On the basis of new characteristics and trend of China's agricultural development in the post-WTO period,combining analysis of factors influencing agricultural industrial safety,this paper builds an evaluation ind...On the basis of new characteristics and trend of China's agricultural development in the post-WTO period,combining analysis of factors influencing agricultural industrial safety,this paper builds an evaluation indicator system for China's agricultural industrial safety by scientific indicator system design method.This indicator system includes risk factor indicators(showing risk degree)and capacity factor indicators(showing guaranteeing ability),and consists of 7 subsystems:consumption safety,production safety,industrial controlling capacity,industrial development capacity,industrial development environment,government functions and industrial foundation condition.Risk factor is divided into 5 levels:higher risk,high risk,medium risk,low risk and lower risk;guarantee risk is also divided into five levels:strong,healthy,normal,weak and disabled.According to the overall evaluation score obtained from weighting sum,the agricultural industrial safety includes 5 types:very safe,safe,basically safe,not safe and hazardous.This evaluation indicator system is expected to providing theoretical reference for evaluating China's agricultural industrial safety.展开更多
In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn （f, qn ;x） approximating to f＇ （x） as n →∞, which is a general- ization of that relating the classic...In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn （f, qn ;x） approximating to f＇ （x） as n →∞, which is a general- ization of that relating the classical case qn = 1. On the other hand, we study the conver- gence properties of derivatives of the limit q-Bernstein operators B∞（f, q;x） as q→1-.展开更多
“The Silk Road”is not a new term.Since the Chinese government launched the Belt and Road Initiative and vision in 2013,the connotations and extensions of the Silk Road have been completely redefined,becoming an inte...“The Silk Road”is not a new term.Since the Chinese government launched the Belt and Road Initiative and vision in 2013,the connotations and extensions of the Silk Road have been completely redefined,becoming an integral part of the grand rejuvenation of the Chinese nation and a conduit for China and the world to co-build a“community with a shared future for humanity.”The proposal of the“Belt and Road”concept is based on ample current and historical evidence.展开更多
Since the first reported AIDS case in 1985, the development of the epidemic in China may be broadly divided into three stages： the stage of infection via foreigners （1985-1988）, that of low prevalence （1989- 1993...Since the first reported AIDS case in 1985, the development of the epidemic in China may be broadly divided into three stages： the stage of infection via foreigners （1985-1988）, that of low prevalence （1989- 1993） and that of high prevalence （1994- now）. By December 2004 the population infected by HIV had reached 840,000, while ＂HIV / AIDS is spreading from high-risk groups to the general population.＂ In the same year, the prevention and control of AIDS was treated as a matter of high importance in a State Council document that related it to ＂economic growth, social stability, state security and national prosperity.＂2 This statement was interpreted by the Ministry of Health as meaning that the prevention and control of AIDS was ＂a critical task for the quality of the people and the rise of the nation,＂ and should be treated as ＂concrete embodiment of China＇s responsibilities to international society and to the survival and devel-opment of humanity.＂展开更多
In this paper a binomial sequence is defined as a special sequence whose renewal lifes are identically distributed with a common geometric distribution. Therefore, it can be regarded as the discrete version of a Poiss...In this paper a binomial sequence is defined as a special sequence whose renewal lifes are identically distributed with a common geometric distribution. Therefore, it can be regarded as the discrete version of a Poisson process. Mainly, we discuss the characterization problem associated with binomial sequences. First, we sketch the properties of some important quantities of a renewal sequence. The emphasis of discussion is laid on the current life, the residual life and the total life. Then, we describe three main approaches to identify a geometric distribution. Finally, based on these concepts and techniques, we give a series of characterization theorems for a binomial sequence. These results are quite similar to those obtained for a Poisson process.展开更多
Recently Brutman and Passow considered Newman-type rational interpolation to ｜x｜ induced by arbitrary sets of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods,one...Recently Brutman and Passow considered Newman-type rational interpolation to ｜x｜ induced by arbitrary sets of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods,one could establish the exact order of approximation for some special nodes.In the present note we consider the sets of interpolation nodes obtained by adjusting the Chebyshev roots of the second kind on the interval [0,1] and then extending this set to [-1,1] in a symmetric way.We show that in this case the exact order of approximation is O（ 1 n 2 ）.展开更多
We give definitions on increasing, constant and decreasing returns to scale under the generalized data envelopment analysis (GDEA) model. The GDEA model prossesses cone structures for describing evaluators’ preferenc...We give definitions on increasing, constant and decreasing returns to scale under the generalized data envelopment analysis (GDEA) model. The GDEA model prossesses cone structures for describing evaluators’ preferences toward different decision making units (DMU) and toward different input / output categories. The GDEA model contains many important DEA models as its subclasses. Based upon the definition, we discuss and rigorously prove the necessary and sufficient conditions for a DMU to have increasing, constant and decreasing returns to scale under a GDEA model, and discuss and clarify the differences and relationships of these conditions under different subclasses of the GDEA model. Furthermore, we describe a method based on a two-stage linear program to test returns to scale properties.展开更多
A device is subject to damage caused by environmental shocks.Shocks occur randomly indiscrete time according to a properly defined family of independent random variables.Theincremental damage caused by a shock depends...A device is subject to damage caused by environmental shocks.Shocks occur randomly indiscrete time according to a properly defined family of independent random variables.Theincremental damage caused by a shock depends on the magnitude of the shock.The device has athreshold τ and it fails once the damage exceeds the threshold.The first failure time T of the deviceand its failure rate are examined.If τ is random,under mild conditions we show that the lifedistribution properties of the random threshold are inherited by the first failure time T.For fixed τ,the conditions for the failure rate to increase or to have an increasing average are also found.Finally,as an application of the main results,the additive deterioration models are briefly discussed.展开更多
Fuzzy set systems can be used to solve the problem with uncertain knowledge, and default logic can be used to solve the problem with incomplete knowledge, in some sense. In this paper,based on interval-valued fuzzy se...Fuzzy set systems can be used to solve the problem with uncertain knowledge, and default logic can be used to solve the problem with incomplete knowledge, in some sense. In this paper,based on interval-valued fuzzy sets we introduce a method of inference which combines approximate reasoning and default logic,and give the procedure of transforming monotonic reasoning into default reasoning.展开更多
文摘On the basis of new characteristics and trend of China's agricultural development in the post-WTO period,combining analysis of factors influencing agricultural industrial safety,this paper builds an evaluation indicator system for China's agricultural industrial safety by scientific indicator system design method.This indicator system includes risk factor indicators(showing risk degree)and capacity factor indicators(showing guaranteeing ability),and consists of 7 subsystems:consumption safety,production safety,industrial controlling capacity,industrial development capacity,industrial development environment,government functions and industrial foundation condition.Risk factor is divided into 5 levels:higher risk,high risk,medium risk,low risk and lower risk;guarantee risk is also divided into five levels:strong,healthy,normal,weak and disabled.According to the overall evaluation score obtained from weighting sum,the agricultural industrial safety includes 5 types:very safe,safe,basically safe,not safe and hazardous.This evaluation indicator system is expected to providing theoretical reference for evaluating China's agricultural industrial safety.
文摘In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn （f, qn ;x） approximating to f＇ （x） as n →∞, which is a general- ization of that relating the classical case qn = 1. On the other hand, we study the conver- gence properties of derivatives of the limit q-Bernstein operators B∞（f, q;x） as q→1-.
文摘“The Silk Road”is not a new term.Since the Chinese government launched the Belt and Road Initiative and vision in 2013,the connotations and extensions of the Silk Road have been completely redefined,becoming an integral part of the grand rejuvenation of the Chinese nation and a conduit for China and the world to co-build a“community with a shared future for humanity.”The proposal of the“Belt and Road”concept is based on ample current and historical evidence.
文摘Since the first reported AIDS case in 1985, the development of the epidemic in China may be broadly divided into three stages： the stage of infection via foreigners （1985-1988）, that of low prevalence （1989- 1993） and that of high prevalence （1994- now）. By December 2004 the population infected by HIV had reached 840,000, while ＂HIV / AIDS is spreading from high-risk groups to the general population.＂ In the same year, the prevention and control of AIDS was treated as a matter of high importance in a State Council document that related it to ＂economic growth, social stability, state security and national prosperity.＂2 This statement was interpreted by the Ministry of Health as meaning that the prevention and control of AIDS was ＂a critical task for the quality of the people and the rise of the nation,＂ and should be treated as ＂concrete embodiment of China＇s responsibilities to international society and to the survival and devel-opment of humanity.＂
基金This work was supported by grant No.1880492 from the National Natural Science Foundation of China
文摘In this paper a binomial sequence is defined as a special sequence whose renewal lifes are identically distributed with a common geometric distribution. Therefore, it can be regarded as the discrete version of a Poisson process. Mainly, we discuss the characterization problem associated with binomial sequences. First, we sketch the properties of some important quantities of a renewal sequence. The emphasis of discussion is laid on the current life, the residual life and the total life. Then, we describe three main approaches to identify a geometric distribution. Finally, based on these concepts and techniques, we give a series of characterization theorems for a binomial sequence. These results are quite similar to those obtained for a Poisson process.
基金Supported by the National Natural Science Foundation of China (Grant No. 10601065)
文摘Recently Brutman and Passow considered Newman-type rational interpolation to ｜x｜ induced by arbitrary sets of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods,one could establish the exact order of approximation for some special nodes.In the present note we consider the sets of interpolation nodes obtained by adjusting the Chebyshev roots of the second kind on the interval [0,1] and then extending this set to [-1,1] in a symmetric way.We show that in this case the exact order of approximation is O（ 1 n 2 ）.
基金This work was supported by the National Natural Science Foundation of China.
文摘We give definitions on increasing, constant and decreasing returns to scale under the generalized data envelopment analysis (GDEA) model. The GDEA model prossesses cone structures for describing evaluators’ preferences toward different decision making units (DMU) and toward different input / output categories. The GDEA model contains many important DEA models as its subclasses. Based upon the definition, we discuss and rigorously prove the necessary and sufficient conditions for a DMU to have increasing, constant and decreasing returns to scale under a GDEA model, and discuss and clarify the differences and relationships of these conditions under different subclasses of the GDEA model. Furthermore, we describe a method based on a two-stage linear program to test returns to scale properties.
基金This work was supported by grant No.1880492 from the National Natural Science Foundation of China
文摘A device is subject to damage caused by environmental shocks.Shocks occur randomly indiscrete time according to a properly defined family of independent random variables.Theincremental damage caused by a shock depends on the magnitude of the shock.The device has athreshold τ and it fails once the damage exceeds the threshold.The first failure time T of the deviceand its failure rate are examined.If τ is random,under mild conditions we show that the lifedistribution properties of the random threshold are inherited by the first failure time T.For fixed τ,the conditions for the failure rate to increase or to have an increasing average are also found.Finally,as an application of the main results,the additive deterioration models are briefly discussed.
文摘Fuzzy set systems can be used to solve the problem with uncertain knowledge, and default logic can be used to solve the problem with incomplete knowledge, in some sense. In this paper,based on interval-valued fuzzy sets we introduce a method of inference which combines approximate reasoning and default logic,and give the procedure of transforming monotonic reasoning into default reasoning.
