Results 61 to 70 of about 79,949 (254)
Agribusiness, EarlyView.ABSTRACT Vending is an important sector in the daily lives of many people, and coffee is the most frequently consumed product in the European market. Like many other sectors, vending is responding to the challenge of sustainable development by taking various actions, such as offering increasingly ecologically sound coffee while maintaining/improving ...
Alberto Bertossi +2 more
wiley +1 more source
The Laguerre Constellation of Classical Orthogonal Polynomials
MathematicsA linear functional u is classical if there exist polynomials ϕ and ψ with degϕ≤2 and degψ=1 such that Dϕ(x)u=ψ(x)u, where D is a certain differential, or difference, operator. The polynomials orthogonal with respect to the linear functional u are called
Roberto S. Costas-Santos
doaj +1 more source
A characterization of the four Chebyshev orthogonal families
International Journal of Mathematics and Mathematical Sciences, 2005 We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa +2 more
doaj +1 more source
New connection formulae for the q-orthogonal polynomials via a series expansion of the q-exponential
, 2006 Using a realization of the q-exponential function as an infinite multiplicative sereis of the ordinary exponential functions we obtain new nonlinear connection formulae of the q-orthogonal polynomials such as q-Hermite, q-Laguerre and q-Gegenbauer ...
Aizawa N Chakrabarti R Naina Mohammed S S Segar J +9 more
core +1 more source
CFD modeling and sensitivity‐guided design of silicon filament CVD reactors
AIChE Journal, EarlyView.Abstract Filament‐based chemical vapor deposition (CVD) for silicon (Si) coatings is often treated as an adaptation of planar deposition. But this overlooks fundamental shifts in transport phenomena and reaction kinetics. In filament CVD, the filament acts as a substrate, heat source, and flow disruptor simultaneously. In this work, we ask: What really
G. P. Gakis +8 more
wiley +1 more source
Complementary Romanovski-Routh polynomials and their zeros
Trends in Computational and Applied MathematicsThe efficacy of numerical methods like integral estimates via Gaussian quadrature formulas depends on the localization of the zeros of the associated family of orthogonal polynomials.
L. L. Silva Ribeiro +2 more
doaj +1 more source
Approach of the Generating Functions to the Coherent States for Some Quantum Solvable Models [PDF]
, 2014 We introduce to this paper new kinds of coherent states for some quantum solvable models: a free particle on a sphere, one-dimensional Calogero-Sutherland model, the motion of spinless electrons subjected to a perpendicular magnetic field B, respectively,
Dehghani, A., Mojaveri, B.
core
A hidden analytic structure of the Rabi model
, 2013 The Rabi model describes the simplest interaction between a cavity mode with a frequency $\omega_c$ and a two-level system with a resonance frequency $\omega_0$.
Moroz, Alexander
core +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
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