Results 101 to 110 of about 45,130 (244)

Generalized Bochner theorem: Characterization of the Askey–Wilson polynomials

Journal of Computational and Applied Mathematics, 2006
Assume that there is a set of monic polynomials $P_n(z)$ satisfying the second-order difference equation $$ A(s) P_n(z(s+1)) + B(s) P_n(z(s)) + C(s) P_n(z(s-1)) = _n P_n(z(s)), n=0,1,2,..., N$$ where $z(s), A(s), B(s), C(s)$ are some functions of the discrete argument $s$ and $N$ may be either finite or infinite. The irreducibility condition $A(s-1)C(
Luc Vinet, Alexei Zhedanov
openalex   +4 more sources

Effects of nitrogen deposition on territory numbers of breeding birds

Conservation Biology, EarlyView.
Abstract Deposition of atmospheric N (nitrogen) is assumed to be a major cause of biodiversity decline in Europe. To date, few studies on the direct or indirect effects of N on bird species have been conducted. Using Swiss bird count data and habitat data, we analyzed the correlation of N deposition with numbers of territories of 112 breeding bird ...
Kim Meichtry‐Stier, Pius Korner, Simon Birrer, Peter Knaus   +3 more
wiley   +1 more source

Parametric Bootstrap Mantel‐Haenszel Statistic for Aggregated Testlet Effects

Journal of Educational Measurement, EarlyView.
Abstract While testlets have proven useful for assessing complex skills, the stem shared by multiple items often induces correlations between responses, leading to violations of local independence (LI), which can result in biased parameter and ability estimates.
Youn Seon Lim
wiley   +1 more source

Dressing bulk fields in AdS3

Journal of High Energy Physics, 2020
We study a set of CFT operators suitable for reconstructing a charged bulk scalar field ϕ in AdS3 (dual to an operator O $$ \mathcal{O} $$ of dimension ∆ in the CFT) in the presence of a conserved spin-n current in the CFT.
Daniel Kabat, Gilad Lifschytz
doaj   +1 more source

$q$-Classical orthogonal polynomials: A general difference calculus approach

, 2009
It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator.
A.F. Nikiforov, A.F. Nikiforov, A.G. García, E. Routh, F. Marcellán, F. Marcellán, G.E. Andrews, J.C. Medem, M. Alfaro, N.J. Fine, N.Ja. Vilenkin, N.M. Atakishiev, N.M. Atakishiev, N.M. Atakishiyev, R. Askey, R. S. Costas-Santos, R. Álvarez-Nodarse, R. Álvarez-Nodarse, R. Álvarez-Nodarse, R. Álvarez-Nodarse, Sh.M. Nagiyev, T.H. Koornwinder, T.H. Koornwinder, T.H. Koornwinder, T.S. Chihara, W. Hahn, W.A. Al-Salam   +26 more
core   +4 more sources

A Topic Testlet Model for Calibrating Testlet Constructed Responses

Journal of Educational Measurement, EarlyView.
Abstract Constructed responses (CRs) within testlets are widely used to assess complex skills but can pose calibration challenges due to local item dependence. A few current testlet models incorporate testlet‐specific effects to address local dependence but struggle with interpreting these effects and may not fully capture the complexities of CR items ...
Jiawei Xiong, Huan (Hailey) Kuang, Cheng Tang, Qidi Liu, Bowen Wang, George Engelhard Jr., Allan S. Cohen, Xinhui (Maggie) Xiong, Rufei Sheng   +8 more
wiley   +1 more source

Exact correlators on the Wilson loop in N = 4 $$ \mathcal{N}=4 $$ SYM: localization, defect CFT, and integrability

Journal of High Energy Physics, 2018
We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in N = 4 $$ \mathcal{N}=4 $$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization.
Simone Giombi, Shota Komatsu
doaj   +1 more source

Growth strategies across life‐history stages and generational turnover of cryptobenthic coral reef fishes of the genus Trimma

Journal of Fish Biology, EarlyView.
Abstract Somatic growth influences survival and reproduction, with flow‐on effects on population dynamics and energy fluxes within ecosystems. Small‐bodied cryptobenthic reef fishes may contribute significantly to productivity due to their life‐history traits, including growth rates and rapid generational turnover.
Nisha C. Goldsworthy, Maya Srinivasan, Patrick Smallhorn‐West, Geoffrey P. Jones   +3 more
wiley   +1 more source

Coexistence in Sympatry With Gene Flow Before Speciation Has Completed

Molecular Ecology, EarlyView.
ABSTRACT Incipient species often coexist in sympatry before complete reproductive isolation has evolved between them. How do they persist in the face of hybridization and gene flow? The challenge is more acute than ordinary ecological coexistence not only because gene flow erodes and recombines genetic differences, but also because selection against ...
Dolph Schluter, Thor Veen, Ken A. Thompson, Greg L. Owens, Diana J. Rennison   +4 more
wiley   +1 more source

The role of ecoacoustics in monitoring ecosystem degradation and restoration

Restoration Ecology, EarlyView.
Ecoacoustic approaches are increasingly being used to monitor biodiversity, having emerged as a promising tool for monitoring ecosystem degradation and restoration in the last two decades. Despite the growth, their application in monitoring animal populations in changing ecosystems remains underutilized.
Consolata Gitau, Esther Kettel, Carlos Abrahams, Paul W. Webala, Antonio Uzal   +4 more
wiley   +1 more source