The question of“Marx and justice”has been a key theoretical and practical issue that has attracted academic attention and discussion both at home and abroad since the birth of Marxism,and in particular since the 197...The question of“Marx and justice”has been a key theoretical and practical issue that has attracted academic attention and discussion both at home and abroad since the birth of Marxism,and in particular since the 1970s.From the perspective of historical materialism,Marx’s concept of justice is rooted in material practice rather than abstraction;it is the organic union of distributive justice and productive justice that transcends the limitations of traditional ideas on distributive justice.Marx’s concept of justice as the union of distributive justice and productive justice is mainly reflected in his Capital.Allen Wood and Z.I.Husami,with other Western scholars,have engaged in a dispute over the question of“Marx and justice.”Wood and Husami’s views,though quite different,are confined to the theory of distributive justice.John Rawls’justice theory,which emphasizes equity,has also failed to reach the lofty heights of Marx’s theory of justice.Marx’s concept of justice,as developed in Capital,has the“full and free development of every individual”at its core and integrates distributive justice and productive justice.It transcends the abstract concept of justice of the bourgeoisie that centering on equal rights reflects the dialectical unity of historical logic,the logic of reality and the logic of theory and practice.展开更多
This paper considers the finite-time consensus problem for a stochastic multi-species system. First, we give out a nonlinear consensus protocol for the multi-species system with Brownian motion, and propose the defini...This paper considers the finite-time consensus problem for a stochastic multi-species system. First, we give out a nonlinear consensus protocol for the multi-species system with Brownian motion, and propose the definition of finite-time consensus in probability. Second, we prove that the multi-species system can achieve finite-time consensus in probability with different proper protocols by use of graph theory, stochastic Lyapunov function method and probability theory. Finally, some simulations are provided to illustrate the effectiveness of the theoretical results.展开更多
This paper investigates the equality-constrained minimization of polynomial functions. Let R be the field of real numbers, and R[x1,..., xn] the ring of polynomials over R in variables x1,..., xn. For an f ∈ R[x1,......This paper investigates the equality-constrained minimization of polynomial functions. Let R be the field of real numbers, and R[x1,..., xn] the ring of polynomials over R in variables x1,..., xn. For an f ∈ R[x1,..., xn] and a finite subset H of R[x1,..., xn], denote by V(f : H) the set {f( ˉα) | ˉα∈ Rn, and h( ˉα) =0, ? h ∈ H}. We provide an effective algorithm for computing a finite set U of non-zero univariate polynomials such that the infimum inf V(f : H) of V(f : H) is a root of some polynomial in U whenever inf V(f : H) = ±∞.The strategies of this paper are decomposing a finite set of polynomials into triangular chains of polynomials and computing the so-called revised resultants. With the aid of the computer algebraic system Maple, our algorithm has been made into a general program to treat the equality-constrained minimization of polynomials with rational coefficients.展开更多
文摘The question of“Marx and justice”has been a key theoretical and practical issue that has attracted academic attention and discussion both at home and abroad since the birth of Marxism,and in particular since the 1970s.From the perspective of historical materialism,Marx’s concept of justice is rooted in material practice rather than abstraction;it is the organic union of distributive justice and productive justice that transcends the limitations of traditional ideas on distributive justice.Marx’s concept of justice as the union of distributive justice and productive justice is mainly reflected in his Capital.Allen Wood and Z.I.Husami,with other Western scholars,have engaged in a dispute over the question of“Marx and justice.”Wood and Husami’s views,though quite different,are confined to the theory of distributive justice.John Rawls’justice theory,which emphasizes equity,has also failed to reach the lofty heights of Marx’s theory of justice.Marx’s concept of justice,as developed in Capital,has the“full and free development of every individual”at its core and integrates distributive justice and productive justice.It transcends the abstract concept of justice of the bourgeoisie that centering on equal rights reflects the dialectical unity of historical logic,the logic of reality and the logic of theory and practice.
基金We would like to thank the editor and referee for their very helpful comments and suggestions which improve this paper significantly. This research is supported by the National Natural Science Foundation of China （Nos. 11461053 and 11261043） （China）, the School Foundation of Ningxia University （No. ZR1315） （China）.
文摘This paper considers the finite-time consensus problem for a stochastic multi-species system. First, we give out a nonlinear consensus protocol for the multi-species system with Brownian motion, and propose the definition of finite-time consensus in probability. Second, we prove that the multi-species system can achieve finite-time consensus in probability with different proper protocols by use of graph theory, stochastic Lyapunov function method and probability theory. Finally, some simulations are provided to illustrate the effectiveness of the theoretical results.
基金supported by National Natural Science Foundation of China(Grant No.11161034)
文摘This paper investigates the equality-constrained minimization of polynomial functions. Let R be the field of real numbers, and R[x1,..., xn] the ring of polynomials over R in variables x1,..., xn. For an f ∈ R[x1,..., xn] and a finite subset H of R[x1,..., xn], denote by V(f : H) the set {f( ˉα) | ˉα∈ Rn, and h( ˉα) =0, ? h ∈ H}. We provide an effective algorithm for computing a finite set U of non-zero univariate polynomials such that the infimum inf V(f : H) of V(f : H) is a root of some polynomial in U whenever inf V(f : H) = ±∞.The strategies of this paper are decomposing a finite set of polynomials into triangular chains of polynomials and computing the so-called revised resultants. With the aid of the computer algebraic system Maple, our algorithm has been made into a general program to treat the equality-constrained minimization of polynomials with rational coefficients.
