Results 91 to 100 of about 6,739,211 (288)

A package on orthogonal polynomials and special functions

open access: yes, 1997
In many applications (hupergeometric-type) special functions like orthogonal polynomials are needed. For example in more than 50% of the published solutions for the (application-oriented) questions in the "Problems Section" of SIAM Review special functions occur.
openaire   +2 more sources

Mechanical Programming of PEGDA‐β‐CD Polyrotaxane‐Based Hydrogels via Host–Guest Molecular Recognition

open access: yesAdvanced Functional Materials, EarlyView.
A mechanically programmable hydrogel for tissue engineering is developed by modulating the molecular threading density of poly(ethylene glycol) diacrylate‐β‐cyclodextrin (PEGDA‐β‐CD) polyrotaxane and combining it with β‐CD‐modified gelatin. The polyrotaxane‐guided transition from disordered pores to laminar microstructures enables precise tuning ...
Shiyi Chen   +10 more
wiley   +1 more source

Unified Phase‐Field Framework for Antiferroelectric, Ferroelectric and Dielectric Phases: Application to HZO Thin Films

open access: yesAdvanced Functional Materials, EarlyView.
HfxZr1−xO2${\rm Hf}_x{\rm Zr}_{1-x}{\rm O}_2$ offers CMOS‐compatible nanoscale ferroelectricity yet suffers from a high Ec${\rm E}_c$ demanding large operating voltages. A unified phase‐field framework spanning AFE/FE/DE phases shows how FE grains soften neighboring AFE grains over λ$\lambda$ ≈$\approx$ 22–37 nm.
P. Pankaj   +4 more
wiley   +1 more source

n-Kernel orthogonal polynomials on the Dirichlet, Dirichlet-Multinomial, Poisson-Dirichlet and Ewens sampling distributions, and positive-definite sequences [PDF]

open access: yes, 2010
We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coe±cients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Spanò, Dario, Griffiths, Robert C.
core  

Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials [PDF]

open access: yes, 2011
Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Robert C. Griffiths   +3 more
core   +1 more source

Modal Analysis of Light Propagation, Polarization and Diffraction by Cholesteric Liquid Crystal Layers

open access: yesAdvanced Functional Materials, EarlyView.
The analysis of optical eigenmodes in chiral liquid crystal with perpendicular or tilted helical axis, and their correspondence with the external medium, leads to an intuitive understanding of the angle and wavelength dependency of transmissive and reflective diffraction.
Ke Xu   +5 more
wiley   +1 more source

Software for the Algorithmic Work with Orthogonal Polynomials and Special Functions

open access: yes, 1998
31 pages, 3 figures, Plenary Talk at the IWOP 98, Madrid, June 29-30 ...
openaire   +3 more sources

Advances in Solution‐Processed Textile Triboelectric Nanogenerators: Ink Formation, Processing Strategies, Applications, and Challenges

open access: yesAdvanced Functional Materials, EarlyView.
Advanced ink systems for solution‐processed textile triboelectric nanogenerators are systematically summarized, spanning conductive, tribo‐negative, and tribo‐positive layers. By connecting ink chemistry, deposition methods, and device function, the present review reveals the key governing principles of solution development and highlights practical ...
Xinlong Sun, Stephen Beeby
wiley   +1 more source

Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials [PDF]

open access: yesRadioengineering, 2018
A new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced.
G. Perenic   +3 more
doaj  

Autonomous Multi‐Objective Nanoscale Characterization of Combinatorial (Al, Sc, B)N Films Reveals Composition‐Dependent Ferroelectric Regimes

open access: yesAdvanced Functional Materials, EarlyView.
Autonomous scanning probe microscopy and multi‐objective Bayesian optimization navigate a ternary (Al,Sc,B)N combinatorial library. Registered photoluminescence, electron‐probe compositional mapping, and X‐ray diffraction connect local electromechanical function to defect‐sensitive emission, composition, and crystal structure.
Yu Liu   +12 more
wiley   +1 more source

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