Results 51 to 60 of about 230,209 (328)

Digital Activity Markers in Chronic Inflammatory Demyelinating Polyneuropathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To evaluate the utility of smartwatch and smartphone‐based activity metrics for assessing disease severity and quality of life in patients with chronic inflammatory demyelinating polyneuropathy (CIDP). Methods In the electronic monitoring of disease activity in patients with CIDP (EMDA‐CIDP) trial, we performed a prospective ...
Lars Masanneck, Jan Voth, Noëmi Gmahl, Konstantin Jendretzky, Niklas Huntemann, Noah M. Werner, Linea Schmidt, Menekse Oeztuerk, Paula Quint, Christina B. Schroeter, Hans Peter Hartung, Thomas Skripuletz, Gerd Meyer zu Hörste, Tobias Ruck, Sven G. Meuth, Marc Pawlitzki   +15 more
wiley   +1 more source

On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter

Mathematics, 2019
We firstly consider the fully degenerate Gould⁻Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula.
Ugur Duran, Patrick Njionou Sadjang
doaj   +1 more source

A note on generalized q-difference equations for general Al-Salam–Carlitz polynomials

Advances in Difference Equations, 2020
In this paper, we deduce the generalized q-difference equations for general Al-Salam–Carlitz polynomials and generalize Arjika’s recent results (Arjika in J. Differ. Equ. Appl. 26:987–999, 2020).
Jian Cao, Binbin Xu, Sama Arjika
doaj   +1 more source

A generalized Macdonald operator

, 2010
We present an explicit difference operator diagonalized by the Macdonald polynomials associated with an (arbitrary) admissible pair of irreducible reduced crystallographic root systems.
Baratta, Bourbaki, E. Emsiz, J. F. van Diejen, Komori, Lassalle, Lassalle, Macdonald, Macdonald, Stembridge, Stembridge, van Diejen, van Diejen, van Diejen, van Diejen   +14 more
core   +1 more source

Heterogeneity of Rheumatoid Arthritis‐Associated Interstitial Lung Disease by Longitudinal Forced Vital Capacity Trajectory and Associations with Disease Outcomes

Arthritis Care &Research, Accepted Article.
Objective We aimed to identify unique disease trajectories within rheumatoid arthritis‐associated interstitial lung disease (RA‐ILD) based on longitudinal forced vital capacity (FVC) values and their associated clinical outcomes. Methods We performed a cohort study of RA‐ILD within the Veterans Health Administration from 1999‐2021. RA‐ILD patients were
Bryant R. England, Yangyuna Yang, Punyasha Roul, Tate M. Johnson, Scott M. Matson, Grant W. Cannon, Brian C. Sauer, Jeffrey R. Curtis, Joshua F. Baker, Ted R. Mikuls   +9 more
wiley   +1 more source

The Zeros of Difference Polynomials of Meromorphic Functions

Abstract and Applied Analysis, 2012
We investigate the value distributions of difference polynomials Δf(z)-af(z)n and f(z)nf(z+c) which related to two well-known differential polynomials, where f(z) is a meromorphic function.
Junfeng Xu, Xiaobin Zhang
doaj   +1 more source

Value Distribution of Certain Type of Difference Polynomials

Abstract and Applied Analysis, 2014
We investigate the value distribution of difference product f(z)n∑i=1k‍aif(z+ci), for n≥2 and n=1, respectively, where f(z) is a transcendental entire function of finite order and ai,ci are constants satisfying ∑i=1k‍aif(z+ci)≢0.
Nan Li, Lianzhong Yang
doaj   +1 more source

Lie-algebraic discretization of differential equations

, 1995
A certain representation for the Heisenberg algebra in finite-difference operators is established. The Lie-algebraic procedure of discretization of differential equations with isospectral property is proposed. Using $sl_2$-algebra based approach, (quasi)-
Smirnov, Yuri, Turbiner, Alexander
core   +1 more source

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

International Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez, Mauro Gaggero, Andrea Serani   +2 more
wiley   +1 more source

Decomposition of ordinary difference polynomials

Journal of Symbolic Computation, 2009
AbstractIn this paper, we present an algorithm to decompose ordinary non-linear difference polynomials with rational functions as coefficients. The algorithm provides an effective reduction of the decomposition of difference polynomials to the decomposition of linear difference polynomials over the same coefficient field.
Mingbo Zhang, Xiao-Shan Gao
openaire   +2 more sources