A natural generalization of random choice finite difference scheme of Harten and Lax for Courant number larger than 1 is obtained. We handle interactions between neighboring Riemann solvers by linear superposition of ...A natural generalization of random choice finite difference scheme of Harten and Lax for Courant number larger than 1 is obtained. We handle interactions between neighboring Riemann solvers by linear superposition of their conserved quantities. We show consistency of the scheme for arbitrarily large Courant numbers. For scalar problems the scheme is total variation diminishing.A brief discussion is given for entropy condition.展开更多
Let {εt; t ∈ Z^＋} be a strictly stationary sequence of associated random variables with mean zeros, let 0〈Eε1^2〈∞ and σ^2=Eε1^2＋1∑j=2^∞ Eε1εj with 0〈σ^2〈∞.{aj;j∈Z^＋} is a sequence of real numbers s...Let {εt; t ∈ Z^＋} be a strictly stationary sequence of associated random variables with mean zeros, let 0〈Eε1^2〈∞ and σ^2=Eε1^2＋1∑j=2^∞ Eε1εj with 0〈σ^2〈∞.{aj;j∈Z^＋} is a sequence of real numbers satisfying ∑j=0^∞｜aj｜〈∞.Define a linear process Xt=∑j=0^∞ ajεt-j,t≥1,and Sn=∑t=1^n Xt,n≥1.Assume that E｜ε1｜^2＋δ′〈 for some δ′〉0 and μ（n）=O（n^-ρ） for some ρ〉0.This paper achieves a general law of precise asymptotics for {Sn}.展开更多
All life forms in the universe have four-seasonal structure, four-seasonal movement, four gradations, and rise and fall of four gradations. This is the common feature of all life forms in the universe and the general ...All life forms in the universe have four-seasonal structure, four-seasonal movement, four gradations, and rise and fall of four gradations. This is the common feature of all life forms in the universe and the general law of the universe. The unity of the universe includes the unity of all universal forces which consist of two kinds, physical force and life force. The former includes bonding force, strong interaction, quark confinement, weak interaction, electromagnetic interaction and gravitational interaction and is also called four-seasonal structure. The latter lies inside the life forms, combines life beings and pushes the four-seasonal movement and rise-fall movement inside life forms. Life force includes transverse four-seasonal force, longitudinal four-seasonal force, four-gradation force, life being structural force and four-gradation rise-fail force. All these forces are united to form a complex life force system. Life force is also a compound, integral, long-range and automatically-closed four-seasonal force. Life being structural force is a force that connects all parts of a life being to make it an integral being. In the universe, life being structural force is an invisible three-dimensional net and a rigid structure and movement. It endows all heavenly bodies with a highly orderly structure and movement. Morality is the dominator of the universe. The whole universe is a moral system and all things in it have morality. Morality is also presented as a force, namely moral force, including rise force and fall force. The unity of all forces in the universe is the general law of the universe.展开更多
Study of the general theory of law,as an independent branch of legal research,originated in Germany in the mid to late 19th century,and thereafter became a widely propagated and well-developed subject in countries suc...Study of the general theory of law,as an independent branch of legal research,originated in Germany in the mid to late 19th century,and thereafter became a widely propagated and well-developed subject in countries such as the UK and the US.Scholars from the Soviet Union combined the general theory of law with Marxist philosophy and adapted it from an analytical legal theory to a social legal theory.The inheritance and development of the general theory of law in China went through three stages.Specifically,from the 1950s to the early 1960s,the jurisprudence community fully adopted the legal theories promoted by the Soviet Union;from the early 1980s to the late 1990s,the studies reflected upon past theories and sought advancement;and from the late 1990s to present,research has adopted a more open and innovative approach.In addition,the philosophy of law and other interdisciplinary subjects have gradually become dominant research paradigms.A review and compilation based on the evolution of theories of legal relations showed that the study of the general theory of law in China is closely associated to the historical rate of progress of the practice of rule of law and jurisprudence in China.The overall framework of the research is deeply influenced by the model of“theories of the Soviet+civil-law prototypes”.In addition,the research methods have evolved from investigations utilizing a single approach to processes combining various approaches.The general theory of law is far from a“relic of history,”and corresponding in-depth research is recommended for future jurisprudence study in China.展开更多
In this paper, we deal with the model with a very general growth law and an M- driven diffusion For the general case of time dependent functions M and #, the existence and uniqueness for positive solution is obtained....In this paper, we deal with the model with a very general growth law and an M- driven diffusion For the general case of time dependent functions M and #, the existence and uniqueness for positive solution is obtained. If M and # are T0-periodic functions in t, then there is an attractive positive periodic solution. Furthermore, if M and # are time-independent, then the non-constant stationary solution M（x） is globally stable. Thus, we can easily formulate the conditions deriving the above behaviors for specific population models with the logistic growth law, Gilpin-Ayala growth law and Gompertz growth law, respectively. We answer an open problem proposed by L. Korobenko and E. Braverman in [Can. Appl. Math. Quart. 17（2009） 85-104].展开更多
The authors achieve a general law of precise asymptotics for a new kind of complete moment convergence of i.i.d. random variables, which includes complete con- vergence as a special case. It can describe the relations...The authors achieve a general law of precise asymptotics for a new kind of complete moment convergence of i.i.d. random variables, which includes complete con- vergence as a special case. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in studies of complete convergence. This extends and generalizes the corresponding results of Liu and Lin in 2006.展开更多
Let{Xn,n≥1}be a strictly stationary LNQD(LPQD)sequence of positive random variables with EX1=μ〉0,and VarX1=σ^2〈∞.Denote by Sn=∑i=1^n Xi andγ=σ/μthe coefficients of variation.In this paper,under some suitable...Let{Xn,n≥1}be a strictly stationary LNQD(LPQD)sequence of positive random variables with EX1=μ〉0,and VarX1=σ^2〈∞.Denote by Sn=∑i=1^n Xi andγ=σ/μthe coefficients of variation.In this paper,under some suitable conditions,we show that a general law of precise asymptotics for products of sums holds.It can describe the relations among the boundary function,weighted function,convergence rate and limit value in the study of complete convergence.展开更多
The General Provisions of Civil Law(民法通则),formulated in the early days of reform and opening up,was a special law that set out the basic principles or rules of civil law,defining civil subjects,civil legal acts an...The General Provisions of Civil Law(民法通则),formulated in the early days of reform and opening up,was a special law that set out the basic principles or rules of civil law,defining civil subjects,civil legal acts and the agency system,declaring the civil rights enjoyed by civil subjects,establishing a relatively complete system of civil liability system,and so on.It kindled awareness of civil rights among the mass of the population,ensured China’s rapid economic and social development,and laid down a basic framework and content for the civil code,so holds an important position in contemporary Chinese history.But with the development of the economy and society,civil law has had to change with the times.Civil law jurisprudence injects theoretical support into contemporary civil law legislation,and the blueprint for law based governance provides a powerful impetus to the historic leap forward of contemporary Chinese civil law,providing the necessary conditions for the codification of civil law.The completion of the General Rules of Civil Law(民法总则)answers the requirements of the economic,humanist and legal character of the times,demonstrates the humanist stance and spirit of the civil code,rises to the challenge of modern scientific and technological development,and ensures people’s enjoyment and control of their new-style rights and their objective forms.This signifies that the GPCL has accomplished its historical task and civil law in contemporary China has realized a historic leap forward,laying a foundation for the compilation of the Chinese civil code,including the specific provisions of the framework and the contents of its individual parts.展开更多
In this issue we will introduce readers to the General Principles of the Civil Lave of the People's Republic of China, which was adopted at the Fourth Session of the Sixth National People's Congress, promulgat...In this issue we will introduce readers to the General Principles of the Civil Lave of the People's Republic of China, which was adopted at the Fourth Session of the Sixth National People's Congress, promulgated by order No.37 of the President of the People's Republic of China on April 12, 1986, and effective as of January 1, 1987.This law was formulated according to the constitution and the actual situation in our country, drawing upon our practical experience in civil actirities,for the purpose of protecting the lawful civil rights and interests of citizens and legal persons and correctly adjusting civil relations,so as to meet the needs of the developing socialist modernizationThe Civil Law of the People's Republie of China has 156 articles and 9 chapters. The chapters are:1) Basic Principles;2) Citizen (Natural Person); 3) Legal Persons; 4) Civil Law and Agencies; 5)Civil Rights; 6) Civil Liability; 7) Limitations of Action; 8) Application of Law in Civil Relations with Foreigners; and 9) Supplementary Provisions.All the articles apply to women. We have only extracted some of them which are concerning the protection of rights and interests of women and children.展开更多
The paper focuses on the largest eigenvalues of theβ-Hermite ensemble and theβ-Laguerre ensemble. In particular, we obtain the precise moment convergence rates of their largest eigenvalues. The results are motivated...The paper focuses on the largest eigenvalues of theβ-Hermite ensemble and theβ-Laguerre ensemble. In particular, we obtain the precise moment convergence rates of their largest eigenvalues. The results are motivated by the complete convergence for partial sums of i.i.d, random variables, and the proofs depend on the small deviations for largest eigenvalues of the β ensembles and tail inequalities of the generalβ Tracy-Widom law.展开更多
基金The Project Supported by National Natural Science Foundation of China.
文摘A natural generalization of random choice finite difference scheme of Harten and Lax for Courant number larger than 1 is obtained. We handle interactions between neighboring Riemann solvers by linear superposition of their conserved quantities. We show consistency of the scheme for arbitrarily large Courant numbers. For scalar problems the scheme is total variation diminishing.A brief discussion is given for entropy condition.
基金National Natural Science Foundation of China(10571073).
文摘Let {εt; t ∈ Z^＋} be a strictly stationary sequence of associated random variables with mean zeros, let 0〈Eε1^2〈∞ and σ^2=Eε1^2＋1∑j=2^∞ Eε1εj with 0〈σ^2〈∞.{aj;j∈Z^＋} is a sequence of real numbers satisfying ∑j=0^∞｜aj｜〈∞.Define a linear process Xt=∑j=0^∞ ajεt-j,t≥1,and Sn=∑t=1^n Xt,n≥1.Assume that E｜ε1｜^2＋δ′〈 for some δ′〉0 and μ（n）=O（n^-ρ） for some ρ〉0.This paper achieves a general law of precise asymptotics for {Sn}.
文摘All life forms in the universe have four-seasonal structure, four-seasonal movement, four gradations, and rise and fall of four gradations. This is the common feature of all life forms in the universe and the general law of the universe. The unity of the universe includes the unity of all universal forces which consist of two kinds, physical force and life force. The former includes bonding force, strong interaction, quark confinement, weak interaction, electromagnetic interaction and gravitational interaction and is also called four-seasonal structure. The latter lies inside the life forms, combines life beings and pushes the four-seasonal movement and rise-fall movement inside life forms. Life force includes transverse four-seasonal force, longitudinal four-seasonal force, four-gradation force, life being structural force and four-gradation rise-fail force. All these forces are united to form a complex life force system. Life force is also a compound, integral, long-range and automatically-closed four-seasonal force. Life being structural force is a force that connects all parts of a life being to make it an integral being. In the universe, life being structural force is an invisible three-dimensional net and a rigid structure and movement. It endows all heavenly bodies with a highly orderly structure and movement. Morality is the dominator of the universe. The whole universe is a moral system and all things in it have morality. Morality is also presented as a force, namely moral force, including rise force and fall force. The unity of all forces in the universe is the general law of the universe.
基金the phased achievement of an ongoing project sponsored by the“Qian Duansheng Support Plan for Outstanding Scholars of China University of Political Science and Law”.
文摘Study of the general theory of law,as an independent branch of legal research,originated in Germany in the mid to late 19th century,and thereafter became a widely propagated and well-developed subject in countries such as the UK and the US.Scholars from the Soviet Union combined the general theory of law with Marxist philosophy and adapted it from an analytical legal theory to a social legal theory.The inheritance and development of the general theory of law in China went through three stages.Specifically,from the 1950s to the early 1960s,the jurisprudence community fully adopted the legal theories promoted by the Soviet Union;from the early 1980s to the late 1990s,the studies reflected upon past theories and sought advancement;and from the late 1990s to present,research has adopted a more open and innovative approach.In addition,the philosophy of law and other interdisciplinary subjects have gradually become dominant research paradigms.A review and compilation based on the evolution of theories of legal relations showed that the study of the general theory of law in China is closely associated to the historical rate of progress of the practice of rule of law and jurisprudence in China.The overall framework of the research is deeply influenced by the model of“theories of the Soviet+civil-law prototypes”.In addition,the research methods have evolved from investigations utilizing a single approach to processes combining various approaches.The general theory of law is far from a“relic of history,”and corresponding in-depth research is recommended for future jurisprudence study in China.
基金Supported by the National Natural Science Foundation of China(11271342)
文摘In this paper, we deal with the model with a very general growth law and an M- driven diffusion For the general case of time dependent functions M and #, the existence and uniqueness for positive solution is obtained. If M and # are T0-periodic functions in t, then there is an attractive positive periodic solution. Furthermore, if M and # are time-independent, then the non-constant stationary solution M（x） is globally stable. Thus, we can easily formulate the conditions deriving the above behaviors for specific population models with the logistic growth law, Gilpin-Ayala growth law and Gompertz growth law, respectively. We answer an open problem proposed by L. Korobenko and E. Braverman in [Can. Appl. Math. Quart. 17（2009） 85-104].
基金supported by the National Natural Science Foundation of China(No.10571073)the 985 Program of Jilin University.
文摘The authors achieve a general law of precise asymptotics for a new kind of complete moment convergence of i.i.d. random variables, which includes complete con- vergence as a special case. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in studies of complete convergence. This extends and generalizes the corresponding results of Liu and Lin in 2006.
基金Supported by National Natural Science Foundation of China(Grant No.10571073)
文摘Let{Xn,n≥1}be a strictly stationary LNQD(LPQD)sequence of positive random variables with EX1=μ〉0,and VarX1=σ^2〈∞.Denote by Sn=∑i=1^n Xi andγ=σ/μthe coefficients of variation.In this paper,under some suitable conditions,we show that a general law of precise asymptotics for products of sums holds.It can describe the relations among the boundary function,weighted function,convergence rate and limit value in the study of complete convergence.
基金This paper is a phased result of“Research on the Important Issues in Compiling the GRCL,”a major project of the Humanities and Social Science Fund,Ministry of Education(15JJD820009).
文摘The General Provisions of Civil Law(民法通则),formulated in the early days of reform and opening up,was a special law that set out the basic principles or rules of civil law,defining civil subjects,civil legal acts and the agency system,declaring the civil rights enjoyed by civil subjects,establishing a relatively complete system of civil liability system,and so on.It kindled awareness of civil rights among the mass of the population,ensured China’s rapid economic and social development,and laid down a basic framework and content for the civil code,so holds an important position in contemporary Chinese history.But with the development of the economy and society,civil law has had to change with the times.Civil law jurisprudence injects theoretical support into contemporary civil law legislation,and the blueprint for law based governance provides a powerful impetus to the historic leap forward of contemporary Chinese civil law,providing the necessary conditions for the codification of civil law.The completion of the General Rules of Civil Law(民法总则)answers the requirements of the economic,humanist and legal character of the times,demonstrates the humanist stance and spirit of the civil code,rises to the challenge of modern scientific and technological development,and ensures people’s enjoyment and control of their new-style rights and their objective forms.This signifies that the GPCL has accomplished its historical task and civil law in contemporary China has realized a historic leap forward,laying a foundation for the compilation of the Chinese civil code,including the specific provisions of the framework and the contents of its individual parts.
文摘In this issue we will introduce readers to the General Principles of the Civil Lave of the People's Republic of China, which was adopted at the Fourth Session of the Sixth National People's Congress, promulgated by order No.37 of the President of the People's Republic of China on April 12, 1986, and effective as of January 1, 1987.This law was formulated according to the constitution and the actual situation in our country, drawing upon our practical experience in civil actirities,for the purpose of protecting the lawful civil rights and interests of citizens and legal persons and correctly adjusting civil relations,so as to meet the needs of the developing socialist modernizationThe Civil Law of the People's Republie of China has 156 articles and 9 chapters. The chapters are:1) Basic Principles;2) Citizen (Natural Person); 3) Legal Persons; 4) Civil Law and Agencies; 5)Civil Rights; 6) Civil Liability; 7) Limitations of Action; 8) Application of Law in Civil Relations with Foreigners; and 9) Supplementary Provisions.All the articles apply to women. We have only extracted some of them which are concerning the protection of rights and interests of women and children.
基金Supported partly by the National Natural Science Foundation of China (Grant Nos. 11071213, 11101362)Zhejiang Provincial Natural Science Foundation of China (Grant No. R6090034)Research Fund for the Doctoral Program of Higher Education (Grant No. 20100101110001)
文摘The paper focuses on the largest eigenvalues of theβ-Hermite ensemble and theβ-Laguerre ensemble. In particular, we obtain the precise moment convergence rates of their largest eigenvalues. The results are motivated by the complete convergence for partial sums of i.i.d, random variables, and the proofs depend on the small deviations for largest eigenvalues of the β ensembles and tail inequalities of the generalβ Tracy-Widom law.
