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LEMMA: 作品数：317被引量：294H指数：7; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：曹义郭佳舒华王黎毕彦超更多>>; 相关机构：南京师范大学北京师范大学河南大学贵州大学更多>>; 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中国博士后科学基金高等学校学科创新引智计划更多>>

Dynamical complexity of Anosov systems driven by a quasi-periodic force: 《Science China Mathematics》2025年第1期89-136,共48页Wen Huang Zeng Lian Kening Lu; supported by National Natural Science Foundation of China(Grant Nos.12090010,12090013,11971330,12090012,12031019,11725105,and 12226102).; Consider C^(2)Anosov systems on a compact manifold driven by a quasi-periodic force.We study their dynamical complexity on various levels from the perspectives of both path-wise dynamics and stochastic processes.Assum...; 关键词：random Anosov systems Anosov system on bers entropy random periodic orbit random horseshoe cohomological equation random Livsic theorem random Bousch-Mañécohomology lemma

Small Modular Solutions to Fermat’s Last Theorem: 《Advances in Pure Mathematics》2024年第10期797-805,共9页Thomas Beatty; The proof by Andrew Wiles of Fermat’s Last Theorem in 1995 resolved the existence question for non-trivial solutions in integers x,y,zto the equation xn+yn=znfor n>2. There are none. Surprisingly, there are infinitel...; 关键词：Fermat’s Last Theorem Modular Arithmetic CONGRUENCES Prime Numbers Primitive Roots Indices Ramsey Theory Schur’s Lemma in Ramsey Theory

On the Weyl’s Lemma for Triharmonic Functions: 《Chinese Quarterly Journal of Mathematics》2024年第3期288-294,共7页ZHENG Run-jie ZENG Jia-min FANG Yi; Supported by National Natural Science Foundation of China(Grant Nos.11801006 and 12071489).; In this paper,by choosing some appropriate test functions,we prove the Weyl’s lemma for triharmonic functions based on the new type of mean value formulas.; 关键词：Weyl’s lemma Harmonic functions Triharmonic functions Test functions Mean value formulas

Generalized Cline's Formula and Jacobson's Lemma in a Ring: 《Algebra Colloquium》2024年第3期407-416,共10页Huanyin Chen Marjan Sheibani; supported by the Natural Science Foundation of Zhejiang Province,China(No.LY21A010018).; We present a new generalized version of Cline's formula and Jacobson's lemma for g-Drazin inverses in a ring.These generalized results extend many known results,e.g.,Chen and Abdolyousefi[Generalized Jacobson's lemma ...; 关键词：Cline's formula Jacobson's lemma generalized Drazin inverse Drazin inverse RING

The Stag Hunt Dilemma: 《Beijing Review》2024年第33期24-24,共1页Liang Xiao; In his Discourse on the Origin and Basis of Inequality Among Men,French.philosopher Jean-Jacques Rousseau presented the famous"stag hunt game,"in which two hunters,who are not familiar with each other,go hunting.They ...; 关键词：LEMMA PENDENT accomplished

The First Five Years of a Phase Theory for Complex Systems and Networks: 《IEEE/CAA Journal of Automatica Sinica》2024年第8期1728-1743,共16页Dan Wang Wei Chen Li Qiu; supported in part by the National Natural Science Foundation of China(62073003,72131001);Hong Hong Research Grants Council under GRF grants(16200619,16201120,16205421,1620-3922);Shenzhen-Hong Kong-Macao Science and Technology Innovation Fund(SGDX20201103094600006)。; In this paper,we review the development of a phase theory for systems and networks in its first five years,represented by a trilogy:Matrix phases and their properties;The MIMO LTI system phase response,its physical in...; 关键词：Consensus and synchronization matrix phases multi-agent systems phase theory sectored real lemma small phase theorem.

Normalized Solution for p-Kirchhoff Equation with a L2-supercritical Growth: 《Acta Mathematicae Applicatae Sinica》2024年第2期414-429,共16页Zhi-min REN Yong-yi LAN; supported by Natural Science Foundation of Fujian Province(No.2022J01339;2020J01708);National Foundation Training Program of Jimei University(ZP2020057).; In this paper,we investigate the following p-Kirchhoff equation{∫R^(N)|u|^(2)dx=ρ,(a+b)∫RN(|Δu}^(p)+|u|^(p))dx)(-Δpu+|u|^(p-2u)=|u|^(s-2)u+μu,x∈R^(N),where a>0,b≥0,p>0 are constants,constants,p*=N-P/Np is the ...; 关键词：p-Kirchhoff equation normalized solution mountain-pass lemma

A generalization of Banach's lemma and its applications to perturbations of bounded linear operators: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期363-369,共7页WANG Zi DING Jiu WANG Yu-wen; Supported by the National Natural Science Foundation of China(12001142).; Let X be a Banach space and let P:X→X be a bounded linear operator.Using an algebraic inequality on the spectrum of P,we give a new sufficient condition that guarantees the existence of(I-P)^(-1) as a bounded linear ...; 关键词：Banach lemma spectral radius generalized inverse perturbation analysis

Zassenhaus Lemma,Schreier Refinement Theorem,and Jordan–Hölder Theorem for Gyrogroups: 《Algebra Colloquium》2024年第2期323-332,共10页Prathomjit Khachorncharoenkul Rasimate Maungchang Teerapong Suksumran L.A.Bokut; In this article,we extend the Zassenhaus lemma(also called the butterfly lemma)and the Schreier refinement theorem to the case of gyrogroups.In addition,we use these results to prove the Jordan–Hölder theorem for gyr...; 关键词：Zassenhaus lemma Schreier refinement theoremg yrogroup subgyrogroup diagram normal subgyrogroup

Rice AGL1 determines grain size and sterile lemma identity: 《The Crop Journal》2024年第2期630-634,共5页Haiping Yu An Wang Guangheng Zhang Guojun Dong Longbiao Guo Qian Qian Deyong Ren; supported by the National Natural Science Foundation of China(32372118,32188102,32071993);the Qian Qian Academician Workstation,Specific Research Fund of the Innovation Platform for Academicians in Hainan Province(YSPTZX202303);Key Research and Development Program of Zhejiang Province(2021C02056);Hainan Seed Industry Laboratory,China(B21HJ0220)。; The grass spikelet is a unique inflorescence structure that determines grain size.Although many genetic factors have been well characterized for grain size and glume development,the underlying molecular mechanisms in ...; 关键词：Abnormal grain and sterile lemma 1 Oryza sativa Grain size Rudimentary glume

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