Results 51 to 60 of about 1,248 (191)

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

Mathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj   +1 more source

On the asymmetry, complexity and predicted data patterns of nontraditional item response theory models

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Traditional item response theory (IRT) models involve symmetric response probability functions, but a developing area of research has focused on asymmetric alternatives. To date, these studies have focused primarily on introducing new asymmetric models, detailing their mathematical formulations, explaining how to interpret their item ...
Hyejin Shim, Wes Bonifay
wiley   +1 more source

Parallel Vectors Extraction using Bézier Clipping

Computer Graphics Forum, EarlyView.
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley   +1 more source

Color‐Pure Organic Luminophores: Characteristics, Definitions, Physical Basis and Fundamental Design Principles

Angewandte Chemie, Volume 138, Issue 30, 20 July 2026.
Color‐pure all‐organic emitters, i.e., with narrow spectral characteristics, are intensively studied for high‐definition organic LEDs and multi‐color bioimaging. In order to guide targeted materials design, this educative review discusses spectral characteristics, proper definitions and units, and the physical basis of spectral broadening, to distill ...
Johannes Gierschner, Sunwu Song, Siyang Feng, Liangxuan Wang, Miguel Ródenas, Begoña Milián‐Medina, Min Sang Kwon   +6 more
wiley   +2 more sources

A New Generating Function for Hermite Polynomials

International Journal of Mathematics and Mathematical Sciences
This paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
doaj   +1 more source

Specification Tests for Jump‐Diffusion Models Based on the Characteristic Function

International Statistical Review, EarlyView.
Summary Goodness‐of‐fit tests are suggested for several popular jump‐diffusion processes. The suggested test statistics utilise the marginal characteristic function of the model and its L2‐type discrepancy from an empirical counterpart. Model parameters are estimated either by minimising the aforementioned L2‐type discrepancy or by maximum likelihood ...
Gerrit Lodewicus Grobler, Denis Belomestny, Simos George Meintanis, Emanuele Taufer   +3 more
wiley   +1 more source

Sleep and cardiac autonomic modulation in older adults: Insights from an at‐home study with auditory deep sleep stimulation

Journal of Sleep Research, Volume 34, Issue 2, April 2025.
Summary The autonomic nervous system regulates cardiovascular activity during sleep, likely impacting cardiovascular health. Aging, a primary cardiovascular risk factor, is associated with cardiac autonomic disbalance and diminished sleep slow waves. Therefore, slow waves may be linked to aging, autonomic activity and cardiovascular health. However, it
Stephanie Huwiler, M. Laura Ferster, Luzius Brogli, Reto Huber, Walter Karlen, Caroline Lustenberger   +5 more
wiley   +1 more source

Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials

Discrete Dynamics in Nature and Society, 2012
We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy   +2 more
doaj   +1 more source

Reinforcement Learning for Jump‐Diffusions, With Financial Applications

Mathematical Finance, EarlyView.
ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley   +1 more source

A Hermite Polynomial Approach for Solving the SIR Model of Epidemics

Mathematics, 2018
In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ODEs.
Aydin Secer, Neslihan Ozdemir, Mustafa Bayram   +2 more
doaj   +1 more source