云南高校图书馆联盟文献共享服务平台- INVARIANTS

INVARIANTS: 作品数：196被引量：166H指数：6; 导出分析报告; 相关领域：自动化与计算机技术理学更多>>; 相关作者：张辉郑宇军陈北京吕露梅凤翔更多>>; 相关机构：华东师范大学东南大学中北大学上海交通大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

On Hempel Pairs and Turaev-Viro Invariants: 《Chinese Annals of Mathematics,Series B》2025年第1期1-24,共24页Yi LIU; supported by the National Natural Science Foundation of China (No. 11925101);the National Key R&D Program of China (No. 2020YFA0712800)。; Surface bundles arising from periodic mapping classes may sometimes have non-isomorphic, but profinitely isomorphic fundamental groups. Pairs of this kind have been discovered by Hempel. This paper exhibits examples o...; 关键词：Profinite completion Mapping class group Turaev-Viro invariant

Shapes of Regular Curves Defined by Hyperbolic Functions: 《Wuhan University Journal of Natural Sciences》2024年第6期495-498,共4页ZHNAG Yanfang JIN Chenxiang FAN Changhong; Supported by the Curriculum Ideological and Political Teaching Research Project of Huzhou University (JGSZ202323)。; This article discusses the shapes of a class of regular curves defined by hyperbolic functions.We first make a preliminary judgment using its torsion and then get more precise descriptions using its curvature and alge...; 关键词：regular curves TORSION CURVATURE algebraic invariants

Accounting for Quadratic and Cubic Invariants in Continuum Mechanics–An Overview: 《Fluid Dynamics & Materials Processing》2024年第9期1925-1939,共15页Artur V.Dmitrenko Vladislav M.Ovsyannikov; The differential equations of continuum mechanics are the basis of an uncountable variety of phenomena and technological processes in fluid-dynamics and related fields.These equations contain derivatives of the first ...; 关键词：Quadratic invariant cubic invariant continuity equation generation of periodic waves N.E.Zhukovsky’s hydraulic shock TURBULENCE

Enhancing neural operator learning with invariants to simultaneously learn various physical mechanisms: 《National Science Review》2024年第8期42-43,共2页Siran Li Chong Liu Hao Ni; Partial differential equations(PDEs)play a fundamental role in the modelling and analysis of a wide range of physical and geometric problems.Numerous numerical techniques,classical and new,have been proposed to approx...; 关键词：INVARIANTS OPERATOR OVERCOME

Modeling Reynolds stress anisotropy invariants via machine learning: 《Acta Mechanica Sinica》2024年第6期50-63,共14页Xianglin Shan Xuxiang Sun Wenbo Cao Weiwei Zhang Zhenhua Xia; supported by the National Natural Science Foundation of China(Grant No.92152301).; The presentation and modeling of turbulence anisotropy are crucial for studying large-scale turbulence structures and constructing turbulence models.However,accurately capturing anisotropic Reynolds stresses often rel...; 关键词：Reynolds stress Anisotropy invariant Tensor analysis Machine learning

Deciphering and integrating invariants for neural operator learning with various physical mechanisms被引量：2: 《National Science Review》2024年第4期105-116,共12页Rui Zhang Qi Meng Zhi-Ming Ma; This work was supported by the National Key R&D Program of China(2020YFA0712700).; Neural operators have been explored as surrogate models for simulating physical systems to overcome the limitations of traditional partial differential equation(PDE)solvers.However,most existing operator learning meth...; 关键词：neural operator PDE solver contrastive learning physical invariants

Dynamics of some new solutions to the coupled DSW equations traveling horizontally on the seabed: 《Journal of Ocean Engineering and Science》2024年第2期154-163,共10页Raj Kumar Ravi Shankar Verma; The system of(1+1)-coupled Drinfel’d-Sokolov-Wilson equations describes the surface gravity waves travelling horizontally on the seabed.The objective of the present research is to construct a new variety of analytica...; 关键词：Coupled Drinfel’d-Sokolov-Wilson model INVARIANTS Killing form Optimal sub algebra Lie symmetry reductions

On similarity solutions to (2+1)-dispersive long-wave equations: 《Journal of Ocean Engineering and Science》2023年第2期111-123,共13页Raj Kumar Ravi Shankar Verma Atul Kumar Tiwari; This work is devoted to get a new family of analytical solutions of the(2+1)-coupled dispersive long wave equations propagating in an infinitely long channel with constant depth,and can be observed in an open sea or i...; 关键词：Dispersive long wave equations SOLITONS INVARIANTS Lie-group Similarity solutions

A Class of Quadratic Matrix Equations over Finite Fields: 《Algebra Colloquium》2023年第1期169-180,共12页Yin Chen Xinxin Zhang; supported by the NNSF of China(Grant No.11401087).; We exhibit an explicit formula for the cardinality of solutions to a class of quadratic matrix equations over finite fields.We prove that the orbits of these solutions under the natural conjugation action of the gener...; 关键词：matrix equations general linear groups finite fields separating invariants

Topological Evaluation of Certain Computer Networks by Contraharmonic-Quadratic Indices: 《Computers, Materials & Continua》2023年第2期3795-3810,共16页Ahmed M.Alghamdi Khalid Hamid Muhammad Waseem Iqbal M.Usman Ashraf Abdullah Alshahrani Adel Alshamrani; the University of Jeddah,Jeddah,Saudi Arabia,under Grant No.(UJ-22-DR-14).; In various fields,different networks are used,most of the time not of a single kind;but rather a mix of at least two networks.These kinds of networks are called bridge networks which are utilized in interconnection ne...; 关键词：Bridge networks INVARIANTS Quadratic-Contraharmonic Indices MAPLE network graph molecular graph

INVARIANTS