General theory of difference equations

Results 91 to 100 of about 81,012 (245)

Does Long‐Term Lower Extremity Strength Training in Adults With Knee Osteoarthritis and Varus Alignment Reduce Knee Joint Loading During Gait?

Arthritis Care &Research, EarlyView.
Objective We examined whether 18 months of strength training in individuals with knee varus alignment and medial tibiofemoral osteoarthritis (OA) reduced knee joint loads during walking compared to an attention control group. Methods This study was a secondary analysis of a randomized clinical trial that compared the effects of strength training to a ...
Stephen P. Messier +12 more
wiley +1 more source

Cumulative Social Disadvantage and Disease Activity in Juvenile Idiopathic Arthritis: A Childhood Arthritis and Rheumatology Research Alliance Registry Study

Arthritis Care &Research, EarlyView.
Objective Social determinants of health (SDOH) contribute to juvenile idiopathic arthritis (JIA) disparities, but most studies have assessed SDOH independently rather than cumulatively across individual, family, and neighborhood levels. Using a socioecological framework, we investigated the relationship among cumulative social disadvantage ...
William Daniel Soulsby +448 more
wiley +1 more source

Generalization of Analytic Algebraic Finite Representation Theory to Differential Equations Unified Rank Correspondence Law and Geometric Classification of Differential Equations

Based on the theory of analytic algebraic finite representations, this paper systematically constructs an analytic algebraic classification system for differential equations, fully generalizing the period number theorem, the double spectrum theorem, and the unified rank correspondence law established in the case of algebraic equations to the field of ...
openaire +3 more sources

Associations of Rheumatoid Arthritis Disease Activity With Frailty Over Five Years of Follow‐up

Arthritis Care &Research, EarlyView.
Objective To evaluate whether rheumatoid arthritis (RA) disease activity is associated with frailty both in cross‐section and longitudinally. Methods Participants within the Veterans Affairs Rheumatoid Arthritis (VARA) registry enrolled from 2003 to 2022 were included.
Courtney N. Loecker +14 more
wiley +1 more source

A seventh order numerical method for singular perturbed differential-difference equations with negative shift

Nonlinear Analysis, 2011
In this paper, a seventh order numerical method is presented for solving singularly perturbed differential-difference equations with negative shift. In recent papers the term negative shift has been used for delay.
Kolloju Phaneendra, Y. N. Reddy, GBSL. Soujanya +2 more
doaj

Generalizations of the Fundamental Theorem of Algebra and Vieta's Theorem to Exterior Difference Equations: A Complete Theory with Rigorous Proofs

This paper systematically establishes the generalizations of the Fundamental Theorem of Algebra and Vieta's Theorem to exterior difference equations, which are the discrete analogs of exterior differential equations. First, for constant coefficient linear exterior difference equations, we introduce characteristic forms and the characteristic polynomial
openaire +2 more sources

Pain and Patient‐Reported Physical Function Did Not Differ Among Body Composition Profiles in Patients With Hip Osteoarthritis

Arthritis Care &Research, EarlyView.
Objective To explore whether higher body fat and lower lean mass are associated with greater pain and worse patient‐reported physical function in individuals with hip osteoarthritis (OA). A secondary aim was to examine whether pain and patient‐reported physical function differ according to four body composition profiles: high body fat, low lean mass ...
Alexandra Ryan +10 more
wiley +1 more source

Characteristics and Outcomes of Male Participants in a Multicenter Longitudinal Australian Study Cohort

Arthritis Care &Research, EarlyView.
Objective The aim of this study was to determine the differences in demographic, serologic, and clinical characteristics between male and female patients with systemic sclerosis (SSc) in an Australian cohort. Methods This was a retrospective observational study using data from the Australian Scleroderma Cohort Study.
Emily Lin +14 more
wiley +1 more source

Loop Quantum Cosmology

Living Reviews in Relativity, 2008
Quantum gravity is expected to be necessary in order to understand situations in which classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities, i.e., the fact that the backward evolution of a ...
Bojowald Martin
doaj

Obesity Subtypes and Longitudinal Trajectories of Function Over Seven Years of Follow‐Up: Data From the Multicenter Osteoarthritis Study

Arthritis Care &Research, EarlyView.
Objective Obesity, defined by body mass index (BMI) ≥30 kg/m2, is a risk factor for functional limitations in people with knee osteoarthritis (OA). However, function varies among such individuals. Our objective was to evaluate the implications of obesity subtypes on longitudinal patterns of physical functioning in people with or at risk for knee OA ...
Kristine Godziuk +7 more
wiley +1 more source

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