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Showing 1 to 20 of 67 for “"tensor product"”.
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Syzygies and implicitization of tensor product surfaces
A tensor product surface is the closure of the image of a rational map λ : P1 ×P1-->P3. These surfaces arise in geometric modeling and in this context it is useful to know the implicit equation of λ in P3. Currently, syzygies and Rees algebras provide the fastest and most versatile method to find …
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Algebraic Grid Generation Using Tensor Product B-Splines
… mapping at each interior grid point and the dot product of vectors tangent to the grid lines is investigated.</p> <p>Grids generated by using the algorithm are presented.</p>
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Modern Electronic Structure Theory using Tensor Product States
… dissertation, the clustered ansatz, termed as tensor product states (TPS), is used to study large strongly correlated systems. In the second part, we study a particular type of strongly correlated system, correlated triplet pair states that arise in singlet fission. The many-body expansion …
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A tensor product approach to non-local differential complexes
We define and study differential complexes of Alexander-Spanier type on metric measure spaces associated with (generally) unbounded non-local operators, such as operators of fractional Laplacian type. We show that these complexes can be used to approximate complexes of differential forms in a …
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A tensor product decomposition of the many-electron Hamiltonian
… approach is described. The approach exploits a tensor (Kronecker) product construction of the many-electron Hamiltonian and has a number of computational advantages. Explicit assembly and storage of the Hamiltonian matrix is avoided by using the Kronecker product structure to form matrix-vector …
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Matrix Free approach for Raviart-Thomas anisotropic Tensor Product Finite Elements
In this thesis, we develop techniques for fast, efficient cell based operator evaluation of Raviart-Thomas finite elements and thereby extend the existing implementation of matrix free framework in deal.ii. The extensions allow the framework to also support anisotropic vector-valued finite elements …
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Exploring the Electronic Structure of Strongly Correlated Molecular Systems using Tensor Product Selected Configuration Interaction
… bottlenecks. In 2020, our group developed the Tensor Product Selected Configuration Interaction (TPSCI) method to overcome these memory bottlenecks. We take advantage of the local character of these strongly correlated systems by doing a change of basis into tensor products, then do a selected …
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Diagonals of Tensor Products of Banach Lattices with Bases.
In this dissertation, we investigate diagonals of tensor products of Banach lattices with bases. We first consider questions on the positive tensor products of l_p spaces. We characterize the main diagonals of the positive projective tensor product and the positive injective tensor product of l_p …
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Bases In Spaces Of Regular Multilinear Operators And Homogeneous Polynomials On Banach Lattices
… for which the m-fold Fremlin projective tensor product E1⊗ |π|··· ⊗|π|E m (resp. the m-fold positive injective tensor product E1⊗|ϵ|··· ⊗ |ϵ|Em) has a shrinking basis or a boundedly complete basis. For Banach lattices E and F with 1-unconditional bases, we show that the monomial sequence …
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A Künneth theorem for the cyclic homology of A-infinity algebras
… conditions, we construct a Künneth map from the tensor product of their cyclic homologies to the cyclic homology of the A-infinity tensor product A [circled times] B and show that it respects the EP-structures. As an application, we show that if A and B are equipped with weak Calabi-Yau …
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Complex Vector Lattices: Tensor Products And Multilinear Maps
… the vector space complexification of the Fremlin tensor product C(X)⊗C(Y) is not a complex vector lattice when X and Y are uncountable metrizable compact spaces. The vector lattice complexification is employed to construct an Archimedean complex vector lattice tensor product, powers of Archimedean …
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Hypersurface Sections: A Study of Divisor Class Groups and of the Complexity of Tensor Products
… a complete intersection R the complexity of the tensor product $M\otimes\sb{R}N$ of two finitely generated modules is the sum of the complexities of each if $Tor\sbsp{i}{R}(M,\ N)=0$ for $i\ge1.$ One of the applications is simplification of the proofs of central results over hypersurface rings in …
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Topics In Nonabelian Tensor Products Of Topological Groups
The well-known notion of tensor product is used to describe multilinear relations between objects and enjoys many applications in pure and applied mathematics. The tensor product has been studied extensively in linear algebra with generalisations to abstract abelian group theory and modules. In …
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Bimodule categories and monoidal 2-structure
<p>We define a notion of tensor product of bimodule categories and prove that with this product the 2-category of C -bimodule categories for fixed tensor C is a monoidal 2-category in the sense of Kapranov and Voevodsky ([KV91]). We then provide a monoidal-structure preserving 2-equivalence between …
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Tensor Products and Factorizations of Operator Systems
… we start by studying the operator system maximal tensor product, called max, in [17] from different perspectives. One approach is by the factorization technique used in Banach spaces [11] and operator spaces [5, 31]. Although in [14] it was used in establishing the operator system version of …
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A parallel environment for simulating quantum computation
… have a structure that can be described using the tensor product operator from linear algebra. We believed that a new simulation environment based on this tensor product structure would be substantially more efficient than one based on large matrices. We designed a new simulation environment that …
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Representable functionals and derivations on Banach quasi *-algebras
… from a finite number of them, like \textit{tensor products} (see \cite{ada,fiw,fiw1,hei,hel,lau,lp,sa}). In \cite{AF} we construct the tensor product of two Banach quasi *-algebras in order to obtain again a Banach quasi *-algebra tensor product. We are interested in studying their capacity …
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Motivic symmetric ring spectrum representing algebraic K-theory
… of vector bundles with strictly associative tensor product that is also strictly commutative with line bundles.
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New ab initio formulation of electron correlation and spin resonance
… the two-body density matrix as a finite sum of tensor products of single-particle operators. Representing correlations by a single tensor product leads to the recently proposed "natural orbital functional." We show that this theory is no more accurate than Hartree-Fock in describing the …
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On the Projective Characters of the Finite Chevalley Groups
… The main tool used in the paper is Steinberg's Tensor Product Theorem.
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