Results 91 to 100 of about 6,739,211 (288)
A package on orthogonal polynomials and special functions
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
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
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]
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]
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
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
31 pages, 3 figures, Plenary Talk at the IWOP 98, Madrid, June 29-30 ...
openaire +3 more sources
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]
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 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

