Theta function identities from optical neural network transformations (Q689036)

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scientific article; zbMATH DE number 438935
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Theta function identities from optical neural network transformations
scientific article; zbMATH DE number 438935

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    Theta function identities from optical neural network transformations (English)
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    11 November 1993
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    Summary: We take a new approach to the generation of Jacobi theta function identities. It is complementary to the procedure which makes use of the evaluation of Parseval-like identities for elementary cylindrically- symmetric functions on computer holograms. Our method is more simple and explicit than this one, which was an outcome of the construction of neurocomputer architectures through the Heisenberg model.
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    Jacobi theta functions
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    Riemann zeta functions
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    neural networks
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    computer holograms
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