Results 91 to 100 of about 341,235 (326)

H. G. Grassmann et l’introduction d’une nouvelle discipline mathématique : l’Ausdehnungslehre

Philosophia Scientiæ, 2005
Grassmann is not the first to create a new calculus : Möbius, Hamilton, Bellavitis, Cauchy, and many others preceded him in this way which shows all the importance of the changes undergone by the algebra and the evolution of complex connections ...
Dominique Flament
doaj   +1 more source

TOMIC FUNCTIONS AND LACUNARY INTERPOLATION SERIES IN BOUNDARY VALUE PROBLEMS FOR PARTIAL DERIVATIVES EQUATIONS AND IMAGE PROCESSING

Радіоелектронні і комп'ютерні системи, 2020
In the paper we consider and solve the problem of construction of the so called tomic functions – the systems of infinitely differentiable  functions which while retaining many important properties of the shifts of atomic function up(x) such as locality ...
Volodimir Olexijovych Rvachov, Tatiana Volodimirivna Rvachova, Evgenia Pavlovna Tomilova   +2 more
doaj   +1 more source

Enumeration of three term arithmetic progressions in fixed density sets [PDF]

, 2014
Additive combinatorics is built around the famous theorem by Szemer\'edi which asserts existence of arithmetic progressions of any length among the integers. There exist several different proofs of the theorem based on very different techniques.
Sjöland, Erik
core  

A High‐Precision and Robust Geometric Relationships‐Inspired Neural Network for the Inverse Kinematic Modeling of the Tendon‐Actuated Continuum Manipulator

Advanced Intelligent Systems, EarlyView.
An online learning control framework with a data cache pool based on a constant‐curvature model inspired neural network (CCMINN) model to obtain the inverse kinematics model of tendon‐actuated continuum manipulators is proposed. Combining the fast‐converging CCMINN with an online learning control framework enables high‐precision and highly robust ...
Jinyu Duan, Jianxiong Hao, Pengyu Du, Bo Zhang, Zhiqiang Zhang, Chaoyang Shi   +5 more
wiley   +1 more source

THE CONSERVATION OF NUMBER PRINCIPLE IN REAL ALGEBRAIC GEOMETRY [PDF]

Glasgow Mathematical Journal, 2003
The classical conservation of number principle is an important result in algebraic geometry. The author presents a self-contained topological proof, which does not depend on the intersection theory of algebraic cycles, of a version of this principle which is useful for the study of topological properties of real algebraic varieties.
openaire   +2 more sources

Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control

Advanced Intelligent Systems, EarlyView.
This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao, Ruixue Xu, Wujun Zhao, Xi‐Ming Sun, Yu Sun, Changsheng Dai   +5 more
wiley   +1 more source

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

Advanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari, Teresa Serrano‐Gotarredona, Bernabé Linares‐Barranco   +2 more
wiley   +1 more source

Regulous vector bundles

, 2017
Among recently introduced new notions in real algebraic geometry is that of regulous functions. Such functions form a foundation for the development of regulous geometry.
Atiyah, Benedetti, Bochnak, Bochnak, Bochnak, Bochnak, Bochnak, Fichou, Hironaka, Huisman, Huisman, Husemoller, Kollár, Kollár, Kollár, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kucharz, Kurdyka, Kurdyka, Marinari, Nowak, Parusiński, Serre, Swan, Swan, Zhang, Zieliński   +34 more
core   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

Topology and real algebraic geometry

Rocky Mountain Journal of Mathematics, 1984
This article discusses the problem of topologically classifying real algebraic sets and describes the author's joint program with \textit{H. King} for the possible solution of this problem. The main topic of discussion are the 'resolution towers'. These are the topological models constructed to describe underlying topological types of real algebraic ...
openaire   +2 more sources