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eCF Encoding Continued Fraction Knowledge in Computational Form in W|A

695 views · Published 3 February 2014 · 23:32 · Indexed 2 October 2026

Channel: Wolfram · 2014 · Education

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This talk reports on the recently completed collection, semantic encoding, and exposure of significant published results on continued fractions as a digital library. This work, supported by the Sloan Foundation, extends the framework developed for the Wolfram|Alpha website to create a new type of free digital archive for mathematical data that will both ensure preservation and promote dissemination of a targeted segment of mathematical knowledge for the public good. Continued fractions are an ideal subject for this proof-of-concept as they constitute a subset of mathematics that is historically rich, well-defined, and nontrivial, yet at the same time manageable in scope. eCF includes an exhaustive collection of 1300+ named and unnamed continued fraction identities, a normalized bibliographic database of ~500 relevant books and articles, and a collection of 800+ hand-curated theorems and results. All of these entities can be queried using a natural language syntax and provide additional linking and cross-entity entraining. In addition, many offer both visualizations and traditionally typeset versions, thus combining familiar traditional mathematical markup with modern tools for interactive and computational | exploration.

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