Results 61 to 70 of about 693,995 (304)

Polynomial identities in nil-algebras [PDF]

Transactions of the American Mathematical Society, 2009
A polynomial identity is called `Specht' if every system containing this identity has a finite basis. By a theorem of Kemer, over a field of characteristic 0, every system of polynomial identities of associative algebras is finitely based. Recently, Belov, Grishin and Shchigolev proved that over a field of prime characteristic \(p>0\) there are non ...
Aladova, Elena V., Krasilnikov, Alexei N.   +1 more
openaire   +2 more sources

Factors Associated With the Rising Trend in Self‐Reported Cognitive Disability Among U.S. Adults Aged 18–39 From 2013–2024

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Building on our prior Behavioral Risk Factor Surveillance System analysis identifying adults aged 18–39 as the primary driver of the national increase in self‐reported cognitive disability, we examined factors associated with this rise using 2013–2024 U.S. BRFSS data. Methods We analyzed U.S.
Adam de Havenon, Ka‐Ho Wong, Mirriam Mananah, Christopher D. Anderson, Ada Fenick, Amy Arnsten, Arman Fesharaki‐Zadeh, James C. McPartland, Mary L. Adams, Kevin N. Sheth   +9 more
wiley   +1 more source

Polynomial Identities for Binomial Sums of Harmonic Numbers of Higher Order

Mathematics
We study the formulas for binomial sums of harmonic numbers of higher order ∑k=0nHk(r)nk(1−q)kqn−k=Hn(r)−∑j=1nDr(n,j)qjj. Recently, Mneimneh proved that D1(n,j)=1. In this paper, we find several different expressions of Dr(n,j) for r≥1.
Takao Komatsu, B. Sury
doaj   +1 more source

Square-rich fixed point polynomial evaluation on FPGAs [PDF]

, 2014
Polynomial evaluation is important across a wide range of application domains, so significant work has been done on accelerating its computation. The conventional algorithm, referred to as Horner's rule, involves the least number of steps but can lead to
McLoughlin, Ian V., Suhaib A. Fahmy, Xu, Simin, Fahmy, Suhaib A., Ian V. McLoughlin, Simin Xu   +5 more
core   +1 more source

Long‐Term Neurologic Exam Findings in People Diagnosed and Treated During Acute HIV Infection

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Evaluate clinical and laboratory correlates of abnormal neurologic exam findings after acute HIV infection (AHI). Methods Participants from the RV254/SEARCH 010 cohort in Bangkok underwent standardized neurologic examinations at Weeks 0 (AHI), 12, 96, and 288 following antiretroviral therapy (ART).
Kathryn B. Holroyd, Tyler Hamby, Carlo Sacdalan, Somchai Sriplienchan, Pathariya Promensa, Luxenaree Poonpitak, Netsiri Dumrongpisutikul, Eugène Kroon, Sandhya Vasan, Robert Paul, Ferron O'Campo, Lydie Trautmann, Phillip Chan, Serena Spudich, on behalf of the RV254/SEARCH 010 Study Team, Julie Ake, Sandhya Vasan, Lydie Trautmann, Merlin Robb, Trevor Crowell, Donn Colby, Diane Bolton, Shelly Krebs, Leigh Ann Eller, Morgane Rolland, Rasmi Thomas, Dominic Paquin Proulx, Suteeraporn Pinyakorn, Tyler Hamby, Mark de Souza, Ellen Turk, Amber Moodley, Gerald Quarles, Jintanat Ananworanich, Denise Hsu, Victoria Polonis, Nelson Michael, Sheila Peel, COL Eric Garges, Alexandra Schuetz, Siriwat Akapirat, Bessara Nantapinit, Pornsuk Visudhiphan, Saowanit Getchalarat, Nampueng Churikanont, Sangsulee Thamakaison, Somchai Sriplienchan, Carlo Sacdalan, Pathariya Promsena, Luxe‐naree Poonpitak, Eugene Kroon, Nitiya Chomchey, Jintana Intasan, Varaporn Pothipala, Ferron Ocampo, Nittaya Phanuphak, Nipat Teeratakulpisan, Yuwaree Pichitchok, Anchalee Avihingsanon, Opass Putcharoen, Kiat Ruxrungtham, Thanyawee Puthanakit, Sopark Manasnayakorn, Phandee Watanaboonyongcharoen, Rungsun Rerknimitr, Irini Sereti, Daniel Douek, Eli Bortiz, Frank Maldarelli, Mary Kearney, Serena Spudich, Phillip Chan, Lishomwa Ndhlovu, Guinevere Li, Michael Corley, Victor Valcour, Peter Hunt, Jacob Estes, Afam Okoye, Jeff Lifson, Claire Deleage, Nicolas Chomont, Andres Finzi, Lyle McKinnon, Henrik Zetterberg, Robert Siliciano, Robert Paul, Julie Mannarino, Jonathan Li, John Mellors, Josh Cytkor, Dan Barouch, Michael Seaman, Boris Juelg, Alex Shalek, Timothy Schacker, Ashley Haase, Mario Stevenson, Wenjun Li, Arthur Kim, Sharon Lewin, Adam Carrico, Susana Valente, Fred Hutchinson, Josh Schiffer, Guido Ferrari, Beau Ances, Alberto Bosque, Katharine Bar, Killian Pohl, David Ho, Yaoxing Huang, Michael Busch, Mohamed Abdel‐Mohsen, Johanna Gostner, Brian Agan, Fatah Kashanchi, Greg Laird, Kathryn Holroyd   +118 more
wiley   +1 more source

A two-variable approach to solve the polynomial Lyapunov equation

, 2001
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
core   +2 more sources

General identities on Bell polynomials

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiping Wang 0004, Tian-ming Wang
openaire   +2 more sources

Trace identities and polynomial identities of n × n matrices [PDF]

, 1976
A simple criterion for trace identities of n × n matrices over a commutative ring is given, from which the Procesi-Razmyslov criterion in terms of Young symmetrizers is deduced.
Leron, Uri
core   +1 more source

CSF Cytokine Network Organization Predicts Progression Independent of Relapse and MRI Activity in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Progression independent of relapse activity is a major determinant of long‐term disability in multiple sclerosis, but its immunopathologic basis remains incompletely understood. We investigated whether relapse‐independent progression in radiologically stable relapsing–remitting multiple sclerosis is associated with distinct ...
Antonio Bruno, Matteo Conti, Ettore Dolcetti, Federica Azzolini, Angela Borrelli, Roberta Fantozzi, Mario Stampanoni Bassi, Giovanni Galifi, Giuseppe Maccarrone, Luca Montaguti, Marco Cervigni, Maddalena Dal Pozzo, Roberto Furlan, Annamaria Finardi, Girolama Alessandra Marfia, Marco Salvetti, Antonella Conte, Fabio Buttari, Diego Centonze, Luana Gilio   +19 more
wiley   +1 more source

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