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We take a new approach to the generation of Jacobi theta function identities. Itis complementary to the procedure which makes use of the evaluation of Parseval-like identitiesfor elementary cylindrically-symmetric functions on computer holograms. Our method is moresimple and explicit than this one, which was an outcome of the construction of neurocomputerarchitectures through the Heisenberg model

Theta function identities from optical neural network transformations