Results 11 to 20 of about 24,752 (265)
The Tensor Product of Polynomials [PDF]
Using Grobner basis algorithms in MAGMA we find necessary and sufficient conditions for a polynomial of degree 6 over any field to bethe tensor product of two polynomials, one of degree 3 and one of degree 2.
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Singular Bilinear Integrals in Quantum Physics
Bilinear integrals of operator-valued functions with respect to spectral measures and integrals of scalar functions with respect to the product of two spectral measures arise in many problems in scattering theory and spectral analysis. Unfortunately, the
Brian Jefferies
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Tensor rank is not multiplicative under the tensor product [PDF]
Fixed a typo in Remark ...
M. Christandl (Matthias) +2 more
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Stabilizing tensor products [PDF]
Let C C be a symmetric monoidal category with a suspension, and let SC be the ...
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Tensor Product of Evolution Algebras
AbstractThe starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and only if every factor is an evolution algebra.
Yolanda Cabrera Casado +3 more
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WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES [PDF]
The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions.
S. Afshar Jahanshahi, A. Ahmadi
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Let \(A=A_1\oplus\cdots\oplus A_r\) be a decomposition of the associative algebra \(A\) as a direct sum of its vector subspaces \(A_i\). This decomposition is regular if for any choice of the indices \(i_j\) one has \(A_{i_1}\cdots A_{i_n}\neq 0\), and furthermore for every \(i\) and \(j\) and every \(x_i\in A_i\), \(x_j\in A_j\) one has \(x_ix_j ...
Bahturin, Yuri, Regev, Amitai
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Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings
We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces.
M. V. Dubei, A. V. Zagorodnyuk
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Trace-Class and Nuclear Operators
This paper explores the long journey from projective tensor products of a pair of Banach spaces, passing through the definition of nuclear operators still on the realm of projective tensor products, to the of notion of trace-class operators on a Hilbert ...
Kubrusly Carlos S.
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Tensor-matrix products with a compressed sparse tensor [PDF]
The Canonical Polyadic Decomposition (CPD) of tensors is a powerful tool for analyzing multi-way data and is used extensively to analyze very large and extremely sparse datasets. The bottleneck of computing the CPD is multiplying a sparse tensor by several dense matrices. Algorithms for tensor-matrix products fall into two classes.
Shaden Smith, George Karypis
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