Results 71 to 80 of about 8,973,715 (361)

Polynomial configurations in difference sets

Journal of Number Theory, 2009
AbstractWe prove a quantitative result on the existence of linearly independent polynomial configurations in the difference set of sparse subsets of the integers. This result is achieved by first establishing a higher dimensional analogue of a theorem of Sárközy and then applying a simple lifting argument.
Akos Magyar, Neil Lyall
openaire   +2 more sources

Some homogeneous q-difference operators and the associated generalized Hahn polynomials [PDF]

Applied Set-Valued Analysis and Optimization, 2019
In this paper, we first construct the homogeneous $q$-shift operator $\widetilde{E}(a,b;D_{q})$ and the homogeneous $q$-difference operator $\widetilde{L}(a,b; \theta_{xy})$. We then apply these operators in order to represent and investigate generalized
H. Srivastava, S. Arjika, A. Kelil
semanticscholar   +1 more source

Impact of respiratory motion on dose distribution in SIB‐SBRT for lung cancer

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose Respiratory motion is a major source of dose uncertainty in lung cancer radiotherapy. The dose distribution of simultaneous integrated boost‐stereotactic body radiotherapy (SIB‐SBRT) is inhomogeneous and is significantly impacted by respiratory motion for lung cancer. The effect of respiratory motion on SIB‐SBRT was investigated with a
Lingling Liu, Zhenle Fei, Jie Li, Jiong Shu, Jingyuan Shao, Jianguang Zhang, Xiangli Cui, Hongzhi Wang   +7 more
wiley   +1 more source

Uniqueness of Meromorphic Functions Concerning the Difference Polynomials

, 2015
In this article, we main study the uniqueness problem of meromorphic function which difference polynomials sharing common values. We consider the entire function and the meromorphic function to get the main results which extend Theorem 1.1 in paper[5 ...
Fanghong Liu, Hongxun Yi
semanticscholar   +1 more source

The Impact of Diabetes and Metabolic Syndrome Burden on Pain, Neuropathy Severity and Fiber Type

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Determine the association between diabetes and metabolic syndrome (MetS) burden (number of MetS criteria fulfilled) and pain, neuropathy severity, and fiber type involvement in individuals with established polyneuropathy. Methods The Peripheral Neuropathy Research Registry was queried for individuals with type 1 and type 2 diabetes ...
Long Davalos, Brian C. Callaghan, Lavanya Muthukumar, Simone Thomas, Evan L. Reynolds, A. Gordon Smith, J. Robinson Singleton, Ahmet Höke, Senda Ajroud‐Driss, Mazen M. Dimachkie, Stefanie Geisler, David M. Simpson, PNRR Study Group, Amro M. Stino   +13 more
wiley   +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

Detecting rs‐fMRI Networks in Disorders of Consciousness: Improving Clinical Interpretability

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Preserved resting‐state functional MRI (rs‐fMRI) networks are typically observed in Disorders of Consciousness (DOC). Despite the widespread use of rs‐fMRI in DOC, a systematic assessment of networks is needed to improve the interpretability of data in clinical practice.
Jean Paul Medina Carrion, Mario Stanziano, Ludovico D'Incerti, Davide Sattin, Stefania Ferraro, Davide Rossi Sebastiano, Francesca Giulia Magnani, Alice Deruti, Davide Fedeli, Ludovico Minati, Francesca Epifani, Marina Grisoli, Matilde Leonardi, Maria Grazia Bruzzone, Anna Nigri, Cristina Rosazza   +15 more
wiley   +1 more source

Difference dimension quasi-polynomials

Advances in Applied Mathematics, 2017
We consider Hilbert-type functions associated with difference (not necessarily inversive) field extensions and systems of algebraic difference equations in the case when the translations are assigned some integer weights. We will show that such functions are quasi-polynomials, which can be represented as alternative sums of Ehrhart quasi-polynomials ...
openaire   +3 more sources

Polynomial solutions of differential–difference equations

Journal of Approximation Theory, 2011
We investigate the zeros of polynomial solutions to the differential-difference equation \[ P_{n+1}(x)=A_{n}(x)P_{n}^{\prime}(x)+B_{n}(x)P_{n}(x), n=0,1,... \] where $A_{n}$ and $B_{n}$ are polynomials of degree at most 2 and 1 respectively. We address the question of when the zeros are real and simple and whether the zeros of polynomials of adjacent ...
Dominici, Diego, Driver, Kathy (Cathryn Helena Stanford), Jordaan, Kerstin Heidrun   +2 more
openaire   +4 more sources

Sequence Analysis to Phenotype Health Care Patterns in Adults With Musculoskeletal Conditions Using Primary Care Electronic Health Records

Arthritis Care &Research, EarlyView.
Objective The aim of this study was to apply sequence analysis (SA) to phenotype health care patterns of adult patients with musculoskeletal (MSK) conditions using primary care electronic health records and to investigate the association between these health care patterns and patients’ self‐reported outcomes after consultation.
Smitha Mathew, George Peat, Emma Parry, Ross Wilkie, Kelvin P. Jordan, Jonathan C. Hill, Dahai Yu   +6 more
wiley   +1 more source