Results 71 to 80 of about 713,237 (306)

Evaluation of Some Sums of Polynomials in Fq[t]

Journal of Applied Mathematics, 2019
We prove the polynomial analogues of some Liouville identities from elementary number theory. Consequently several sums defined over the finite fields Fq[t] are evaluated by combining the results obtained and some of the results from sums of reciprocals ...
Adama Diene
doaj   +1 more source

Weak polynomial identities of small degree for the Weyl algebra [PDF]

In this paper we investigate weak polynomial identities for the Weyl algebra$\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, wedescribe weak polynomial identities of the minimal degree, which is three, andof degrees 4 and 5.
Tang, Liming, Palma, Carlos Arturo Rodriguez, Lopatin, Artem   +2 more
core   +1 more source

Parkinson Disease Subtype Stability and Eventual Convergence

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Previous research identified distinct Parkinson disease (PD) clinical subtypes of “Motor Only,” “Psychiatric & Motor,” and “Cognitive & Motor” based on comprehensive, multidomain classification. Whether these subtypes reflect distinct trajectories or progressive disease stages remains unknown.
Laura M. Rosok, Christina N. Lessov‐Schlaggar, Abdulmunaim M. Eid, Erin R. Foster, Baijayanta Maiti, Hailee Domash, Helen Hwang, Richard J. Perrin, Paul T. Kotzbauer, Joel S. Perlmutter, Meghan C. Campbell   +10 more
wiley   +1 more source

Derivations and Identities for Kravchuk Polynomials [PDF]

Ukrainian Mathematical Journal, 2014
We introduce the notion of Kravchuk derivations of the polynomial algebra. We prove that any element of the kernel of the derivation gives a polynomial identity satisfied by the Kravchuk polynomials. Also, we prove that any kernel element of the basic Weitzenbök derivations yields a polynomial identity satisfied by the Kravchuk polynomials. We describe
openaire   +2 more sources

Discordance Between Patient and Physician Global Assessments in Early Systemic Sclerosis

Arthritis Care &Research, EarlyView.
Objective This study aims to identify factors associated with patient global assessment (PtGA) and physician global assessment (PhGA) and discordance between them in systemic sclerosis (SSc). Methods Data from adults with early SSc (<5 years) from the Collaborative National Quality and Efficacy Registry were included.
Ellen Romich, Alexis Ogdie, Alisa Stephens Shields, Peter A. Merkel, Shervin Assassi, Elana J. Bernstein, Andreea Bujor, Flavia V. Castelino, Lorinda Chung, Luke B. Evnin, Tracy M. Frech, Jessica K. Gordon, Melissa Griffith, Faye N. Hant, Monica L. Harding, Laura K. Hummers, Dinesh Khanna, Kimberly S. Lakin, Dorota J. Lebiedz‐Odrobina, Yiming Luo, Ashima Makol, Maureen D. Mayes, Zsuzsanna H. McMahan, Jerry Molitor, Duncan F. Moore, Julie Paik, Carrie Richardson, Brian Skaug, Ami A. Shah, Ankoor Shah, Virginia Steen, John M. VanBuren, Elizabeth R. Volkmann, Carleigh Zahn, Nora Sandorfi, for the CONQUER Investigators   +35 more
wiley   +1 more source

Off-shell renormalization in the presence of dimension 6 derivative operators. Part III. Operator mixing and β functions

Journal of High Energy Physics, 2020
We evaluate the one-loop β functions of all dimension 6 parity-preserving op- erators in the Abelian Higgs-Kibble model. No on-shell restrictions are imposed; and the (generalized) non-polynomial field redefinitions arising at one-loop order are fully ...
D. Binosi, A. Quadri
doaj   +1 more source

Identities of Degenerate Poly-Changhee Polynomials Arising from λ-Sheffer Sequences

Journal of Mathematics, 2022
In the 1970s, Gian-Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim-Kim, umbral calculus is generalized called λ-umbral calculus.
Sang Jo Yun, Jin-Woo Park
doaj   +1 more source

Employment Trajectories of Patients With Systemic Lupus Erythematosus and Factors Driving Transitions Between States

Arthritis Care &Research, EarlyView.
Objective Systemic lupus erythematosus (SLE) significantly impacts employment capacity. This study aimed to investigate the impact of burden of disease activity, damage, and treatment on employment outcomes and transitions in patients with SLE. Methods Using data from a single center, we analyzed employment transitions, adjusted mean disease activity ...
Javier Mencia‐Ledo, Zahi Touma, Laura Whittall Garcia, Dafna D. Gladman, Behdin Nowrouzi‐Kia   +4 more
wiley   +1 more source

dynoGP: Deep Gaussian Processes for Dynamic System Identification

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli, Marco Forgione, Dario Piga, Marco Zaffalon   +3 more
wiley   +1 more source

Identities for generalized Euler polynomials [PDF]

Integral Transforms and Special Functions, 2014
For $N \in \mathbb{N}$, let $T_{N}$ be the Chebyshev polynomial of the first kind. Expressions for the sequence of numbers $p_{\ell}^{(N)}$, defined as the coefficients in the expansion of $1/T_{N}(1/z)$, are provided. These coefficients give formulas for the classical Euler polynomials in terms of the so-called generalized Euler polynomials.
Vignat, Christophe, Moll, Victor H., Jiu, Lin   +2 more
openaire   +3 more sources