Results 121 to 130 of about 128,877 (315)
Journal of Orthopaedic Research, EarlyView.ABSTRACT Rotator cuff disorders are common in the aging population, often leading to pain, disability, and reduced quality of life. Age‐associated changes can occur disproportionately in regions of high mechanical stress, such as the insertion site of the supraspinatus tendon, leading to increased injury rates and tendinopathies.
Michael S. DiStefano +6 more
wiley +1 more source
Journal of Advanced Research, 2010 Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn ...
Eid H. Doha, Hany M. Ahmed
doaj +1 more source
Orbital Angular Momentum Holography Using Neural Network and Camera in the Loop
Laser &Photonics Reviews, EarlyView.Neural network and optimization‐based approaches are introduced for Orbital Angular Momentum (OAM) multiplexed holography, enabling high‐capacity, phase‐only image reconstruction. A Camera‐In‐The‐Loop (CITL) system learns a realistic propagation model to correct system imperfections.
Nima Asoudegi, Mo Mojahedi
wiley +1 more source
Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, EarlyView.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
Discrete Entropies of Chebyshev Polynomials
MathematicsBecause of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu +2 more
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan +3 more
wiley +1 more source
On the spectrum of tridiagonal matrices with two-periodic main diagonal
Special MatricesWe find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
doaj +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Satoshi Tsujimoto, Alexei Zhedanov
doaj +1 more source
, 2002 We compute the pointwise asymptotics of orthogonal polynomials with respect to a general class of pure point measures supported on finite sets as both the number of nodes of the measure and also the degree of the orthogonal polynomials become large.
Baik, Jinho +3 more
core +1 more source
Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality [PDF]
, 2011 We introduce the -1 dual Hahn polynomials through an appropriate $q \to -1$ limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete points on the real axis, but in contrast to the classical orthogonal ...
Tsujimoto, Satoshi +2 more
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