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What Can We Learn from Entanglement and Quantum Tomography?

Physics, 2022
Entanglement has become a hot topic in nuclear and particle physics, although many physicists are not sure they know what it means. We maintain that an era of understanding and using quantum mechanics on a dramatically new basis has arrived.
John P. Ralston
doaj   +1 more source

Connection between closeness of classical orbits and the factorization of radial Schr\"{o}dinger equation

, 1998
It was shown that the Runge-Lenz vector for a hydrogen atom is equivalent to the raising and lowering operators derived from the factorization of radial Schr\"{o}dinger equation. Similar situation exists for an isotropic harmonic oscillator.
Huo, Wu-jun, Liu, Yu-feng, Zeng, Jinyan
core   +1 more source

Factorization of Hausdorff Operators

Axioms
Throughout this study, we will gain a deeper understanding of Hausdorff operators that are commonly used in operator theory. The Hausdorff matrices Gamma, Cesàro, and Hölder are factorized here to derive novel inequalities.
Hadi Roopaei
doaj   +1 more source

A method of defining a class of linear conjugation problems for two-dimensional vector with closed-form solutions

Учёные записки Казанского университета: Серия Физико-математические науки
The problem of linear conjugation for a two-dimensional piecewise analytic vector was reduced to an equivalent problem of fractional linear conjugation, and a connection between their solutions was established.
S. N. Kiyasov
doaj   +1 more source

Factorization and infrared properties of non-perturbative contributions to DIS structure functions

, 2011
In this paper we present a new derivation of the QCD factorization. We deduce the k_T- and collinear factorizations for the DIS structure functions by consecutive reductions of a more general theoretical construction.
A. Bassetto, A.V. Efremov, A.V. Efremov, A.V. Efremov, A.V. Efremov, A.V. Efremov, A.V. Efremov, A.V. Efremov, B. I. Ermolaev, B.I. Ermolaev, B.I. Ermolaev, B.I. Ermolaev, B.I. Ermolaev, B.I. Ermolaev, B.M. McCoy, B.M. McCoy, D. Amati, D. Amati, D. Amati, E.A. Kuraev, E.A. Kuraev, G. Altarelli, G. Curci, G. Curci, G. Curci, I.I. Balitsky, I.O. Cherednikov, J. Collins, J.C. Collins, J.C. Collins, J.C. Collins, L.N. Lipatov, M. Ciafaloni, M. Greco, R. Kirschner, R. Kirschner, R.K. Ellis, S. Catani, S. Catani, S. I. Troyan, S. Libby, S.B. Libby, S.J. Brodsky, S.J. Brodsky, S.J. Brodsky, T. Becher, V.N. Gorshkov, V.N. Gorshkov, V.N. Gribov, V.V. Sudakov, Yu.L. Dokshitzer, Yu.L. Dokshitzer, Yu.L. Dokshitzer   +52 more
core   +1 more source

G-Pre: A Graph-Theory-Based Matrix Preconditioning Algorithm for Finite Element Simulation Solutions

Applied Sciences
In finite element simulation and analysis, increasing simulation scales place high demands on the preconditioning and solution process of linear matrices.
Min Chen, Jingyan Li, Lijie Li, Kang Liang, Gai Wu, Wei Shen   +5 more
doaj   +1 more source

Characterization of prime and composite numbers using the notion of successive sum of integers and the consequence in primality testing [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we give a characterization of primes and composite natural numbers using the notion of the sum of successive natural numbers. We prove essentially that an odd natural number N≥3 is prime if and only if the unique decomposition of N as a ...
Fateh Mustapha Dehmeche, Douadi Mihoubi, Lahcene Ladjelat   +2 more
doaj   +1 more source

Can EMG-Derived Upper Limb Muscle Synergies Serve as Markers for Post-Stroke Motor Assessment and Prediction of Rehabilitation Outcome?

Sensors
EMG-derived muscle synergy, as a representation of neuromotor modules utilized for motor control, has been proposed as a biomarker for stroke rehabilitation.
Fung Ting Kwok, Ruihuan Pan, Shanshan Ling, Cong Dong, Jodie J. Xie, Hongxia Chen, Vincent C. K. Cheung   +6 more
doaj   +1 more source

Factorizations in preduals associated to ρ-contractions

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
We establish directly factorization results for classes of ρ-contractions, corresponding to those obtained for certain classes of contractions. As an example of result which is not an immediate consequence of the fact that any ρ-contraction is similar to
Chevreau Bernard, Crăciunescu Aurelian
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Generalized U-factorization in Commutative Rings with Zero-Divisors

, 2013
Recently substantial progress has been made on generalized factorization techniques in integral domains, in particular $\tau$-factorization. There has also been advances made in investigating factorization in commutative rings with zero-divisors.
Mooney, Christopher Park
core   +1 more source