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Quantum gravity: are we there yet? [PDF]
Majid S.
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EdgeSugarcane: a lightweight high-precision method for real-time sugarcane node detection in edge computing environments. [PDF]
Zheng Z+6 more
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Simultaneous acclimation to nitrogen and iron scarcity in open ocean cyanobacteria revealed by sparse tensor decomposition of metatranscriptomes. [PDF]
Blaskowski S+4 more
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Tensor products of orthoalgebras [PDF]
The following definition of a tensor product of orthoalgebras is proposed: Let \(P\) and \(Q\) be orthoalgebras. We say that a pair \((T,\tau)\) consisting of an orthoalgebra \(T\) and a bimorphism \(\tau: P\times Q\to T\) is a tensor product of \(P\) and \(Q\) iff the following conditions are satisfied: (i) If \(L\) is an orthoalgebra and \(B: P\times
David J. Foulis, M. K. Bennett
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1998
Indeed, the map f : \( \mathbb{Z}{{ \otimes }_{\mathbb{Z}}}{{\mathbb{Z}}_{n}} \to \mathbb{Z} \cdot {{\mathbb{Z}}_{n}},f(\sum\limits_{{i = 1}}^{n} {{{x}_{i}} \otimes {{{\bar{y}}}_{i}}} ) = \sum\limits_{{i = 1}}^{n} {{{x}_{i}}{{{\bar{y}}}_{i}}} \) is readily seen to be a ℤ ...
Grigore Cǎlugǎreanu, Peter Hamburg
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Indeed, the map f : \( \mathbb{Z}{{ \otimes }_{\mathbb{Z}}}{{\mathbb{Z}}_{n}} \to \mathbb{Z} \cdot {{\mathbb{Z}}_{n}},f(\sum\limits_{{i = 1}}^{n} {{{x}_{i}} \otimes {{{\bar{y}}}_{i}}} ) = \sum\limits_{{i = 1}}^{n} {{{x}_{i}}{{{\bar{y}}}_{i}}} \) is readily seen to be a ℤ ...
Grigore Cǎlugǎreanu, Peter Hamburg
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Having considered bilinear maps, we now come to multilinear maps and basic theorems concerning their structure. There is a universal module representing multilinear maps, called the tensor product. We derive its basic properties, and postpone to Chapter XIX the special case of alternating products.
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The tensor phase under a tensor–tensor product
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Jiadong+3 more
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Tensor Products of Representations
American Journal of Mathematics, 1987Let G be a connected reductive algebraic group of characteristic zero. Let B be a Borel subgroup of G. If \(\Psi\) is a dominant character of B then there is a corresponding irreducible representation \(V_ G(\Psi)\) of G on the space of global sections \(\Gamma\) (G/B,L(\(\Psi)\)) of the line bundle L(\(\Psi)\) on G/B corresponding to \(\Psi\).
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Unconditionality in tensor products
Israel Journal of Mathematics, 1978It is proved that in order to study unconditional structures in tensor products of finite dimensional Banach spaces it is enough to consider a certain basis. This result is applied to spaces ofp-absolutely summing operators showing their “bad” structure.
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ON THE TENSOR PRODUCTS OF JC-ALGEBRAS
The Quarterly Journal of Mathematics, 1994AbstractIn this article we introduce and develop a theory of tensor products of JW-algebras. Since JW-algebras are so close to W*-algebras, one can expect that the W*-algebra tensor product theory will be actively involved. It is shown that if Mand N are JW-algebras with centres Z1 and Z2 respectively, then Z1 ⊗ Z2 is not the centre of the JW-tensor ...
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