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Tag: Algebraic and Geometric Analysis

  • Elliptic and quasi-elliptic functions satisfy Schanuel-type independence

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    What the study found The paper gives examples involving elliptic and quasi-elliptic functions for which algebraic independence is proved. These examples include z, the Weierstrass function wp(z), zeta function zeta(z), sigma function sigma(z), exponential functions, and Serre functions related to integrals of the third kind. Why the authors say this matters The authors state that…

  • Tensor nuclear norm is fully decomposable on specific subspaces

    Tensor nuclear norm is fully decomposable on specific subspaces

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    in

    What the study found The study shows that the tensor nuclear norm can be fully decomposed over specific subspaces, and it identifies the largest subspaces for which this full decomposability holds. It also derives new inclusions for the subdifferential, which is the set of all valid subgradients, of the tensor nuclear norm. Why the authors…