Results 31 to 40 of about 49,024 (304)

Intersecting semi-disks and the synergy of three quadratic forms

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we study the Diophantine equation x2 = n2 + mn + np + 2mp with m, n, p, and x being natural numbers. This equation arises from a geometry problem and it leads to representations of primes by each of the three quadratic forms: a2 + b2, a2 +
Ionaşcu Andrew D.
doaj   +1 more source

On certain relations among the generating functions for certain quadratic forms [PDF]

Notes on Number Theory and Discrete Mathematics
The object of this article is to establish the relation between the generating function of the quadratic form 2m²+2mn+3n² and the generating functions for the quadratic forms m²+mn+n², m²+mn+2n², m²+mn+4n² and 2m²+mn+2n².
K. R. Vasuki, P. Nagendra
doaj   +1 more source

Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]

, 2005
Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
core   +1 more source

Biopsychosocial Determinants of Hand Function and Its Trajectories Over Five Years in Patients With Hand Osteoarthritis

Arthritis Care &Research, EarlyView.
Objective This study aimed to investigate hand function trajectories over five years in primary hand osteoarthritis (OA). Additionally, determinants of baseline and longitudinal hand function were assessed. Methods A total of 538 patients with both baseline and five‐year study visits were analyzed.
Annemiek V. E. M. Olde Meule, Coen van der Meulen, Jos Runhaar, Frits R. Rosendaal, Margreet Kloppenburg   +4 more
wiley   +1 more source

Enumeration of quadratic forms over totally real fields [PDF]

, 2012
Let F be a real quadratic field with OF its ring of integers. Let f be a quadratic form over F with discriminant D. Using Koecher Theory and the generalized Voronoï Algorithm, we show that there are finitely many quadratic forms with discriminant D over ...
Hamby, Paula J., NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

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

ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS

Проблемы анализа, 2016
In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with ...
E. L. Shishkina
doaj   +1 more source

Distribution of Quadratic Forms and Ratios of Quadratic Forms

The Annals of Mathematical Statistics, 1953
Let the random variable $X = (X_1, X_2, \cdots, X_n)$ have the probability density $p(x) = \frac{\det^{\frac{1}{2}} \Omega}{(2\pi)^{n/2}} e^{-\frac{1}{2}x\Omega x'}$ where $x\Omega x'$ is positive definite. The present article solves, by means of Laguerian expansions, the problem of finding the distribution of any nonnegative quadratic form $XPX'$.
openaire   +3 more sources

Discordance Between Systemic Lupus Erythematosus Disease Activity Index Domain Weights and Their Association With Organ Damage Accrual

Arthritis Care &Research, EarlyView.
Objective Studies of damage accrual in patients with systemic lupus erythematosus (SLE) show associations with disease activity measured by the SLE Disease Activity Index 2000 (SLEDAI‐2K), but these associations are imperfect. SLEDAI scores are powerfully influenced by weightings (1–8) assigned to each domain.
Kevin Zhang, Eric F. Morand, Sarah E. Boyd, François Petitjean, Alberta Hoi, Rachel Koelmeyer, Iolanda Miceli, Julie A. Monk, Hieu T. Nim   +8 more
wiley   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source