In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison...In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison theorems.展开更多
Let (X 1,X 2,...,X n) and (Y 1,Y 2,...,Y n) be real random vectors with the same marginal distributions,if (X 1,X 2,...,X n)≤ c(Y 1,Y 2,...,Y n), it is showed in this paper that ∑ n i=1 X i≤ c...Let (X 1,X 2,...,X n) and (Y 1,Y 2,...,Y n) be real random vectors with the same marginal distributions,if (X 1,X 2,...,X n)≤ c(Y 1,Y 2,...,Y n), it is showed in this paper that ∑ n i=1 X i≤ cx ∑ n i=1 Y i and max 1≤k≤n ∑ k i=1 X i≤ icx max 1≤k≤n ∑ k i=1 Y i hold.Based on this fact,a more general comparison theorem is obtained.展开更多
This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a c...This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a comparison result and using the monotone iterative technique.展开更多
The paper gives a brief analysis of the color harmony aesthetic measure of Spencer which was emerged in the industry art age, and points out shortcomings of the early studies. It studies order factors which affect the...The paper gives a brief analysis of the color harmony aesthetic measure of Spencer which was emerged in the industry art age, and points out shortcomings of the early studies. It studies order factors which affect the color harmony aesthetic measure based on the psychophysical method, and presents a continuous curve of the order factors. These are necessary for true color CAD, and are an essential research for automatic design leading to economic and social benefits. Key words paired comparison - color harmony - aesthetic measure - order factor展开更多
为解决当前山区高速公路选线过程中存在的影响因素多、参建各方侧重点不同、无法定量描述比选方案等难题,在充分调研中外高速公路及铁路选线影响因素的基础上,系统分析和总结中国山区高速公路选线影响因素,并将其概括为经济、技术、安...为解决当前山区高速公路选线过程中存在的影响因素多、参建各方侧重点不同、无法定量描述比选方案等难题,在充分调研中外高速公路及铁路选线影响因素的基础上,系统分析和总结中国山区高速公路选线影响因素,并将其概括为经济、技术、安全和环境4个方面,共计16个具体影响因子;依托西和—宕昌高速公路工程,组织项目区域所在地方政府、行业主管部门、业主、设计、施工、监理、第三方检测单位及科研院所相关专家共计164人组成专家组,采用层次分析法(analytic hierarchy process,AHP)对16个选线影响因子重要度进行评价。结果表明:环境指标中3个影响因素的综合权重平均分值较高,反映了工程建设领域环保意识的进一步加强。为进一步建立方案比选的优选模型,以依托项目灯塔—蒿林村段路线的方案比选为例,在AHP的基础上运用逼近理想解的排序法(technique for order preference by similarity to idea solution,TOPSIS)对比选方案进行优选,4种比选方案的优越度分别为2.84、0.56、0.72、2.15,即方案1最优。研究成果在全面分析山区高速公路选线影响因素的前提下,采用AHP-TOPSIS综合评判指标体系模型,在充分利用专家经验的同时,又能客观、科学的对比选方案进行最优解排序,较好地解决了山区高速公路选线问题,可为类似线形工程方案的选择提供参考。展开更多
文摘In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison theorems.
基金the National Natural Science Foundation of China( 1 0 371 1 0 9)
文摘Let (X 1,X 2,...,X n) and (Y 1,Y 2,...,Y n) be real random vectors with the same marginal distributions,if (X 1,X 2,...,X n)≤ c(Y 1,Y 2,...,Y n), it is showed in this paper that ∑ n i=1 X i≤ cx ∑ n i=1 Y i and max 1≤k≤n ∑ k i=1 X i≤ icx max 1≤k≤n ∑ k i=1 Y i hold.Based on this fact,a more general comparison theorem is obtained.
文摘This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a comparison result and using the monotone iterative technique.
文摘The paper gives a brief analysis of the color harmony aesthetic measure of Spencer which was emerged in the industry art age, and points out shortcomings of the early studies. It studies order factors which affect the color harmony aesthetic measure based on the psychophysical method, and presents a continuous curve of the order factors. These are necessary for true color CAD, and are an essential research for automatic design leading to economic and social benefits. Key words paired comparison - color harmony - aesthetic measure - order factor
文摘为解决当前山区高速公路选线过程中存在的影响因素多、参建各方侧重点不同、无法定量描述比选方案等难题,在充分调研中外高速公路及铁路选线影响因素的基础上,系统分析和总结中国山区高速公路选线影响因素,并将其概括为经济、技术、安全和环境4个方面,共计16个具体影响因子;依托西和—宕昌高速公路工程,组织项目区域所在地方政府、行业主管部门、业主、设计、施工、监理、第三方检测单位及科研院所相关专家共计164人组成专家组,采用层次分析法(analytic hierarchy process,AHP)对16个选线影响因子重要度进行评价。结果表明:环境指标中3个影响因素的综合权重平均分值较高,反映了工程建设领域环保意识的进一步加强。为进一步建立方案比选的优选模型,以依托项目灯塔—蒿林村段路线的方案比选为例,在AHP的基础上运用逼近理想解的排序法(technique for order preference by similarity to idea solution,TOPSIS)对比选方案进行优选,4种比选方案的优越度分别为2.84、0.56、0.72、2.15,即方案1最优。研究成果在全面分析山区高速公路选线影响因素的前提下,采用AHP-TOPSIS综合评判指标体系模型,在充分利用专家经验的同时,又能客观、科学的对比选方案进行最优解排序,较好地解决了山区高速公路选线问题,可为类似线形工程方案的选择提供参考。
