This paper considers the rational expectations model with multiplicative noise and input delay,where the system dynamics rely on the conditional expectations of future states.The main contribution is to obtain a suffi...This paper considers the rational expectations model with multiplicative noise and input delay,where the system dynamics rely on the conditional expectations of future states.The main contribution is to obtain a sufficient condition for the exact controllability of the rational expectations model.In particular,we derive a sufficient Gramian matrix condition and a rank condition for the delay-free case.The key is the solvability of the backward stochastic difference equations with input delay which is derived from the forward and backward stochastic system.展开更多
In density-based topological design, one expects that the final result consists of elements either black （solid material） or white （void）, without any grey areas. Moreover, one also expects that the optimal topolo...In density-based topological design, one expects that the final result consists of elements either black （solid material） or white （void）, without any grey areas. Moreover, one also expects that the optimal topology can be obtained by starting from any initial topology configuration. An improved structural topological optimization method for multidisplacement constraints is proposed in this paper. In the proposed method, the whole optimization process is divided into two optimization adjustment phases and a phase transferring step. Firstly, an optimization model is built to deal with the varied displacement limits, design space adjustments, and reasonable relations between the element stiffness matrix and mass and its element topology variable. Secondly, a procedure is proposed to solve the optimization problem formulated in the first optimization adjustment phase, by starting with a small design space and advancing to a larger deign space. The design space adjustments are automatic when the design domain needs expansions, in which the convergence of the proposed method will not be affected. The final topology obtained by the proposed procedure in the first optimization phase, can approach to the vicinity of the optimum topology. Then, a heuristic algorithm is given to improve the efficiency and make the designed structural topology black/white in both the phase transferring step and the second optimization adjustment phase. And the optimum topology can finally be obtained by the second phase optimization adjustments. Two examples are presented to show that the topologies obtained by the proposed method are of very good 0/1 design distribution property, and the computational efficiency is enhanced by reducing the element number of the design structural finite model during two optimization adjustment phases. And the examples also show that this method is robust and practicable.展开更多
One of the major changes that has taken place over the past twenty to thirty years has been the extension of the legal recognition and protections for same-sex relationships in a wide range of countries. A number of j...One of the major changes that has taken place over the past twenty to thirty years has been the extension of the legal recognition and protections for same-sex relationships in a wide range of countries. A number of jurisdictions, including China, are considering the approach that they will adopt. This article seeks firstly to consider the justifications for the legal recognition of same-sex relationships by the state. Three main, compelling rationales are identified which are rooted in notions of the equality of all persons, the dignity and liberty of individuals to form close personal relationships, and the social benefits of recognizing close, personal relationships of same-sex couples. The second part of this article then turns to consider the maimer in which same-sex relationships should be recognized. Four models are identified： a ＂Partial Rights＂ model; a ＂Civil Partnerships＂ model; a ＂Marriage Equality＂ model, and a ＂Diversity of Relationships＂ model. Reasons for and against these particular models will be examined. In the conclusion, it shall be argued that the choice of model that has been adopted can be seen to depend on a number of factors： the manner in which equality is conceived in that society; the understanding of same-sex relationships therein, and the religious and cultural opposition to same-sex relationships in that society. The models are also not states of affairs that are fixed for all time and many countries have progressed from less extensive forms of recognition to wider recognition over time. Ultimately, it shall be argued that the rationales underlying the recognition of close personal relationships in the law support the ＂Marriage Equality＂ model or the ＂Diversity of Relationships＂ model. This article thus seeks to provide an understanding of the rationales and models for recognizing same-sex relationships that have been adopted around the world： Its focus is thus comparative but may, in this way, be useful to lawmakers and advocates for legal reform in this area in China and other jurisdictions around the world.展开更多
A method to reparametrize G retional curve to obtain a C^1 curve is given. A practical G^1 continual connective between adjacent NURUS patches along common guadratic boundary curve is presented in this paper, and a s...A method to reparametrize G retional curve to obtain a C^1 curve is given. A practical G^1 continual connective between adjacent NURUS patches along common guadratic boundary curve is presented in this paper, and a specific algorithm for control points and weights of NURBS patches is discussed.展开更多
The stability and high productivity of heterogeneous terpenoid production in Escherichia coli expression system is one of the most key issues for its large scale industrialization.In the current study on taking lycope...The stability and high productivity of heterogeneous terpenoid production in Escherichia coli expression system is one of the most key issues for its large scale industrialization.In the current study on taking lycopene biosynthesis as an example,an integrated Escherichia coli system has been generated successfully,which resulted into stable and high lycopene production.In this process,two modules of mevalonate(MVA)pathway and one module of lycopene expression pathway were completely integrated in the chromosome.Firstly,the copy number and integrated position of three modules of heterologous pathways were rationally optimized.Later,a strain DH416 equipped with heterogeneous expression pathways through chromosomal integration was efficiently derived from parental strain DH411.The evolving DH416 strain efficiently produced the lycopene level of 1.22 g/L(49.9 mg/g DCW)in a 5 L fermenter with mean productivity of 61.0 mg/L/h.Additionally,the integrated strain showed more genetic stability than the plasmid systems after successive 21st passage.展开更多
基金supported by the National Natural Science Foundation of China under Grants 61821004,62250056,62350710214,U23A20325,62350055the Natural Science Foundation of Shandong Province,China(ZR2021ZD14,ZR2021JQ24)+2 种基金High-level Talent Team Project of Qingdao West Coast New Area,China(RCTD-JC-2019-05)Key Research and Development Program of Shandong Province,China(2020CXGC01208)Science and Technology Project of Qingdao West Coast New Area,China(2019-32,2020-20,2020-1-4).
文摘This paper considers the rational expectations model with multiplicative noise and input delay,where the system dynamics rely on the conditional expectations of future states.The main contribution is to obtain a sufficient condition for the exact controllability of the rational expectations model.In particular,we derive a sufficient Gramian matrix condition and a rank condition for the delay-free case.The key is the solvability of the backward stochastic difference equations with input delay which is derived from the forward and backward stochastic system.
基金supported by the National Natural Science Foundation of China (10872036)the High Technological Research and Development Program of China (2008AA04Z118)the Airspace Natural Science Foundation (2007ZA23007)
文摘In density-based topological design, one expects that the final result consists of elements either black （solid material） or white （void）, without any grey areas. Moreover, one also expects that the optimal topology can be obtained by starting from any initial topology configuration. An improved structural topological optimization method for multidisplacement constraints is proposed in this paper. In the proposed method, the whole optimization process is divided into two optimization adjustment phases and a phase transferring step. Firstly, an optimization model is built to deal with the varied displacement limits, design space adjustments, and reasonable relations between the element stiffness matrix and mass and its element topology variable. Secondly, a procedure is proposed to solve the optimization problem formulated in the first optimization adjustment phase, by starting with a small design space and advancing to a larger deign space. The design space adjustments are automatic when the design domain needs expansions, in which the convergence of the proposed method will not be affected. The final topology obtained by the proposed procedure in the first optimization phase, can approach to the vicinity of the optimum topology. Then, a heuristic algorithm is given to improve the efficiency and make the designed structural topology black/white in both the phase transferring step and the second optimization adjustment phase. And the optimum topology can finally be obtained by the second phase optimization adjustments. Two examples are presented to show that the topologies obtained by the proposed method are of very good 0/1 design distribution property, and the computational efficiency is enhanced by reducing the element number of the design structural finite model during two optimization adjustment phases. And the examples also show that this method is robust and practicable.
文摘One of the major changes that has taken place over the past twenty to thirty years has been the extension of the legal recognition and protections for same-sex relationships in a wide range of countries. A number of jurisdictions, including China, are considering the approach that they will adopt. This article seeks firstly to consider the justifications for the legal recognition of same-sex relationships by the state. Three main, compelling rationales are identified which are rooted in notions of the equality of all persons, the dignity and liberty of individuals to form close personal relationships, and the social benefits of recognizing close, personal relationships of same-sex couples. The second part of this article then turns to consider the maimer in which same-sex relationships should be recognized. Four models are identified： a ＂Partial Rights＂ model; a ＂Civil Partnerships＂ model; a ＂Marriage Equality＂ model, and a ＂Diversity of Relationships＂ model. Reasons for and against these particular models will be examined. In the conclusion, it shall be argued that the choice of model that has been adopted can be seen to depend on a number of factors： the manner in which equality is conceived in that society; the understanding of same-sex relationships therein, and the religious and cultural opposition to same-sex relationships in that society. The models are also not states of affairs that are fixed for all time and many countries have progressed from less extensive forms of recognition to wider recognition over time. Ultimately, it shall be argued that the rationales underlying the recognition of close personal relationships in the law support the ＂Marriage Equality＂ model or the ＂Diversity of Relationships＂ model. This article thus seeks to provide an understanding of the rationales and models for recognizing same-sex relationships that have been adopted around the world： Its focus is thus comparative but may, in this way, be useful to lawmakers and advocates for legal reform in this area in China and other jurisdictions around the world.
文摘A method to reparametrize G retional curve to obtain a C^1 curve is given. A practical G^1 continual connective between adjacent NURUS patches along common guadratic boundary curve is presented in this paper, and a specific algorithm for control points and weights of NURBS patches is discussed.
基金supported by grants from the National Key Research and Development Program of China(2018YFA0900300 and 2019YFA090141)the National Science and Technology Major Project(2017ZX07402003).
文摘The stability and high productivity of heterogeneous terpenoid production in Escherichia coli expression system is one of the most key issues for its large scale industrialization.In the current study on taking lycopene biosynthesis as an example,an integrated Escherichia coli system has been generated successfully,which resulted into stable and high lycopene production.In this process,two modules of mevalonate(MVA)pathway and one module of lycopene expression pathway were completely integrated in the chromosome.Firstly,the copy number and integrated position of three modules of heterologous pathways were rationally optimized.Later,a strain DH416 equipped with heterogeneous expression pathways through chromosomal integration was efficiently derived from parental strain DH411.The evolving DH416 strain efficiently produced the lycopene level of 1.22 g/L(49.9 mg/g DCW)in a 5 L fermenter with mean productivity of 61.0 mg/L/h.Additionally,the integrated strain showed more genetic stability than the plasmid systems after successive 21st passage.
