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Study on the Relation of Definite Integral and Indefinite Integral
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作者 SUN Bao-fa 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第4期523-528,共6页
Relation of definite integral and indefinite integral was discussed and an important result was gotten. If f(x) is bounded and has primary function, the formal definite integral x s f(t)dt is the indefinite integral o... Relation of definite integral and indefinite integral was discussed and an important result was gotten. If f(x) is bounded and has primary function, the formal definite integral x s f(t)dt is the indefinite integral of f(x), where x is a self-variable, s is a parameter,~f(x) is a function defined in(-∞, +∞), which comes from f(x) by restriction and extension. In other words, the indefinite integral is a special form of definite integral, its lower integral limit and upper integral limit are all indefinite. 展开更多
关键词 definite integral indefinite integral primary function
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Stabilization strategy of a car-following model with multiple time delays of the drivers
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作者 任卫林 程荣军 葛红霞 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第12期271-282,共12页
An extended car-following model with multiple delays is constructed to describe driver's driving behavior.Through stability analysis,the stability condition of this uncontrolled model is given.To dampen the negati... An extended car-following model with multiple delays is constructed to describe driver's driving behavior.Through stability analysis,the stability condition of this uncontrolled model is given.To dampen the negative impact of the driver's multiple delays(i.e.,stability condition is not satisfied),a novel control strategy is proposed to assist the driver in adjusting vehicle operation.The control strategy consists of two parts:the design of control term as well as the design of the parameters in the term.Bifurcation analysis is performed to illustrate the necessity of the design of parameters in control terms.In the course of the design of parameters in the control term,we improve the definite integral stability method to reduce the iterations by incorporating the characteristics of bifurcation,which can determine the appropriate parameters in the control terms more quickly.Finally,in the case study,we validate the control strategy by utilizing measured data and configuring scenario,which is closer to the actual traffic.The results of validation show that the control strategy can effectively stabilize the unstable traffic flow caused by driver's delays. 展开更多
关键词 car-following model driver's reaction time delays improved definite integral method bifurcation analysis stabilization strategy
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Research and Development of the Object-oriented Design Method: IDEF4
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作者 周之英 王萍 《Tsinghua Science and Technology》 SCIE EI CAS 1996年第2期139-145,共7页
Object-oriented technology has been widely accepted over recent years and proper use of this technology helps facilitate large system development. Concurrent engineering is one of the large, complex programs thatbenef... Object-oriented technology has been widely accepted over recent years and proper use of this technology helps facilitate large system development. Concurrent engineering is one of the large, complex programs thatbenefits from using the objectuoriented method. This paper first introduces some popular object-oriented designmethods and then focuses on the IDEF4 method. The IDEF4 method is one member of IDEF, which is an integratedfamily of integration definition methods. The IDEF4 method was applied to the development of a specific system. Application of the method exposes the advantages and disadvantages of IDEF4. An enhancement method, IDEF4X, isproposed to provide a more powerful object-oriented method. 展开更多
关键词 object-oriented design CLASS METHOD IDEF (integration definition)
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