Histone lysine methylation plays an important role in heterochromatin formation and reprogramming of gene expression. SET-domain-containing proteins are shown to have histone lysine methyltransferase activities. A lar...Histone lysine methylation plays an important role in heterochromatin formation and reprogramming of gene expression. SET-domain-containing proteins are shown to have histone lysine methyltransferase activities. A large number of SET-domain genes are identified in plant genomes. The function of most SET-domain genes is not known. In this work, we studied the 12 rice （Oryza sativa） homologs of Su（var）3-9, the histone H3 lysine 9 （H3K9） methyltransferase identified in Drosophila. Several rice SUVHs （i.e. SDG714, SDG727, and SDG710） were found to have an antagonistic func- tion to the histone H3K9 demethylase JMJ706, as down-regulation of these genes could partially complement the jmj706 phenotype and reduced histone H3K9 methylation. Down-regulation of a rice Su（var）3-9 homolog （SUVH）, namely SDG728, decreased H3K9 methylation and altered seed morphology. Overexpression of the gene increased H3K9 methylation. SDG728 and other SUVH genes were found to be involved in the repression of retrotransposons such as Tos17 and a Tyl-copia element. Analysis of histone methylation suggested that SDG728-mediated H3K9 methylation may play an important role in retrotransposon repression.展开更多
In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic fu...In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic functions of infinite order in an angular domain and obtain some results. Moreover, examples show that the conditions in theorems are necessary.展开更多
There have been lots of papers on the uniqueness theory of entire functions concerning shared-sets in the whole complex plane. However, it seems that the uniqueness theory in an angular domain is not widely investigat...There have been lots of papers on the uniqueness theory of entire functions concerning shared-sets in the whole complex plane. However, it seems that the uniqueness theory in an angular domain is not widely investigated. In this paper, we study the uniqueness of entire functions concerning shared-sets in an angular domain instead of the whole complex plane, and we supply examples to show that Theorem 1 is sharp.展开更多
The aim of this paper is to study the determination of the stability regions for continuous-time systems subject to actuator saturation. Using an affine saturation-dependent Lyapunov function, a new method is proposed...The aim of this paper is to study the determination of the stability regions for continuous-time systems subject to actuator saturation. Using an affine saturation-dependent Lyapunov function, a new method is proposed to obtain the estimation of the domain of attraction of the closed-loop system. A family of linear matrix inequalities （LMIs） that provides sufficient conditions for the existence of this type of Lyapunov function are presented. The results obtained in this paper can reduce the conservativeness compared with the existing ones. Numerical examples are given to illustrate the effectiveness of the proposed results.展开更多
We study the class of functions called monodiffric of the second kind by Isaacs. They are discrete analogues of holomorphic functions of one or two complex variables. Discrete analogues of the Cauchy-Riemann operator,...We study the class of functions called monodiffric of the second kind by Isaacs. They are discrete analogues of holomorphic functions of one or two complex variables. Discrete analogues of the Cauchy-Riemann operator, of domains of holomorphy in one discrete variable, and of the Hartogs phenomenon in two discrete variables are investigated. Two fundamental solutions to the discrete Cauchy-Riemann equation are studied: one with support in a quadrant, the other with decay at infinity. The first is easy to construct by induction; the second is accessed via its Fourier transform.展开更多
This paper investigates the estimation of domain of attraction for nonlinear port controlled Hamiltonian （PCH） systems with actuator saturation （AS）. Several conditions are established under which an ellipsoid is ...This paper investigates the estimation of domain of attraction for nonlinear port controlled Hamiltonian （PCH） systems with actuator saturation （AS）. Several conditions are established under which an ellipsoid is contractively invariant, and thus can be employed to find the biggest ellipsoid contained in the domain of attraction. It is shown that the proposed conditions can be expressed in the form of the linear matrix inequalities （LMIs） optimization problem with constraints. Study of an illustrative example shows that the proposed method works very well in estimating the domain of attraction for some classes of nonlinear PCH systems with AS.展开更多
In this paper, we consider Newton＇s method for a class of entire functions with infinite order. By using theory of dynamics of functions meromorphic outside a small set, we find there are some series of virtual immed...In this paper, we consider Newton＇s method for a class of entire functions with infinite order. By using theory of dynamics of functions meromorphic outside a small set, we find there are some series of virtual immediate basins in which the dynamics converges to infinity and a series of immediate basins with finite area in the Fatou sets of Newton＇s method.展开更多
文摘Histone lysine methylation plays an important role in heterochromatin formation and reprogramming of gene expression. SET-domain-containing proteins are shown to have histone lysine methyltransferase activities. A large number of SET-domain genes are identified in plant genomes. The function of most SET-domain genes is not known. In this work, we studied the 12 rice （Oryza sativa） homologs of Su（var）3-9, the histone H3 lysine 9 （H3K9） methyltransferase identified in Drosophila. Several rice SUVHs （i.e. SDG714, SDG727, and SDG710） were found to have an antagonistic func- tion to the histone H3K9 demethylase JMJ706, as down-regulation of these genes could partially complement the jmj706 phenotype and reduced histone H3K9 methylation. Down-regulation of a rice Su（var）3-9 homolog （SUVH）, namely SDG728, decreased H3K9 methylation and altered seed morphology. Overexpression of the gene increased H3K9 methylation. SDG728 and other SUVH genes were found to be involved in the repression of retrotransposons such as Tos17 and a Tyl-copia element. Analysis of histone methylation suggested that SDG728-mediated H3K9 methylation may play an important role in retrotransposon repression.
基金Supported by the NNSFC (10671109)the NSFFC(2008J0190)+1 种基金the Research Fund for Talent Introduction of Ningde Teachers College (2009Y019)the Scitific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
文摘In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic functions of infinite order in an angular domain and obtain some results. Moreover, examples show that the conditions in theorems are necessary.
基金the National Natural Science Foundation of China (10671109)the Research Foundation of Doctor Points of China (20060422049)+1 种基金the JSPS Post Doctoral Fellowship Programthe Fujian Province Natural Science Foundation (2008J0190)
文摘There have been lots of papers on the uniqueness theory of entire functions concerning shared-sets in the whole complex plane. However, it seems that the uniqueness theory in an angular domain is not widely investigated. In this paper, we study the uniqueness of entire functions concerning shared-sets in an angular domain instead of the whole complex plane, and we supply examples to show that Theorem 1 is sharp.
基金supported by the National Creative Research Groups Science Foundation of China (No.60721062)the National High Technology Research and Development Program of China (863 Program) (No.2006AA04 Z182)National Natural Science Foundation of China (No.60736021)
文摘The aim of this paper is to study the determination of the stability regions for continuous-time systems subject to actuator saturation. Using an affine saturation-dependent Lyapunov function, a new method is proposed to obtain the estimation of the domain of attraction of the closed-loop system. A family of linear matrix inequalities （LMIs） that provides sufficient conditions for the existence of this type of Lyapunov function are presented. The results obtained in this paper can reduce the conservativeness compared with the existing ones. Numerical examples are given to illustrate the effectiveness of the proposed results.
文摘We study the class of functions called monodiffric of the second kind by Isaacs. They are discrete analogues of holomorphic functions of one or two complex variables. Discrete analogues of the Cauchy-Riemann operator, of domains of holomorphy in one discrete variable, and of the Hartogs phenomenon in two discrete variables are investigated. Two fundamental solutions to the discrete Cauchy-Riemann equation are studied: one with support in a quadrant, the other with decay at infinity. The first is easy to construct by induction; the second is accessed via its Fourier transform.
基金supported by the National Nature Science Foundation of China (Nos. 61174036, 61074068, 61034007)the Independent Innovation Foundation of Shandong University (No. 2010TS078)the Research Fund for the Taishan Scholar Project of Shandong Province
文摘This paper investigates the estimation of domain of attraction for nonlinear port controlled Hamiltonian （PCH） systems with actuator saturation （AS）. Several conditions are established under which an ellipsoid is contractively invariant, and thus can be employed to find the biggest ellipsoid contained in the domain of attraction. It is shown that the proposed conditions can be expressed in the form of the linear matrix inequalities （LMIs） optimization problem with constraints. Study of an illustrative example shows that the proposed method works very well in estimating the domain of attraction for some classes of nonlinear PCH systems with AS.
基金Supported by the Scientific Research Fund of Hunan Provincial Education Department (Grant No06C245)
文摘In this paper, we consider Newton＇s method for a class of entire functions with infinite order. By using theory of dynamics of functions meromorphic outside a small set, we find there are some series of virtual immediate basins in which the dynamics converges to infinity and a series of immediate basins with finite area in the Fatou sets of Newton＇s method.
