Results 41 to 50 of about 3,153 (84)

The Fr\"olicher-Nijenhuis bracket for derivation based non commutative differential forms [PDF]

open access: yes, 1994
In commutative differential geometry the Fr\"olicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. In \cit!{3} the Fr\"olicher-Nijenhuis bracket was developped for universal differential forms of non-commutative ...
Dubois-Violette, Michel   +1 more
core  

Towards Quantum Field Theory in Categorical Quantum Mechanics

open access: yes, 2018
In this work, we use tools from non-standard analysis to introduce infinite-dimensional quantum systems and quantum fields within the framework of Categorical Quantum Mechanics.
Genovese, Fabrizio, Gogioso, Stefano
core   +1 more source

Tensor and Matrix Inversions with Applications [PDF]

open access: yes, 2011
Higher order tensor inversion is possible for even order. We have shown that a tensor group endowed with the Einstein (contracted) product is isomorphic to the general linear group of degree $n$.
Brazell, Michael   +3 more
core  

Iterated Differential Forms I: Tensors

open access: yes, 2006
We interpret tensors on a smooth manifold M as differential forms over a graded commutative algebra called the algebra of iterated differential forms over M.
A. M. Vinogradov   +5 more
core   +1 more source

Higher order approximation of isochrons

open access: yes, 2009
Phase reduction is a commonly used techinque for analyzing stable oscillators, particularly in studies concerning synchronization and phase lock of a network of oscillators.
Daisuke Takeshita   +7 more
core   +1 more source

An observer principle for general relativity [PDF]

open access: yes, 2014
We give a mathematical uniqueness theorem which in particular shows that symmetric tensors in general relativity are uniquely determined by their monomial functions on the light cone.
Dupre, Maurice J.
core  

On Kronecker Products, Tensor Products And Matrix Differential Calculus [PDF]

open access: yes
The algebra of the Kronecker products of matrices is recapitulated using a notation that reveals the tensor structures of the matrices. It is claimed that many of the difficulties that are encountered in working with the algebra can be alleviated by ...
Stephen Pollock
core  

On the Convergence of Alternating Least Squares Optimisation in Tensor Format Representations

open access: yes, 2015
The approximation of tensors is important for the efficient numerical treatment of high dimensional problems, but it remains an extremely challenging task.
Espig, Mike   +2 more
core  

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