一类集合等式成立的充分必要条件

运用凸集的面的结构理论, 给出了优化理论象空间法中的一类集合等式成立的两类充分必要条件.     

T(X)-Subpramart和适应序列的a.s.收敛

引言设(Ω,F,P)即是一概率空间,(F_n)_(n≥1)是F的上升子σ-代数列,T~s和T分别表示(F_n)_(n≥1)的简单停时和有限停时全体。X=(x_n,F_n)_(n≥1)表示适应序列。为叙述简洁常省去“n≥1”记号而把(F_n)_(n≥1),(x_n)_(n≥1),(x_n,F_n)_(n≥1)记成(F_n),(x_n)和(x_n,F_n)。记     

Lebesgue测度与Lebesgue积分的简化定义

给出了Lebesgue测度与积分的简单定义，并通过此定义作出了一系列命题的简单证明，对Lebesgue积分取代Riemann作了初步的探索尝试。     

高校学生业绩评价的多目标最优化数学模型及其多种解法

建立了高校学生业绩评价的数学模型 ,运用多目标最优化方法给出了其多种解法和一个Qbasic源程序。     

lcs空间（X,T）中的几个lcs拓扑

在ｌｃｓ空间（Ｘ，Ｔ）中证明了Ｔａａ（Ｔｋａ）是Ｘ上最大的与Ｔ有相同的绝对凸紧集（紧集）且与Ｔ相容的ｌｃｓ拓扑；（Ｔａ）０（（Ｔｋ）０）是Ｘ上最大的与Ｔ有相同的绝对凸紧集（紧集）且关于偶对（Ｘ，Ｘ′）容许的拓扑（ａｄｍｉｓｓｉｂｌｅｔｏｐｏｌｏｇｙ）．并给出了Ｔａａ（Ｔａ）０的例     

Improved generalized cell mapping for global analysis of dynamical systems

Three main parts of generalized cell mapping are improved for global analysis.A simple method,which is not based on the theory of digraphs,is presented to locate complete self-cycling sets that correspond to attractors and unstable invariant sets involving saddle,unstable periodic orbit and chaotic saddle.Refinement for complete self-cycling sets is developed to locate attractors and unstable invariant sets with high degree of accuracy,which can start with a coarse cell structure.A nonuniformly interior-and...     

The structure and the sufficint and necessary conditions for generalized statistically self-similar sets

We constructed a class of generalized statistically self-similar sets and give the necessary and sufficent conditions to ensure a random recursive set being a generalized statistically self-similar set. The statistically self-similar sets defined by Hutchinson, Falconer, Graf are the special cases of ours. Foundation item: Supported by the National Natural Science Foundation of China Biography: DENG Ai-jiao (1974-), female, Ph.D. candidate, research interes: is in stochastic process and random ractal     

一种新的人才培养模式——“动态能力集”工学结合人才培养模式研究

“动态能力集”工学结合人才培养模式强调能力是动态的、是一种集合。核心思想是依据行业需求，以就业为导向，以能力为中心，将实际工作岗位所需求的各种能力任务化、项目化，构建人才培养动态能力集。根据任务化了的动态能力集再确定相应的课程体系、动态的能力模块、动态的能力点，并采用工学交替、任务驱动的教学模式，做到真正的知行合一。     

华沙圈上连续映射的非游荡集

设f:W→W为华沙圈上连续映射.讨论了f的非游荡集及某些不变集的拓扑结构,证明了:(1)P(f)-P′(f)Ω(f)-Ω′3(f);(2)′3(f)P″(f);(3)Λ3′(f)=P′(f);(4)Ω3″(f)=P″(f).     

Multiple Criteria Decision Making with Respect to Multiple Experts

１ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｅｓｔｕｄｙｏｆｄｅｃｉｓｉｏｎｍａｋｉｎｇｉｎａｃｏｍｐｌｅｘｅｎｖｉｒｏｎｍｅｎｔ，ｔｈｅｔｅｒｍ“ＭｕｌｔｉｐｌｅＯｂｊｅｃｔｉｖｅＤｅｃｉｓｉｏｎＭａｋｉｎｇ（ＭＯＤＭ）”ｉｓａｌｓｏｆｒｅｑｕｅｎｔｌｙｃｉ...