Results 41 to 50 of about 3,264 (278)
SOME RECURRENCE RELATIONS OF MULTIPLE ORTHOGONAL POLYNOMIALS [PDF]
Multiple orthogonal polynomial systems (OPS) are considered. A sequence of polynomial vectors \(\{(A_{(n_1,n_2)}, B_{(n_1,n_2)})\}\) is called a multiple OPS of type I relative to a pair of measures \((d\mu,d\nu)\) if (i) \(\deg A_{(n_1,n_2)}=n_1\) and \(\deg B_{(n_1,n_2)}=n_2\); (ii) \(\int_{\mathbb R}x^k (A_{(n_1,n_2)}\, d\mu+ B_{(n_1,n_2)}\,d\nu)=0\)
openaire +1 more source
Christoffel functions for multiple orthogonal polynomials
We study weak asymptotic behaviour of the Christoffel--Darboux kernel on the main diagonal corresponding to multiple orthogonal polynomials. We show that under some hypotheses the weak limit of $\tfrac{1}{n} K_n(x,x)\, dμ$ is the same as the limit of the normalized zero counting measure of type II multiple orthogonal polynomials.
Swiderski, Grzegorz, Van Assche, Walter
openaire +2 more sources
Legendre Cooperative PSO Strategies for Trajectory Optimization
Particle swarm optimization (PSO) is a population-based stochastic optimization technique in a smooth search space. However, in a category of trajectory optimization problem with arbitrary final time and multiple control variables, the smoothness of ...
Lei Liu +3 more
doaj +1 more source
Analyzing genotype-by-environment interaction using curvilinear regression
In the context of multi-environment trials, where a series of experiments is conducted across different environmental conditions, the analysis of the structure of genotype-by-environment interaction is an important topic.
Dulce Gamito Santinhos Pereira +4 more
doaj +1 more source
Multiple Orthogonal Polynomials in Random Matrix Theory [PDF]
15 pages, 3 figures, to appear in Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010.
openaire +2 more sources
Efficient Charge Transport in Zero‐Dimensional Perovskite for Ultrahigh‐Sensitivity X‐Ray Detection
A novel mono‐octahedral 0D Bi‐based Dpy3Bi2I12 perovskite strengthens the internal hydrogen bonds and forms a quasi‐2D lattice, exhibits exceptional charge transport and mobility, achieving high X‐ray sensitivity and ultralow‐dose imaging, and setting a new benchmark for 0D detector performance.
Xin Song +16 more
wiley +1 more source
Linear-algebraic bath transformation for simulating complex open quantum systems
In studying open quantum systems, the environment is often approximated as a collection of non-interacting harmonic oscillators, a configuration also known as the star-bath model. It is also well known that the star-bath can be transformed into a nearest-
Joonsuk Huh +4 more
doaj +1 more source
Registros de produção de leite de 68.523 controles leiteiros de 8.536 vacas da raça Holandesa, com parições nos anos de 1996 a 2001, foram utilizados na comparação entre modelos de regressão aleatória para estimação de componentes de variância.
Cláudio Vieira de Araújo +8 more
doaj +1 more source
Hard‐Magnetic Soft Millirobots in Underactuated Systems
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source

