functions.
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Suggest future directions: If there is a topic you think is of interest to the project, then please create an Issue describing the topic. Please include citations to known work on the subject.
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Contribute Code: We are always trying to improve our algorithms so we can efficiently reproduce known values of these functions. We do not expect to match the best results in the world, but we can get as close as possible by improving our algorithms. Also, the way we approach the problem may inspire others to get started in their own research.
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Contribute Writing: There are several areas where we can expand the description of the problems and the existing literature. We can create surveys of existing approaches and algorithms. We could use better data collation: How can we best communicate what is known? How can we best communicate extremal examples?
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Contribute Computation: Most of these problems have exponential complexity, so we are limited in our ability to compute the values. Some times we just need to leave a process running for a very long time. Other times, we want to run several processes in parallel. Other times, we need large amounts of memory. If you have access to machines and want to contribute computation, please do!
After you decide how you want to help, please fork the repo, make your changes in your fork, and open a pull request.
If you don't know how these things work, then please contact the organizer for help. We understand that this fork-based workflow is probably foreign to mathematicians and those who do not develop software for a living. We are willing to work with you to get you started!