3,260 research outputs found

    The Nature of Mathematical Reasoning.

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    In the Mazes of Mathematics: A Series of Perplexing Questions.

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    Six Times Six Is Thirty-Six : And Six Is Forty-Two

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    https://digitalcommons.library.umaine.edu/mmb-vp/5957/thumbnail.jp

    In the Mazes of Mathematics: Geometric Puzzles.

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    Locating Emergent Creativity with Similarity Metrics

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    Using corpora of 19 common-practice tonal composers, this article uses a variety of similarity metrics including cluster analyses and cross entropy to identify points of particular stylistic uniqueness. Throughout four computational experiments, we find that geography and chronology determine much inter-corpus similarity; however, points of dissimilarity – in particular, dissimilarities between larger groupings of similar composers – are described. Specific properties of stylistic imitations are also investigated and found to be more normative than average. These data are interpreted to arise due to emergent phenomena rather than being driven by individual “creative” composers
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