The space generated by metric and torsion tensors, derivation of Einstein-Hilbert equation
Pracì Mìžnarodnogo Geometričnogo Centru, 2014 This paper is devoted to the derivation of field equations in space with the geometric structure generated by metric and torsion tensors. We also study the geometry of the space are generated jointly and agreed by the metric tensor and the torsion tensor.
Николай Иванович Яременко
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A Full-Body Relative Orbital Motion of Spacecraft Using Dual Tensor Algebra and Dual Quaternions
Mathematics, 2023 This paper proposes a new non-linear differential equation for the six degrees of freedom (6-DOF) relative rigid bodies motion. A representation theorem is provided for the 6-DOF differential equation of motion in the arbitrary non-inertial reference ...
Daniel Condurache
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Non-linear elastic effects in phase field crystal and amplitude equations: Comparison to ab initio simulations of bcc metals and graphene [PDF]
, 2016 We investigate non-linear elastic deformations in the phase field crystal model and derived amplitude equations formulations. Two sources of non-linearity are found, one of them based on geometric non-linearity expressed through a finite strain tensor ...
Friák, M. +6 more
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Polynomial-Time Tensor Decompositions with Sum-of-Squares [PDF]
IEEE Annual Symposium on Foundations of Computer Science, 2016 We give new algorithms based on the sum-of-squares method for tensor decomposition. Our results improve the best known running times from quasi-polynomial to polynomial for several problems, including decomposing random overcomplete 3-tensors and ...
Tengyu Ma, Jonathan Shi, David Steurer
semanticscholar +1 more source
Complete-Graph Tensor Network States: A New Fermionic Wave Function Ansatz for Molecules [PDF]
, 2010 We present a new class of tensor network states that are specifically designed to capture the electron correlation of a molecule of arbitrary structure. In this ansatz, the electronic wave function is represented by a Complete-Graph Tensor Network (CGTN)
Bela Bauer +22 more
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Cosmological perturbations from braneworld inflation with a Gauss-Bonnet term [PDF]
, 2004 Braneworld inflation is a phenomenology related to string theory that describes high-energy modifications to general relativistic inflation. The observable universe is a braneworld embedded in 5-dimensional anti de Sitter spacetime. Whe the 5-dimensional
A. Fayyazuddin +25 more
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Global sensitivity analysis using low-rank tensor approximations [PDF]
Reliability Engineering & System Safety, 2016 In the context of global sensitivity analysis, the Sobol' indices constitute a powerful tool for assessing the relative significance of the uncertain input parameters of a model.
K. Konakli, B. Sudret
semanticscholar +1 more source
Implementable tensor methods in unconstrained convex optimization
Mathematical programming, 2019 In this paper we develop new tensor methods for unconstrained convex optimization, which solve at each iteration an auxiliary problem of minimizing convex multivariate polynomial.
Y. Nesterov
semanticscholar +1 more source
Relative entropy for coherent states in chiral CFT
, 2019 We consider the relative entropy between the vacuum state and a state obtained by applying an exponentiated stress tensor to the vacuum of a chiral conformal field theory on the lightray.
Hollands, Stefan
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Perturbations in k-inflation [PDF]
, 1999 We extend the theory of cosmological perturbations to the case when the ``matter'' Lagrangian is an arbitrary function of the scalar field and its first derivatives.
Garriga +3 more
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