Results 111 to 120 of about 71,879 (309)

A Discrete Cramér–Von Mises Statistic Related to Hahn Polynomials with Application to Goodness-of-Fit Testing for Hypergeometric Distributions

Axioms
We give the Karhunen–Loève expansion of the covariance function of a family of discrete weighted Brownian bridges, appearing as discrete analogues of continuous Gaussian processes related to Cramér –von Mises and Anderson–Darling statistics. This analogy
Jean-Renaud Pycke
doaj   +1 more source

Compact Spectral Imaging: A Review of Miniaturized and Integrated Systems

Laser &Photonics Reviews, EarlyView.
This review explores the rapid shift toward compact spectral imaging systems by examining four key design paradigms: Do‐It‐Yourself (DIY) platforms, freeform optics, filter‐on‐chip integration, and multifunctional metasurfaces. The discussion highlights critical applications in medicine, agriculture, and environmental monitoring, providing comparative ...
Sani Mukhtar, Amir Arbabi, Jaime Viegas
wiley   +1 more source

Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as elliptic solutions of the discrete-time Toda chain as well.
Satoshi Tsujimoto, Alexei Zhedanov
doaj   +1 more source

Orthogonal polynomials with discrete spectra on the real line

Journal of Approximation Theory, 1984
\(\{\) \(P_ n(x)\}\) is a sequence of polynomials, orthogonal w.r.t. a distribution function \(\psi\) (x) with support S(\(\psi)\), and satisfying \(P_ n=(x-c_ n)P_{n-1}-\lambda_ nP_{n-2},\quad P_{-1}\equiv 0,\quad P_ 0\equiv 1,\quad c_ n\in {\mathbb{R}},\) \(\lambda_ n>0\), for all n. Let \(\{x_{n,1}\}^ n_{i=1}\) be the (simple real) zeros of \(P_ n\)
openaire   +3 more sources

Optimization Study on Battery Thermal Management System With Coupled Air and Microchannel Liquid Cooling Strategy

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Because of the surging demand for clean energy, the performance and safety of lithium‐ion batteries (LIBs) for energy storage and conversion have received much attention. This study presents a battery thermal management system (BTMS) that combines air cooling with microchannel liquid cooling.
Xiaolu Yuan, Xintian Xu, Chenghui Qiu, Zhuo Zeng, Yufei Cai   +4 more
wiley   +1 more source

Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations [PDF]

, 2013
We introduce the concept of $\D$-operators associated to a sequence of polynomials $(p_n)_n$ and an algebra $\A$ of operators acting in the linear space of polynomials.
Durán, Antonio J.
core  

Transient Dynamic Analysis of Piezoelectric Solids by the Spectral Integrated Neural Networks With Large Time Steps

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study presents a novel neural network architecture called spectral integrated neural networks (SINNs), which combines physics‐informed neural networks (PINNs) with time‐spectral integration techniques to efficiently solve two‐ and three‐dimensional dynamic piezoelectric problems.
Zijie Song, Haodong Ma, Wenzhen Qu, Yan Gu   +3 more
wiley   +1 more source

Numerical Simulation of Three‐Dimensional Unsteady Extrudate Swell Through Annular Dies: Effects of Die Core Opening Position and Sag on Parison Formation

Polymer Engineering &Science, EarlyView.
Study on transient parison formation at various strokes during extrusion of Newtonian and viscoelastic fluids. In the presence of an offset between the mandrel and the bushing, Newtonian fluids exhibit a reduction in extrudate diameter, whereas viscoelastic fluids display diameter swelling only at flow rates exceeding a critical threshold.
Kalonji K. Kabanemi, Jean‐Philippe Marcotte, Florin Ilinca   +2 more
wiley   +1 more source

The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q is the Hahn's operator.
Abdallah Ghressi, Lotfi Khériji
doaj   +1 more source

Multi‐Parameter Design of Experiments and Process–Performance Mapping for Flexural Optimization in Three‐Dimensional Printed Polyethylene Terephthalate Glycol

Polymer Engineering &Science, EarlyView.
Taguchi‐based optimization and validation of flexural performance in FDM‐printed PETG through experimental testing and process‐response mapping. ABSTRACT This study investigates the influence of key process parameters on the flexural performance of 3D‐printed PETG components fabricated via Fused Deposition Modeling (FDM). A Taguchi L18 orthogonal array
Stelios K. Georgantzinos, Grigorios Kostopoulos   +1 more
wiley   +1 more source