Results 111 to 120 of about 12,820,749 (293)

Generators and irreducible polynomials over finite fields [PDF]

Mathematics of Computation, 1997
Weil’s character sum estimate is used to study the problem of constructing generators for the multiplicative group of a finite field. An application to the distribution of irreducible polynomials is given, which confirms an asymptotic version of a conjecture of Hansen-Mullen.
openaire   +2 more sources

Accelerating Materials Discovery: A Review of Machine Learning in X‐Ray Absorption Spectroscopy

Advanced Intelligent Systems, EarlyView.
This review systematically details how machine learning transforms X‐ray absorption spectroscopy (XAS) analysis. It covers advanced deep learning architectures for structure‐spectra mapping and inverse tasks, while discussing key challenges like the simulation‐to‐reality gap.
Melaku Lake Tegegne, Haodong Yao, Liyuan Wu, Yihe Pang, Fazhi Qi, Lina Zhao   +5 more
wiley   +1 more source

Verifiable geometric homomorphic secret sharing for outsourced polynomial evaluations

Journal of King Saud University: Computer and Information Sciences
Homomorphic Secret Sharing (HSS) enables a client to outsource the evaluation of a function f on a private input $$\textbf{x}$$ x to multiple servers.
Minghao Yang, Liang Feng Zhang
doaj   +1 more source

Machine Learning‐Enabled Field Prediction and Inverse Design of Functionally Graded Materials Inspired by Tendon–Bone Enthesis

Advanced Intelligent Systems, EarlyView.
A mechanics‐informed machine learning framework enables mechanics field prediction and inverse design of tendon–bone enthesis‐inspired functionally graded materials that reduce stress concentration and failure risk. By coupling multiscale finite element modeling, convolutional field prediction, and kernel‐based inverse design, the study uncovers ...
Zhangke Yang, Zhaoxu Meng
wiley   +1 more source

Relative rank and regularization

Forum of Mathematics, Sigma
We introduce a new concept of rank – relative rank associated to a filtered collection of polynomials. When the filtration is trivial, our relative rank coincides with Schmidt rank (also called strength).
Amichai Lampert, Tamar Ziegler
doaj   +1 more source

AI‐Powered Smart Displays and AR Glasses: Perspectives and Challenges

Advanced Intelligent Systems, EarlyView.
This perspective examines how AI is reshaping smart displays and AR glasses. The latest in image‐quality enhancement, sensor‐integrated display optimization, and physiological sensing in display systems, followed by AI‐assisted AR technologies including waveguide optimization, image compensation, foveated rendering, and multimodal sensing, is discussed.
Luke Benoit, Yizhou Qian, Yi‐Chien Chen, Ziyang Shen, Po‐Sheng Chiu, Youngeon Lee, Cheng‐Han Ke, Chih‐Lung Lin, Shin‐Tson Wu   +8 more
wiley   +1 more source

Bounds on the realizations of zero-nonzero patterns and sign conditions of polynomials restricted to varieties and applications

Forum of Mathematics, Sigma
We obtain upper bounds, independent of the ambient dimension, for the number of realizable zero-nonzero patterns and (over ordered fields) sign conditions of a finite family of polynomials P $\mathcal P$ script upper P restricted to an algebraic ...
Saugata Basu, Laxmi Parida
doaj   +1 more source

Autonomous Charging and Battery Swapping for Unmanned Aerial Vehicles: A Review

Advanced Intelligent Systems, EarlyView.
This review evaluates major autonomous charging and battery swapping methods for unmanned aerial vehicles (UAVs) against a single question: how close each is to sustained unattended operation. Rather than ranking them by charging performance, it identifies the limitation that most restricts each method, and briefly outlines the supporting technologies ...
Zelin Wu, Yuanwen Zhang, Xiangdong Meng, Guangyu Zhang, Huiwen Zhang, Yuquan Leng   +5 more
wiley   +1 more source

BENT POLYNOMIALS OVER FINITE FIELDS

, 2008
. The definition of bent is redefined for any finite field. Our main result is a complete description of the relationship between bent polynomials and perfect non-linear functions over finite fields: we show they are equivalent.
Rex, Robert S Coulter, W Matthews
core  

A Hierarchical, Model‐Based System for High‐Performance Humanoid Soccer

Advanced Intelligent Systems, EarlyView.
A hierarchical model‐based humanoid soccer system built on ARTEMIS integrates compliant mechanism design, in‐gait kicking, perception, localization, collision‐aware navigation, and behavior planning. Hardware–software codesign aligns mechanical design and control strategy with the requirements of autonomous soccer.
Quanyou Wang, Mingzhang Zhu, Ruochen Hou, Kay Gillespie, Alvin Zhu, Shiqi Wang, Yicheng Wang, Gabriel I. Fernandez, Yeting Liu, Colin Togashi, Hyunwoo Nam, Aditya Navghare, Alex Xu, Taoyuanmin Zhu, Min Sung Ahn, Arturo Flores Alvarez, Justin Quan, Ethan Hong, Dennis W. Hong   +18 more
wiley   +1 more source