In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order ...In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order regular variation condition.展开更多
New existence results are presented for the singular second-order nonlinear boundary value problems u ' + g(t)f(u) = 0, 0 < t < 1, au(0) - betau ' (0) = 0, gammau(1) + deltau ' (1) = 0 under the cond...New existence results are presented for the singular second-order nonlinear boundary value problems u ' + g(t)f(u) = 0, 0 < t < 1, au(0) - betau ' (0) = 0, gammau(1) + deltau ' (1) = 0 under the conditions 0 less than or equal to f(0)(+) < M-1, m(1) < f(infinity)(-)less than or equal to infinity or 0 less than or equal to f(infinity)(+)< M-1, m(1) < f (-)(0)less than or equal to infinity where f(0)(+) = lim(u -->0)f(u)/u, f(infinity)(-)= lim(u --> infinity)f(u)/u, f(0)(-)= lim(u -->0)f(u)/u, f(infinity)(+) = lim(u --> infinity)f(u)/u, g may be singular at t = 0 and/or t = 1. The proof uses a fixed point theorem in cone theory.展开更多
Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive...Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive solutions are obtained. The associated Green function of this problem is also given.展开更多
We propose and analyze a single-interval Legendre-Gauss-Radau(LGR)spectral collocation method for nonlinear second-order initial value problems of ordinary differential equations.We design an efficient iterative algor...We propose and analyze a single-interval Legendre-Gauss-Radau(LGR)spectral collocation method for nonlinear second-order initial value problems of ordinary differential equations.We design an efficient iterative algorithm and prove spectral convergence for the single-interval LGR collocation method.For more effective implementation,we propose a multi-interval LGR spectral collocation scheme,which provides us great flexibility with respect to the local time steps and local approximation degrees.Moreover,we combine the multi-interval LGR collocation method in time with the Legendre-Gauss-Lobatto collocation method in space to obtain a space-time spectral collocation approximation for nonlinear second-order evolution equations.Numerical results show that the proposed methods have high accuracy and excellent long-time stability.Numerical comparison between our methods and several commonly used methods are also provided.展开更多
From the concept of the customer relationship, this article analyzes the current difticulties, and puts forward the value judg- ment and the optimal path of the customer relationship management in the domestic tourism...From the concept of the customer relationship, this article analyzes the current difticulties, and puts forward the value judg- ment and the optimal path of the customer relationship management in the domestic tourism projects. In order to make the discussion more concrete, this paper will take the ＂rural tourism projects in Phoenix City＂ as the object of study. Through the heterogeneity and coordina- tion, establish the value judgment, and the optimization measures under the reflection on the current situation can be constructed from four aspects.展开更多
This paper considers eigenstructure assignment in second-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related to a type of so-called second-order Sylvester ma...This paper considers eigenstructure assignment in second-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related to a type of so-called second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effectiveness of the proposed approaches. Keywords Second-order linear systems - Eigenstructure assignment - Proportional plus derivative feedback - Parametric solution - Singular value decompoition - Right factorization This work was supported in part by the Chinese Outstanding Youth Foundation (No.69504002).展开更多
A new method in making judgment matrix is proposed based on a basic value of “importance” and a relative measure level of “importance”. Factors affecting petroleum exploration are analyzed and Experts’ judgment m...A new method in making judgment matrix is proposed based on a basic value of “importance” and a relative measure level of “importance”. Factors affecting petroleum exploration are analyzed and Experts’ judgment matrix on a geologic formation is given. Expected value of each factor is computed and the volume of recoverable oil is estimated.展开更多
A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is nondifferentiable. Under second-order in...A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is nondifferentiable. Under second-order invexity and second-order pseudoinvexity, weak, strong and converse duality theorems are established for this pair of dual problems. Special cases are deduced and a pair of dual continuous problems with natural boundary values is constructed. A close relationship between duality results of our problems and those of the corresponding (static) nonlinear programming problem with support functions is briefly outlined.展开更多
A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general para...A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general parametric solutions to this type of generalized matrix second-order Sylvester matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the fight factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass-dashpot system is utilized to illustrate the design procedure and show the effect of the proposed approach.展开更多
Among the existing researches on brand value,few of them focused on the demands of the companies in the clothing industry to brand value. There were three innovation points as follows: first of all,two key demands of ...Among the existing researches on brand value,few of them focused on the demands of the companies in the clothing industry to brand value. There were three innovation points as follows: first of all,two key demands of apparel companies to existing brand value were summarized through investigation; then,the concept of rapid brand value evaluation and multi-dimensional factors( MDFs) was presented; finally,the relationship between apparel corporate brand value and the sales revenue in apparel market with the sales revenue was proven by empirical research.During the process of empirical study,the sales revenue data of 66 apparel enterprises domestic and abroad were collected,and the regression analysis has been done on the relationship between the corporate brand value and the apparel market sales revenue of apparel enterprise. The empirical research showed that they were positively correlated to each other. This conclusion presented a method of judging brand value development trend quickly by single indicator.展开更多
We establish the existence of positive solutions for singular boundary value problems of coupled systems? The proof relies on Schauder’s fixed point theorem. Some recent results in the literature are generalized and ...We establish the existence of positive solutions for singular boundary value problems of coupled systems? The proof relies on Schauder’s fixed point theorem. Some recent results in the literature are generalized and improved.展开更多
Criminal law interpretation in China faces two primary challenges in terms of value judgments. Normative interpretations often fall into circular and inadequate reasoning, while judges, the key figures in applying int...Criminal law interpretation in China faces two primary challenges in terms of value judgments. Normative interpretations often fall into circular and inadequate reasoning, while judges, the key figures in applying interpretive principles, frequently lack the necessary value judgment engagement and proficiency. Traditional criminal law interpretation is ensnared in a subjective-objective dichotomy, resulting in a misalignment with the aim of "legitimate and rational" interpretation practices in China. To rectify this, a philosophical shift is required to allow intersubjective value judgments while maintaining subjectivityobjectivity as the prerequisite. Criminal law interpretation ensures the completeness of value judgments through a combination of specialized knowledge and public discourse.This involves the creation of systematic criteria for value judgments and adherence to legal principles. The former necessitates defining the internal and external standards of value judgments, formulating rules for the resolution of conflicting standards, and underlining the practical importance of criminalization under law, or "no crime or punishment without law"(the principle that only the law can define a crime and prescribe a penalty) and "Where no law applies, it is permissible to redefine a crime as non-criminal or minor"(decriminalization).The latter involves three perspectives: logical reasoning and theoretical arguments;positive and negative judgments;and formal and substantive rationality. Moreover, it should be approached from four dimensions: normative orientation, individual case promotion, reverse exclusion, and constitutional guidance.展开更多
文摘In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order regular variation condition.
文摘New existence results are presented for the singular second-order nonlinear boundary value problems u ' + g(t)f(u) = 0, 0 < t < 1, au(0) - betau ' (0) = 0, gammau(1) + deltau ' (1) = 0 under the conditions 0 less than or equal to f(0)(+) < M-1, m(1) < f(infinity)(-)less than or equal to infinity or 0 less than or equal to f(infinity)(+)< M-1, m(1) < f (-)(0)less than or equal to infinity where f(0)(+) = lim(u -->0)f(u)/u, f(infinity)(-)= lim(u --> infinity)f(u)/u, f(0)(-)= lim(u -->0)f(u)/u, f(infinity)(+) = lim(u --> infinity)f(u)/u, g may be singular at t = 0 and/or t = 1. The proof uses a fixed point theorem in cone theory.
文摘Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive solutions are obtained. The associated Green function of this problem is also given.
基金supported in part by the National Natural Science Foundation of China(Grant Nos.12171322,11771298 and 11871043)the Natural Science Foundation of Shanghai(Grant Nos.21ZR1447200,20ZR1441200 and 22ZR1445500)the Science and Technology Innovation Plan of Shanghai(Grant No.20JC1414200).
文摘We propose and analyze a single-interval Legendre-Gauss-Radau(LGR)spectral collocation method for nonlinear second-order initial value problems of ordinary differential equations.We design an efficient iterative algorithm and prove spectral convergence for the single-interval LGR collocation method.For more effective implementation,we propose a multi-interval LGR spectral collocation scheme,which provides us great flexibility with respect to the local time steps and local approximation degrees.Moreover,we combine the multi-interval LGR collocation method in time with the Legendre-Gauss-Lobatto collocation method in space to obtain a space-time spectral collocation approximation for nonlinear second-order evolution equations.Numerical results show that the proposed methods have high accuracy and excellent long-time stability.Numerical comparison between our methods and several commonly used methods are also provided.
文摘From the concept of the customer relationship, this article analyzes the current difticulties, and puts forward the value judg- ment and the optimal path of the customer relationship management in the domestic tourism projects. In order to make the discussion more concrete, this paper will take the ＂rural tourism projects in Phoenix City＂ as the object of study. Through the heterogeneity and coordina- tion, establish the value judgment, and the optimization measures under the reflection on the current situation can be constructed from four aspects.
文摘This paper considers eigenstructure assignment in second-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related to a type of so-called second-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effectiveness of the proposed approaches. Keywords Second-order linear systems - Eigenstructure assignment - Proportional plus derivative feedback - Parametric solution - Singular value decompoition - Right factorization This work was supported in part by the Chinese Outstanding Youth Foundation (No.69504002).
文摘A new method in making judgment matrix is proposed based on a basic value of “importance” and a relative measure level of “importance”. Factors affecting petroleum exploration are analyzed and Experts’ judgment matrix on a geologic formation is given. Expected value of each factor is computed and the volume of recoverable oil is estimated.
文摘A second-order dual problem is formulated for a class of continuous programming problem in which both objective and constrained functions contain support functions, hence it is nondifferentiable. Under second-order invexity and second-order pseudoinvexity, weak, strong and converse duality theorems are established for this pair of dual problems. Special cases are deduced and a pair of dual continuous problems with natural boundary values is constructed. A close relationship between duality results of our problems and those of the corresponding (static) nonlinear programming problem with support functions is briefly outlined.
基金This work was supported by the Chinese National Natural Science Foundation ( No. 69925308).
文摘A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general parametric solutions to this type of generalized matrix second-order Sylvester matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the fight factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass-dashpot system is utilized to illustrate the design procedure and show the effect of the proposed approach.
基金Shanghai Style Fashion Design&Value Creation Knowledge Service Center,China(No.ZX201311000031)Shanghai Style Fashion Trend Research Based on Knowledge Management of the Fundamental Research Funds for the Central Universities,China(No.15D110719)Shanghai Style Fashion Trend Research Based on Cloud Computing of the Fundamental Research Funds for the Central Universities,China(No.15D11073)
文摘Among the existing researches on brand value,few of them focused on the demands of the companies in the clothing industry to brand value. There were three innovation points as follows: first of all,two key demands of apparel companies to existing brand value were summarized through investigation; then,the concept of rapid brand value evaluation and multi-dimensional factors( MDFs) was presented; finally,the relationship between apparel corporate brand value and the sales revenue in apparel market with the sales revenue was proven by empirical research.During the process of empirical study,the sales revenue data of 66 apparel enterprises domestic and abroad were collected,and the regression analysis has been done on the relationship between the corporate brand value and the apparel market sales revenue of apparel enterprise. The empirical research showed that they were positively correlated to each other. This conclusion presented a method of judging brand value development trend quickly by single indicator.
文摘We establish the existence of positive solutions for singular boundary value problems of coupled systems? The proof relies on Schauder’s fixed point theorem. Some recent results in the literature are generalized and improved.
文摘Criminal law interpretation in China faces two primary challenges in terms of value judgments. Normative interpretations often fall into circular and inadequate reasoning, while judges, the key figures in applying interpretive principles, frequently lack the necessary value judgment engagement and proficiency. Traditional criminal law interpretation is ensnared in a subjective-objective dichotomy, resulting in a misalignment with the aim of "legitimate and rational" interpretation practices in China. To rectify this, a philosophical shift is required to allow intersubjective value judgments while maintaining subjectivityobjectivity as the prerequisite. Criminal law interpretation ensures the completeness of value judgments through a combination of specialized knowledge and public discourse.This involves the creation of systematic criteria for value judgments and adherence to legal principles. The former necessitates defining the internal and external standards of value judgments, formulating rules for the resolution of conflicting standards, and underlining the practical importance of criminalization under law, or "no crime or punishment without law"(the principle that only the law can define a crime and prescribe a penalty) and "Where no law applies, it is permissible to redefine a crime as non-criminal or minor"(decriminalization).The latter involves three perspectives: logical reasoning and theoretical arguments;positive and negative judgments;and formal and substantive rationality. Moreover, it should be approached from four dimensions: normative orientation, individual case promotion, reverse exclusion, and constitutional guidance.
