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Titlebook: Mathematics and Computation in Music; 4th International Co Jason Yust,Jonathan Wild,John Ashley Burgoyne Conference proceedings 2013 Spring

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Jason Yust,Jonathan Wild,John Ashley BurgoyneUp-to-date results.Fast track conference proceedings.State-of-the-art report
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978-3-642-39356-3Springer-Verlag Berlin Heidelberg 2013
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Mathematics and Computation in Music978-3-642-39357-0Series ISSN 0302-9743 Series E-ISSN 1611-3349
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The Structure of Z-Related SetsThe paper presents some new results on Z-related sets obtained by computational methods. We give a complete enumeration of all Z-related sets in ℤ. for small .. Furthermore, we establish that there is a reasonable permutation group action representing the Z-relation.
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https://doi.org/10.1007/978-3-642-39357-0cognitive modeling; compositional data analysis; hypercube graph; pattern discovery; symbolic music; data
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Towards a Categorical Theory of Creativity for Music, Discourse, and Cognitionivity, discourse theory, and cognition, suggests the relevance of the notion of “colimit” as a unifying construction in the three domains as well as the central role played by the Yoneda Lemma in the categorical formalization of creative processes.
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