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A Finite-Time Convergent Analysis of Continuous Action Iterated Dilemma
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作者 Zhen Wang Xiaoyue Jin +1 位作者 Tao Zhang Dengxiu Yu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第2期563-565,共3页
Dear Editor,In this letter, a finite-time convergent analysis of continuous action iterated dilemma(CAID) is proposed. In traditional evolutionary game theory, the strategy of the player is binary(cooperation or defec... Dear Editor,In this letter, a finite-time convergent analysis of continuous action iterated dilemma(CAID) is proposed. In traditional evolutionary game theory, the strategy of the player is binary(cooperation or defection), which limits the number of strategies a player can choose from. 展开更多
关键词 lemma LETTER CONVERGENT
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A generalization of Banach's lemma and its applications to perturbations of bounded linear operators
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作者 WANG Zi DING Jiu WANG Yu-wen 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2024年第2期363-369,共7页
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 ... 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 operator on X,and a bound on its spectral radius is also obtained.This generalizes the classic Banach lemma.We apply the result to the perturbation analysis of general bounded linear operators on X with commutative perturbations. 展开更多
关键词 Banach lemma spectral radius generalized inverse perturbation analysis
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THE BOUNDARY SCHWARZ LEMMA AND THE RIGIDITY THEOREM ON REINHARDT DOMAINS B_(p)^(n) OF C^(n)
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作者 王建飞 张艳慧 《Acta Mathematica Scientia》 SCIE CSCD 2024年第3期839-850,共12页
By introducing the Carathéodory metric,we establish the Schwarz lemma at the boundary for holomorphic self-mappings on the unit p-ball B_(p)^(n) of C^(n).Furthermore,the boundary rigidity theorem for holomorphic ... By introducing the Carathéodory metric,we establish the Schwarz lemma at the boundary for holomorphic self-mappings on the unit p-ball B_(p)^(n) of C^(n).Furthermore,the boundary rigidity theorem for holomorphic self-mappings defined on B_(n)^(p) is obtained.These results cover the boundary Schwarz lemma and rigidity result for holomorphic self-mappings on the unit ball for p=2,and the unit polydisk for p=∞,respectively. 展开更多
关键词 Schwarz lemma Carathéodory metric RIGIDITY
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Rice AGL1 determines grain size and sterile lemma identity
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作者 Haiping Yu An Wang +4 位作者 Guangheng Zhang Guojun Dong Longbiao Guo Qian Qian Deyong Ren 《The Crop Journal》 SCIE CSCD 2024年第2期630-634,共5页
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 ... 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 rice are far from established.Here,we isolated rice gene,AGL1 that controlled grain size and determines the fate of the sterile lemma.Loss of function of AGL1 produced larger grains and reduced the size of the sterile lemma.Larger grains in the agl1 mutant were caused by a larger number of cells that were longer and wider than in the wild type.The sterile lemma in the mutant spikelet was converted to a rudimentary glume-like organ.Our findings showed that the AGL1(also named LAX1)protein positively regulated G1 expression,and negatively regulated NSG1 expression,thereby affecting the fate of the sterile lemma.Taken together,our results revealed that AGL1 played a key role in negative regulation of grain size by controlling cell proliferation and expansion,and supported the opinion that rudimentary glume and sterile lemma in rice are homologous organs. 展开更多
关键词 Abnormal grain and sterile lemma 1 Oryza sativa Grain size Rudimentary glume
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National Security Dilemma in the Digital Era and the Building of a Community with a Shared Future in Cyberspace
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作者 Lang Ping 《Contemporary World》 2023年第5期28-31,共4页
A review of the history of human development shows that every major technological revolution brings new challenges to national security.With the advent of the information technology revolution represented by the Inter... A review of the history of human development shows that every major technological revolution brings new challenges to national security.With the advent of the information technology revolution represented by the Internet,cybersecurity has become an issue of paramount importance,and the digital intelligence revolution with digital technology innovations such as big data and cloud computing has further expanded the connotation and extension of cybersecurity. 展开更多
关键词 COMPUTING lemma expanded
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A Proof of Brouwer’s Fixed Point Theorem Using Sperner’s Lemma
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作者 Cassie Lu 《数学计算(中英文版)》 2023年第2期1-6,共6页
This article offers a simple but rigorous proof of Brouwer’s fixed point theorem using Sperner’s Lemma.The general method I have used so far in the proof is mainly to convert the n-dimensional shapes to the correspo... This article offers a simple but rigorous proof of Brouwer’s fixed point theorem using Sperner’s Lemma.The general method I have used so far in the proof is mainly to convert the n-dimensional shapes to the corresponding case under the Sperner’s Labeling and apply the Sperner’s Lemma to solve the question. 展开更多
关键词 Brouwer’s Fixed Point Theorem Sperner’s lemma PROOF
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New versions of Barbalat's lemma with applications 被引量:6
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作者 Mingzhe HOU Guangren DUAN Mengshu GUO 《控制理论与应用(英文版)》 EI 2010年第4期545-547,共3页
This note presents a set of new versions of Barbalat's lemma combining with positive (negative) definite functions.Based on these results,a set of new formulations of Lyapunov-like lemma are established.A simple ex... This note presents a set of new versions of Barbalat's lemma combining with positive (negative) definite functions.Based on these results,a set of new formulations of Lyapunov-like lemma are established.A simple example shows the usefulness of our results. 展开更多
关键词 Barbalat's lemma Lyapunov-like lemma
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A NOTE ON SCHWARZ LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS ON D 被引量:4
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作者 刘洋 戴绍虞 《Acta Mathematica Scientia》 SCIE CSCD 2015年第1期89-94,共6页
In this note, we consider a holomorphic mapping f from the unit disk C in C to p-ball B^p = {z∈C^n;i=1∑n|zi|p〈1,1〈p〈+∞. It is proved that for such f,| | |f||(z)|≤1-||f(z)||^2/1-|z|^2,z∈D. Th... In this note, we consider a holomorphic mapping f from the unit disk C in C to p-ball B^p = {z∈C^n;i=1∑n|zi|p〈1,1〈p〈+∞. It is proved that for such f,| | |f||(z)|≤1-||f(z)||^2/1-|z|^2,z∈D. The extremal problem is also discussed when p is an even number. This result extends some related results on Schwarz lemma. 展开更多
关键词 Schwarz lemma holomorphic mapping p-ball
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A version of Hill's lemma for Cosserat continuum 被引量:3
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作者 Xikui Li Qipeng Liu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第4期499-506,共8页
On the basis of Hill's lemma for classical Cauchy continuum, a version of Hill's lemma for micro-macro homogenization modeling of heterogeneous Cosserat continuum is presented in the flame of average-field theory. T... On the basis of Hill's lemma for classical Cauchy continuum, a version of Hill's lemma for micro-macro homogenization modeling of heterogeneous Cosserat continuum is presented in the flame of average-field theory. The admissible boundary conditions required to prescribe on the representative volume element for the modeling are extracted and discussed to ensure the satisfaction of Hill-Mandel energy condition and the first-order average field theory. 展开更多
关键词 Hill's lemma Hill-Mandel condition Cosserat continuum Average-field theory RVE boundary conditions
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THE SCHWARZ LEMMA AT THE BOUNDARY OF THE NON-CONVEX COMPLEX ELLIPSOIDS 被引量:2
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作者 Le HE Zhenhan TU 《Acta Mathematica Scientia》 SCIE CSCD 2019年第4期915-926,共12页
Let B2,p:= {z ∈ C2: |z1|2+ |z2|p< 1}(0 < p < 1). Then, B2,p(0 < p < 1) is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ... Let B2,p:= {z ∈ C2: |z1|2+ |z2|p< 1}(0 < p < 1). Then, B2,p(0 < p < 1) is a non-convex complex ellipsoid in C2 without smooth boundary. In this article, we establish a boundary Schwarz lemma at z0 ∈ ?B2,p for holomorphic self-mappings of the non-convex complex ellipsoid B2,p, where z0 is any smooth boundary point of B2,p. 展开更多
关键词 BOUNDARY SCHWARZ lemma HOLOMORPHIC mappings Kobayashi metric NONCONVEX COMPLEX ELLIPSOIDS
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The soft glumes of common wheat are sterile-lemmas as determined by the domestication gene Q 被引量:1
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作者 Gaoyuan Song Guoliang Sun +7 位作者 Xingchen Kong Meiling Jia Ke Wang Xingguo Ye Yun Zhou Shuaifeng Geng Long Mao Aili Li 《The Crop Journal》 SCIE CAS CSCD 2019年第1期113-117,共5页
The Q gene in common wheat encodes an APETALA2(AP2) transcription factor that causes the free threshing attribute. Wheat spikelets bearing several florets are subtended by a pair of soft glumes that allow free liberat... The Q gene in common wheat encodes an APETALA2(AP2) transcription factor that causes the free threshing attribute. Wheat spikelets bearing several florets are subtended by a pair of soft glumes that allow free liberation of seeds. In wild species, the glumes are tough and rigid,making threshing difficult. However, the nature of these "soft glumes", caused by the domestication allele Q is not clear. Here, we found that over expression of Q in common wheat leads to homeotic florets at glume positions. We provide phenotypic, microscopy, and marker genes evidence to demonstrate that the soft glumes of common wheat are in fact lemma-like organs, or so-called sterile-lemmas. By comparing the structures subtending spikelets in wheat and other crops such as rice and maize, we found that AP2 genes may play conserved functions in grasses by manipulating vestigial structures, such as floret-derived soft glumes in wheat and empty glumes in rice. Conversion of these seemingly vegetative organs to reproductive organs may be useful in yield improvement of crop species. 展开更多
关键词 FLORET development SPIKE morphology STERILE lemma Wheat
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Bounded Real Lemma for Generalized Linear System with Finite Discrete Jumps 被引量:1
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作者 何黎明 杨晓军 翁正新 《Journal of Shanghai Jiaotong university(Science)》 EI 2006年第4期440-444,共5页
The strict bounded real lemma for linear system with finite discrete jumps was considered. Especially, the case where D matrices in the system are not assumed to be zero was dealt. Several versions of the bounded real... The strict bounded real lemma for linear system with finite discrete jumps was considered. Especially, the case where D matrices in the system are not assumed to be zero was dealt. Several versions of the bounded real lemma are presented in terms of solution to Riccati differential equations or inequalities with finite discrete jumps. Both the finite and infinite horizon cases are considered. These results generalize the existed bounded real lemma for linear systems. 展开更多
关键词 BOUNDED real lemma SAMPLED-DATA systems RICCATI EQUATIONS
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A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL 被引量:4
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作者 戴绍虞 潘一飞 《Acta Mathematica Scientia》 SCIE CSCD 2014年第6期1775-1780,共6页
In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball. This result extends some related results.
关键词 holomorphic mappings Schwarz-Pick lemma the polydisk
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Synergistic roles of LAX1 and FZP in the development of rice sterile lemma 被引量:1
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作者 Yidong Wang Shanshan Wei +3 位作者 Yubing He Lang Yan Rongchen Wang Yunde Zhao 《The Crop Journal》 SCIE CAS CSCD 2020年第1期16-25,共10页
Rice florets are subtended by two sterile lemmas,whose origin and biological functions have not been studied extensively.Here we demonstrate that two putative transcription factors,LAX PANICLE1(LAX1)and FRIZZY PANICLE... Rice florets are subtended by two sterile lemmas,whose origin and biological functions have not been studied extensively.Here we demonstrate that two putative transcription factors,LAX PANICLE1(LAX1)and FRIZZY PANICLE(FZP),synergistically control the development of sterile lemmas.Both LAX1 and FZP are previously known for their roles in panicle and floret development.Disruption of either LAX1 or FZP greatly reduces the number of floret development.We generated new lax1 mutants(lax1-c)using CRISPR/Cas9 gene editing technology.In addition to the expected lax panicle phenotypes,we noticed that a significant number of spikelets of lax1-c developed elongated sterile lemmas.Moreover,our characterization of lax1-RNAi plants also revealed sterile lemma phenotypes similar to lax1-c mutants.We isolated a weak allele of fzp(fzp-14)in a genetic screen for lax1–1 enhancers.The fzp-14 lax1–1 double mutants completely eliminated flower development.Interestingly,the isolated fzp-14 produced spikelets with elongated sterile lemmas.Furthermore,fzp-14 was haploid-insufficient in the lax1–1 background whereas fzp-14 heterozygous plants were indistinguishable from wild type plants.The lax1–1 fzp-14+/−also developed elongated sterile lemma as observed in lax1-c,lax1-RNAi,and fzp-14,suggesting that LAX1 and FZP synergistically control sterile lemma development. 展开更多
关键词 LAX1 FZP RICE CRISPR Flower development Sterile lemma
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THE EXTENDED JORDAN'S LEMMA AND THE RELATION BETWEEN LAPLACE TRANSFORM AND FOURIER TRANSFORM 被引量:1
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作者 魏志勇 诸永泰 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第6期571-574,共4页
Jordan's lemma can be used for a wider range than the original one. The extended Jordan's lemma can be described as follows. Let f(z) be analytic in the upper half of the z plane (Imz≥0), with the exception o... Jordan's lemma can be used for a wider range than the original one. The extended Jordan's lemma can be described as follows. Let f(z) be analytic in the upper half of the z plane (Imz≥0), with the exception of a finite number of isolated singularities, and for P>o, if then where z=Rei and CR is the open semicircle in the upper half of the z plane.With the extended Jordan's lemma one can find that Laplace transform and Fourier transform are a pair of integral transforms which relate to each other. 展开更多
关键词 extended Jordan's lemma Laplace transform Fourier transform complex variable function
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On necessity proof of strict bounded real lemma for generalized linear systems with finite discrete jumps 被引量:1
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作者 XiaojunYANG ZhengxinWENG ZuohuaTIAN 《控制理论与应用(英文版)》 EI 2004年第4期411-415,共5页
Some preliminary results on strict bounded real lemma for time-varying continuous linear systems are proposed, where uncertainty in initial conditions, terminal cost and extreme of the cost function are dealt with exp... Some preliminary results on strict bounded real lemma for time-varying continuous linear systems are proposed, where uncertainty in initial conditions, terminal cost and extreme of the cost function are dealt with explicitly. Based on these results, a new recursive approach is proposed in the necessity proof of strict bounded real lemma for generalized linear system with finite discrete jumps. 展开更多
关键词 Bounded real lemma Linear systems with finite discrete jumps Riccati equations
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The Extension of Robinson's Sequential Lemma and Its Application 被引量:1
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作者 陈东立 马春晖 卢志义 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第3期471-474,共4页
A. Robinson's sequential lemma is extended to nets in general topological space, and obviously the case of nets in ^*R is its corollary. As its application, the paper proves a property about topology of uniform conv... A. Robinson's sequential lemma is extended to nets in general topological space, and obviously the case of nets in ^*R is its corollary. As its application, the paper proves a property about topology of uniform convergence. 展开更多
关键词 Robinson's sequential lemma MONAD monad of uniformity topology of uniform convergence
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A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL
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作者 Shaoyu DAI Huaihui CHEN 《Acta Mathematica Scientia》 SCIE CSCD 2019年第5期1339-1344,共6页
We establish a precise Schwarz lemma for real-valued and bounded harmonic functions in the real unit ball of dimension n. This extends Chen's Schwarz-Pick lemma for real-valued and bounded planar harmonic mapping.
关键词 HARMONIC FUNCTIONS Schwarz-Pick lemma unit BALL
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Wiener's lemma:localization and various approaches
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作者 SHIN Chang Eon SUN Qi-yu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2013年第4期465-484,共20页
Matrices and integral operators with off-diagonal decay appear in numerous areas of mathematics including numerical analysis and harmonic analysis, and they also play impor-tant roles in engineering science including ... Matrices and integral operators with off-diagonal decay appear in numerous areas of mathematics including numerical analysis and harmonic analysis, and they also play impor-tant roles in engineering science including signal processing and communication engineering. Wiener’s lemma states that the localization of matrices and integral operators are preserved un-der inversion. In this introductory note, we re-examine several approaches to Wiener’s lemma for matrices. We also review briefly some recent advances on localization preservation of operations including nonlinear inversion, matrix factorization and optimization. 展开更多
关键词 Wiener’s lemma infinite matrix stability Wiener algebra Beurling algebra off-diagonal decay inverse closedness
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A BOUNDARY SCHWARZ LEMMA FOR PLURIHARMONIC MAPPINGS FROM THE UNIT POLYDISK TO THE UNIT BALL
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作者 Ling LI Hongyi LI +4 位作者 Di ZHAO LMIB School of Mathematics and Systems Science Beihang University 《Acta Mathematica Scientia》 SCIE CSCD 2018年第3期926-934,共9页
In this article, we present a Schwarz lemma at the boundary for pluriharmonic mappings from the unit polydisk to the unit ball, which generalizes classical Schwarz lemma for bounded harmonic functions to higher dimens... In this article, we present a Schwarz lemma at the boundary for pluriharmonic mappings from the unit polydisk to the unit ball, which generalizes classical Schwarz lemma for bounded harmonic functions to higher dimensions. It is proved that if the pluriharmonic mapping f ∈ P(Dn, BN) is C1+α at z0 ∈ ErDn with f(0) = 0 and f(z0) = ω0∈BN for any n,N ≥ 1, then there exist a nonnegative vector λf =(λ1,0,…,λr,0,…,0)T∈R2 nsatisfying λi≥1/(22 n-1) for 1 ≤ i ≤ r such that where z’0 and w’0 are real versions of z0 and w0, respectively. 展开更多
关键词 Boundary Schwarz lemma pluriharmonic mapping unit polydisk unit ball
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