云南高校图书馆联盟文献共享服务平台- INFINITESIMAL

INFINITESIMAL: 作品数：64被引量：67H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：王贺元周楠楠薛国强徐利治周家足更多>>; 相关机构：中国科学院辽宁工业大学大连理工大学北京大学更多>>; 相关期刊：《Computer Modeling in Engineering & Sciences》《Progress in Natural Science:Materials International》《Applied Mathematics》《Natural Science》更多>>; 相关基金：国家自然科学基金河南省自然科学基金国家重点基础研究发展计划国家高技术研究发展计划更多>>

CHARACTERIZATIONS OF BALLS AND ELLIPSOIDS BY INFINITESIMAL HOMOTHETIC CONDITIONS: 《Acta Mathematica Scientia》2025年第1期280-290,共11页M.Angeles ALFONSECA Dmitry RYABOGIN Alina STANCU Vladyslav YASKIN; We prove that for a smooth convex body K⊂ℝ^(d),d≥2,with positive Gauss curvature,its homothety with a certain associated convex body implies that K is either a ball or an ellipsoid,depending on the associated body co...; 关键词：Busemann-Petty problem convex bodies dual mixed volumes floating body surface of centers

Research and Application of a Multi-Field Co-Simulation Data Extraction Method Based on Adaptive Infinitesimal Element: 《Computer Modeling in Engineering & Sciences》2024年第1期321-348,共28页Changfu Wan Wenqiang Li Sitong Ling Yingdong Liu Jiahao Chen; This work is supported by the NationalNatural Science Foundation of China(No.52075350);the Major Science and Technology Projects of Sichuan Province(No.2022ZDZX0001);the Special City-University Strategic Cooperation Project of Sichuan University and Zigong Municipality(No.2021CDZG-3).; Regarding the spatial profile extraction method of a multi-field co-simulation dataset,different extraction directions,locations,and numbers of profileswill greatly affect the representativeness and integrity of data....; 关键词：Multi-field co-simulation adaptive infinitesimal elements principal component analysis fireworks algorithm sintering furnace simulation

High-order field theory and a weak Euler–Lagrange–Barut equation for classical relativistic particle-field systems: 《Plasma Science and Technology》2023年第11期42-54,共13页范培锋陈强肖建元于治; supported by National Natural Science Foundation of China(No.12005141);supported by National Natural Science Foundation of China(No.11805273);supported by the Collaborative Innovation Program of Hefei Science Center,CAS(No.2021HSCCIP019);National MC Energy R&D Program(No.2018YFE0304100);National Natural Science Foundation of China(No.11905220)。; In both quantum and classical field systems,conservation laws such as the conservation of energy and momentum are widely regarded as fundamental properties.A broadly accepted approach to deriving conservation laws is ...; 关键词：high-order field theory weak Euler-Lagrange-Barut equation infinitesimal criterion of symmetric condition Noether's theorem geometric conservation laws

Why Is an Integral an Accurate Value?: 《Applied Mathematics》2023年第12期847-850,共4页Wenbing Wu Xiaojian Yuan; The derivative and integral in calculus are both exact values. To explain this reason, the integration interval can be infinitely subdivided. The difference in area between curved trapezoids and rectangles can be expl...; 关键词：INTEGRAL INFINITESIMAL Curved Trapezoid Accurate Value

Could Long-Term Stability Last Forever?: 《Journal of Modern Physics》2023年第4期450-460,共11页Maria K. Koleva; The subject of the present paper is to prove that the recently introduced conjecture of boundedness puts a ban over the view of stability as asymptotic property. This result comes in sharp contrast with the prescripti...; 关键词：Long-Term Stability Equilibrium Infinitesimal Calculus BOUNDEDNESS Decomposition Theorem Certain Information Universal Mechanism for Collapse

Description of the Nature Using the Models Developed in Euclidean Space: 《Natural Science》2022年第2期78-93,共16页Pavel A. Stabnikov; In elucidating the laws of matter motion, it is necessary also to take into account the subjective human possibilities to think and construct models. These possibilities are restricted to the framework of Euclidean sp...; 关键词：Modeling in Euclidean Space Direct Inverse Hilbert and Other Spaces Integral Transformations An Increase in the Infinitesimal

Rotation-based finite elements:reference-configuration geometry and motion description被引量：4: 《Acta Mechanica Sinica》2021年第1期105-126,I0004,共23页Ahmed A.Shabana Lingmin Xu; supported,in part,by the National Science Foundation(Grant 1852510).; Infinitesimal-rotation finite elements allow creating a linear problem that can be exploited to systematically reduce the number of coordinates and obtain efficient solutions for a wide range of applications,including...; 关键词：Reference-configuration geometry Infinitesimal-rotation finite elements Rigid-body inertia Floating frame of reference Absolute nodal coordinate formulation Co-rotational procedure

Double Constructions of Frobenius Hom-Algebras and Connes Cocycles: 《Journal of Mathematical Research with Applications》2020年第6期577-595,共19页Shuangjian GUO Lihong DONG; Supported by the National Natural Science Foundation of China(Grant Nos.11761017,11801150);the Science and Technology Foundation of Guizhou Province(Grant No.20201Y005)。; In this paper,we give an explicit and systematic study on the double constructions of Frobenius Hom-algebras and introduce the close relations between O-operators and Homdendriform algebras.Furthermore,we study the do...; 关键词：Frobenius Hom-algebras Hom-dendriform algebras O-operators antisymmetric infinitesimal Hom-bialgebras Hom-dendriform D-bialgebras

Experimental study on ceramic balls impact composite armor被引量：4: 《Defence Technology（防务技术）》2020年第2期408-416,共9页Wei-zhan Wang Zhi-gang Chen Shun-shan Feng Tai-yong Zhao; Ceramic balls represent a new type of damaging element,and studies on their damaging power of composite armor are required for a comprehensive evaluation of the effectiveness of various types of weapons.The goal of th...; 关键词：IMPACT PENETRATION INFINITESIMAL INTERFACE COLLAPSE

The Rigidity of Hypersurfaces in Euclidean Space: 《Chinese Annals of Mathematics,Series B》2019年第3期439-456,共18页Chunhe LI Yanyan XU; supported by the National Natural Science Foundation of China(No.11871160);the Fundamental Research Funds for the Central Universities of China(No.ZYGX2016J135); In the present paper, the rigidity of hypersurfaces in Euclidean space is revisited.The Darboux equation is highlighted and two new proofs of the rigidity are given via energy method and maximal principle, respectively.; 关键词：Global RIGIDITY INFINITESIMAL RIGIDITY Energy method MAXIMAL PRINCIPLE

INFINITESIMAL