semi-tensor product of matrices
矩阵半张量积
tensor product oor Sjinees
tensor product
en
The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.
Vertalings in die woordeboek Engels - Sjinees
张量积
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
Soortgelyke frases
voorbeelde
Advanced filtering
Voorbeelde moet herlaai word.
In general we can take sections of W, the tensor product of V with Ls, and consider tensor density fields with weight s.
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Using the semi-tensor product of matrices, the profile trajectory dynamics with two kinds of time delays are converted into their algebraic forms respectively.
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The Linear Parameter-Varying (LPV) model of the HFV is firstly obtained and smoothly transformed into a polytopic form by the Tensor-Product (TP) model transformation method.
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In this paper, we investigate the stable degree of strategy profile for evolutionary networked games by using the semi-tensor product method, and present a number of new results.
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Sometimes it is convenient to extend the definition of D to arbitrary E-valued forms, thus regarding it as a differential operator on the tensor product of E with the full exterior algebra of differential forms.
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There are however some new effects in the world of bimodules, especially when it comes to the tensor product: if M is an R-S-bimodule and N is an S-T-bimodule, then the tensor product of M and N (taken over the ring S) is an R-T-bimodule in a natural fashion.
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Tensor product From Wikipedia, the free encyclopedia
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Over the years 1897-1899 Frobenius published two papers on group representations, one on induced characters, and one on tensor product of characters.
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In modern physics notation, the quantum state of the electromagnetic field is written as a Fock state , a tensor product of the states for each electromagnetic mode
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But at least two things, now clearly of central importance, were completely missing: the tensor product of modules, and the generalization of every object to a graded object.
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The basic principles of homological algebra, and in particular the full functorial control over the manipulation of tensor products and modules of operator homomorphisms, will undoubtedly become standard algebraic technique already on the elementary level.
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The following year her second paper appeared The homology of tensor products and her next two papers, published in 1975 and 1976, were the results of work she undertook while in Malaysia, the last overseas posting her husband was to have, during 1974-76.
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By the Leibniz product rule, one sees that Δ does not actually depend on how X and Y′ are extended (so it defines a tensor on M).
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One of the basic rules of Hilbert space quantum mechanics is that when two physical systems, say S1 and S, are viewed as the pieces of a compound system S, then the Hilbert space to be associated to S is the tensor product of the Hilbert spaces H 1 and H associated to S1 and S. This rule found little justification in the traditional logico-algebraic approach to quantum mechanics.
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In 1978 An application of hyperdifferential operators to holomorphic quantization appeared, then a number of papers written jointly with Dirk Aerts: A characterization of subsystems in physics; Physical justification for using the tensor product to describe two quantum systems as one joint system; A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation; and A connection between propositional systems in Hilbert spaces and von Neumann algebras.
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The mere enumeration of Grothendieck's best known contributions is overwhelming: topological tensor products and nuclear spaces, sheaf cohomology as derived functors, schemes, K-theory and Grothendieck- Riemann -Roch, the emphasis on working relative to a base, defining and constructing geometric objects via the functors they are to represent, fibred categories and descent, stacks, Grothendieck topologies (sites ) and topoi, derived categories, formalisms of local and global duality (the 'six operations' ), étale cohomology and the cohomological interpretation of L-functions, crystalline cohomology, 'standard conjectures', motives and the 'yoga of weights', tensor categories and motivic Galois groups .
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These primitives include convolution, normalization, activation and inner product functions along with functions necessary to manipulate tensors.
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17 sinne gevind in 6 ms. Hulle kom uit baie bronne en word nie nagegaan nie.