Results 91 to 100 of about 561,686 (251)

A Hahn-Banach theorem for integral polynomials [PDF]

Proceedings of the American Mathematical Society, 1999
Summary: We study the problem of extendibility of polynomials over Banach spaces: when can a polynomial defined over a Banach space be extended to a polynomial over any larger Banach space? To this end, we identify all spaces of polynomials as the topological duals of a space \(S\) spanned by evaluations, with Hausdorff locally convex topologies.
Carando, Daniel, Zalduendo, Ignacio
openaire   +2 more sources

Comparing Outcomes for Telehealth Versus In‐Person Family‐Based Treatment: A Retrospective Chart Review

International Journal of Eating Disorders, Volume 58, Issue 11, Page 2090-2104, November 2025.
ABSTRACT Objective Telehealth services have become part of many eating disorder (ED) treatment settings; yet, few studies have examined the effectiveness of family‐based treatment (FBT) delivered via telehealth. This study compared in‐person and telehealth FBT in rates of weight restoration, treatment completion, and metrics of treatment progress, and ...
Catherine R. Drury, Simar Singh, Michael Manzano, Sasha Gorrell, Erin E. Reilly, Michelle Odette, Erin C. Accurso, Leigh Brosof, Lindsey Bruett, Sarah Forsberg, Verena Haas, Lisa Hail, Kathryn M. Huryk, Jessica Keyser, Rachel Kramer, Naomi Lynch, Stuart B. Murray, Rachel M. Radin, Justine Underhill, Kianna Zucker, Daniel Le Grange   +20 more
wiley   +1 more source

Toward Personalized Neuroscience: Evaluating Individual‐Level Information in Neural Mass Models

Human Brain Mapping, Volume 46, Issue 16, November 2025.
Leveraging a differentiable reduced Wong Wang model, we optimized individual whole‐brain models for a large cohort (n = 1444) using rs‐fMRI, achieving up to 56% variance explanation. However, we found that current neural mass models, despite replicating resting‐state dynamics, lack the granularity to effectively model individual‐specific neural ...
Carlotta B. C. Barkhau, Clemens Pellengahr, Zheng Wang, Lukas Fisch, Ramona Leenings, Nils R. Winter, Jan Ernsting, Maximilian Konowski, Dominik Grotegerd, Susanne Meinert, Julia M. Hubbert, Judith Krieger, Tiana Borgers, Kira Flinkenflügel, Elisabeth J. Leehr, Frederike Stein, Florian Thomas‐Odenthal, Paula Usemann, Lea Teutenberg, Igor Nenadic, Benjamin Straube, Nina Alexander, Andreas Jansen, Christian Porschen, Tilo Kircher, John D. Griffiths, Hamidreza Jamalabadi, Udo Dannlowski, Tim Hahn   +28 more
wiley   +1 more source

Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials

, 2019
Via the solutions of systems of algebraic equations of Bethe Ansatz type, we arrive at bounds for the zeros of orthogonal (basic) hypergeometric polynomials belonging to the Askey-Wilson, Wilson and continuous Hahn families.Comment: 21 pages ...
Emsiz, E., van Diejen, J. F.
core   +1 more source

A difference equation and Hahn polynomials in two variables [PDF]

Pacific Journal of Mathematics, 1981
The space of polynomials in N variables spanned by squarefree monomials of degree r and annihilated by Σ?=ιd/dXi furnishes an irreducible representation of SN, the symmetric group on N objects. The elements of this space, which are invariant under permutations leaving the sets {xu •••, xa} and {xa+u •••> Xa+b} (a + b < N) fixed, correspond to solutions
openaire   +3 more sources

Exact analytical solutions of the Bloch equation for the hyperbolic‐secant and chirp pulses

Magnetic Resonance in Medicine, Volume 94, Issue 5, Page 2140-2149, November 2025.
Abstract Purpose To improve the accuracy and generality of analytical solutions of the Bloch equation for the hyperbolic‐secant (HS1) and chirp pulses in order to facilitate application to truncated and composite pulses and use in quantitative methods.
Ryan H. B. Smith, Donald Garwood, Michael Garwood   +2 more
wiley   +1 more source

The Hahn Quantum System

, 2017
Using a formulation of quantum mechanics based on the theory of orthogonal polynomials, we introduce a four-parameter system associated with the Hahn and continuous Hahn polynomials.
Alhaidari, A D, Li, Y. -T.
core  

LU factorizations, q=0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials

, 2006
For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q=0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations.
A. Okounkov, C. Krattenthaler, C.F. Dunkl, H.T. Koelink, I.G. Macdonald, K.T. Andrews, K.T. Andrews, L. Carlitz, M. Voit, P. Terwilliger, P. Terwilliger, P. Terwilliger, T.H. Koornwinder, Tom H. Koornwinder, U. Onn, Uri Onn, W. Groenevelt   +16 more
core   +2 more sources

Association of Race and Social Determinants of Health With Exacerbations in Generalized Myasthenia Gravis

Muscle &Nerve, Volume 72, Issue 5, Page 1143-1151, November 2025.
This retrospective cohort study identified potential racial/ethnic disparities in the occurrence of MG exacerbations. Black patients had a significantly higher risk of MG exacerbations versus White patients (IRR 1.21; 95% CI 1.05‐1.39). The association remained after controlling for income and/or health insurance coverage.
Louis Jackson, Zhiwen Liu, Jacqueline Pesa, Alicia K. Campbell, Ashley E. L. Anderson   +4 more
wiley   +1 more source

On the spectrum of tridiagonal matrices with two-periodic main diagonal

Special Matrices
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
doaj   +1 more source