Results 81 to 90 of about 72,702 (264)

Relative Asymptotic of Multiple Orthogonal Polynomials for Nikishin Systems

, 2008
We prove relative asymptotic for the ratio of two sequences of multiple orthogonal polynomials with respect to Nikishin system of measures. The first Nikishin system ${\mathcal{N}}(\sigma_1,...,\sigma_m)$ is such that for each $k$, $\sigma_k$ has ...
García, Abey López, Lagomasino, Guillermo López   +1 more
core   +3 more sources

Miniaturized 3D Magnetic Force Sensor via Laser‐Assisted Folding and Magnetization for Enhanced Robotic Dexterity

Advanced Science, EarlyView.
To achieve 3D force sensing in confined spaces such as fingertips, we developed a laser‐assisted folding and magnetization method to fabricate miniature films with precise centripetal magnetization. The resulting compact sensor delivers high force resolution, rapid response, and long‐term stability, significantly enhancing the manipulation capabilities
Yujie Huang, Huangzhe Dai, Chengqian Zhang, Daofan Tang, Xinxin Zhang, Haonan Sun, Annan Ding, Xuebin Ni, Yizhi Zhang, Chengfeng Pan, Peng Zhao   +10 more
wiley   +1 more source

A family of Nikishin systems with periodic recurrence coefficients

, 2012
Suppose we have a Nikishin system of $p$ measures with the $k$th generating measure of the Nikishin system supported on an interval $\Delta_k\subset\er$ with $\Delta_k\cap\Delta_{k+1}=\emptyset$ for all $k$.
A. A. Gonchar, A. I. Aptekarev, A. I. Aptekarev, A. I. Aptekarev, A. I. Aptekarev, Abey López, E. M. Nikishin, E. M. Nikishin, E. M. Nikishin, Guillermo L López, J. Bustamante, J. Bustamante, M. G. Krein, Steven Delvaux, V. A. Kalyagin, V. A. Kalyagin   +15 more
core   +1 more source

Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations [PDF]

, 2020
Orthogonal polynomials and multiple orthogonal polynomials are interesting special functions because there is a beautiful theory for them, with many examples and useful applications in mathematical physics, numerical analysis, statistics and probability and many other disciplines.
openaire   +2 more sources

Liquid Metals in Radio Frequency Applications: A Review of Physics, Manufacturing, and Emerging Technologies

Advanced Electronic Materials, EarlyView.
This paper reviews the physics of liquid metals in RF devices, including the influence of mechanical strain on resonance as well as fabrication methods and strategies for designing tunable and strain‐tolerant inductors, capacitors, and antennas.
Md Saifur Rahman, William J. Scheideler
wiley   +1 more source

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

Advanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

Enhanced High Dimensionality and the Information Processing Capacity in Interfered Spin Wave‐Based Reservoir Computing, Achieved With Eight Detectors

Advanced Electronic Materials, EarlyView.
Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa, Wataru Namiki, Daiki Nishioka, Maki Nishimura, Ryo Iguchi, Kazuya Terabe, Takashi Tsuchiya   +6 more
wiley   +1 more source

Alpert Multiwavelets and Legendre--Angelesco Multiple Orthogonal Polynomials [PDF]

SIAM Journal on Mathematical Analysis, 2017
19 pages + 7 pages supplementary ...
Geronimo, Jeffrey S., Iliev, Plamen, Van Assche, Walter   +2 more
openaire   +2 more sources

Smart Exploration of Perovskite Photovoltaics: From AI Driven Discovery to Autonomous Laboratories

Advanced Energy Materials, EarlyView.
In this review, we summarize the fundamentals of AI in automated materials science, and review AI applications in perovskite solar cells. Then, we sum up recent progress in AI‐guided manufacturing optimization, and highlight AI‐driven high‐throughput and autonomous laboratories.
Wenning Chen, Zheyu Zhang, Kelvian T. Mularso, Bonghyun Jo, Hyun Suk Jung   +4 more
wiley   +1 more source

Laguerre-Angelesco multiple orthogonal polynomials on an $r$-star

, 2019
We investigate the type I and type II multiple orthogonal polynomials on an $r$-star with weight function $|x|^{\beta}e^{-x^r}$, with $\beta>-1$. Each measure $\mu_j$, for $1\leq j \leq r$, is supported on the semi-infinite interval $[0,\omega^{j-1 ...
Leurs, Marjolein, Van Assche, Walter
core   +1 more source