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economics
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  经济学
    THE APPLICATION OF NONLINEAR DIFFERENTIAL EQUATIONS IN THE ECONOMICS
    非线性微分方程组在经济学中的应用
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    Global Analysis and Economics
    整体分析与经济学
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    Strengthen Quantitative Analysis of economics
    加强经济学的数量分析
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    Chaos and Nonlinear Economics
    略论浑沌理论与非线性经济学
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    Some Issues about the Merging of Traditional Economics and Quantitative Economics
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  经济
    Bayesian Linear Inference Theory and Classification Identification Method for Multiple Populations in the Modern Economics and Management
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    动态经济、人口迁移模型
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  economics
The supercritical water-cooled reactor has favorable features in economics, sustainability and technology availability.
      
The Krasovskii self-organizing regulators for optimal control of dynamic processes is shown to be applicable in economics.
      
Numerous applications of the continuous logic to mathematics, engineering, economics, social sciences, and so on were described, and its perspectives were estimated.
      
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Nonnegative large-scale linear programming problems with group constraints are extremely important for different applications in economics, technology, and other spheres.
      
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In our previous paper,general situations of the economic systems' modelling have been thoroughly expounded,and several interesting aspects about the mathem- atical models of different socio-economic systems have also been discussed.In the present paper,a comparative study for the state-space realization of various exi- sting models of linear multivariable econometrics had been made with respect to their merits and dismerits.The paper also gives the dual relationship between te- chnical terms in the area of control...

In our previous paper,general situations of the economic systems' modelling have been thoroughly expounded,and several interesting aspects about the mathem- atical models of different socio-economic systems have also been discussed.In the present paper,a comparative study for the state-space realization of various exi- sting models of linear multivariable econometrics had been made with respect to their merits and dismerits.The paper also gives the dual relationship between te- chnical terms in the area of control and economics.The author finally recommend ε-minimal dimensional realization and its algorithm as the proper method io be used for investigating our national econometric models.

作者们前文颇为详尽地阐述了经济系统建模的概貌,还较全面地讨论了不同社会经济系统数学模型的若干重要论题。本文进一步作出各种现有线性多变量计量经济模型的状态空间实现的比较性研究,特别是指明其优缺点。为了赋予实现过程和有关概念以明确的经济意义,文中详细列举了控制和经济两大领域内不同概念之间的对应关系。除引进ε—最小维实现的新概念之外,最后还结合我国具体条件和实现算法提出有关我国经济建模研究的意见。

This paper presents a new method for solving nonlinear stochastic differential equiqtions. Through the examination of 5 cases, it is proved that the relative error is≤10%, thus greatly improving the four linearization methods [1,3,4,5] and one approximate method [6] of today by raising the accuracy of these methods twofold or more. The new method and covariance analysis method make up linearization covariance analysis method which can be utilized in time-vary system with multiple random inputs (interference)...

This paper presents a new method for solving nonlinear stochastic differential equiqtions. Through the examination of 5 cases, it is proved that the relative error is≤10%, thus greatly improving the four linearization methods [1,3,4,5] and one approximate method [6] of today by raising the accuracy of these methods twofold or more. The new method and covariance analysis method make up linearization covariance analysis method which can be utilized in time-vary system with multiple random inputs (interference) and multiple nonlinearizatios. By this analysis method the CADET'S (Covariance Analysis DEscribing function Technique) accuracy can be raised twofold or more, and maximal errors that possibly occured could be extirpated.On analizing the two accurate solutions from Markoff's process theory and High Order Moment Propagation (HMP) method and two experimental values from analogue method and Monto Carlo method [6,10], the results obtained here (Formula 40) are distinct from the traditional view (Formula 39). Therefore, we advance the idea of converting accurate theoretical solution and actual data into linearized solution, and get the conversion factors of the 5 cases (Table 3). The result shows better application effect (Table 4).With an accuracy over that of original method, the facility application and simplified calculation, this method may be introduced into systems analysis of physics, engineering and economics etc.

本文给求解非线性随机微分方程组提出一种新方法,对五例所作的验证表明,其相对误差≤10%,比现有的四种线性化法与一种近似法的精度提高一倍以上。该法同协方差分析法组成新的线性化协方差分析法,能用于有多维随机输入与多种非线性的时变系统;并使协方差分析描述函数法-CADET的精度在所述情况下提高一倍以上,且能消除其可能的极大误差。 分析了用马氏过程论与高阶矩传播-HMP法所得的两种精确解,以及用模拟法与蒙特卡罗法所得的两种试验值,从五例所得结论(40)式与传统见解(39)式不同。依此提出将精确解与试验值折算为线性解,并得五例折合系数(表3),结果表明新法效果更好(表4)。 新法精度已由五例表明比五种老法高,可用于物理、工程与经济等的系统分析。

A new concept of the population density field of China is proposed.The quan-tum of the population field which is a unit area of one minute longitude by oneminute latitude square is defined as a unit data bank of computer.This approach ofquantizing the population field with the triad of population,economics and territoryis significant in dealing with the complex macroeconmic system in a more quantitativeand realistic way.The population field is divided into three scale subsystems and four models ofmedium-economic...

A new concept of the population density field of China is proposed.The quan-tum of the population field which is a unit area of one minute longitude by oneminute latitude square is defined as a unit data bank of computer.This approach ofquantizing the population field with the triad of population,economics and territoryis significant in dealing with the complex macroeconmic system in a more quantitativeand realistic way.The population field is divided into three scale subsystems and four models ofmedium-economic level according to pansystem theorems.The deviation of the popu-lation field centre from the economic distribution centre has been calculated accurately.The decomposition of the vector of the deviation between the two centres leads to anew optimization approach to the calculation of the moderate amount of a region'spopulation.A suggestion is made of applying the following approaches to the research ofthe macroeconomic meaning of a population field.They are:1)vector analysis of the deviation between the population field centre andthe economic distribution centre;2)double sieve multiple regression analysis;3)comparison of correlation coefficient;4)Fuzzy sub-optimization model;5)analysis of the spectrum of ρ-n;6)Fuzzy BR analysis of the densities in the checks of the multiple fields;7)analysis of population saturation degree.A diagram of China's population density field with checks of different sizes forcounties has been drawn for the first time according to the principles of the quantumof the population field mentioned above.

本文建立了中国人口密度场的概念。提出将人口场微元(经度一分乘纬度一分的格块)定义为元数据库。集人口、经济、国土三者于一体的人口场的微元化方法导致能够更现实更定量地处理复杂的宏观经济系统。根据泛系定理将中国人口场划分为一、二、三级子系统及四种中观经济模式。计算了人口场重心和经济分布重心的偏离,偏离矢量的分解导致可计算区域适度人口指标的新的优化方法。一、二、三级子系统提供了建立经济区的理论依据。本文建议用人口场重心与经济重心偏离矢量分解、双重筛选多元逐步回归、相关系数比较、次优化模型、频谱分析、人口饱和度分析、复合场格点密度的 BR(灰度和隶属度)分析七种算法研究人口场的宏观经济意义。编制了计算机程序,算出了若干方程和定量结果。根据人口场元原理首次作出中国人口密度场图(分县格点式)。

 
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