可及过程的某些性质

可料过程和循序过程是两种重要的随机过程,也是实际应用中十分常见的两种过程类型.可及过程是介于循序过程和可料过程之间的一种过程,相对研究较少.本文对可及过程进行了比较深入的讨论,揭示了可及过程与可料过程及循序过程之间的联系.此外还讨论了与过程有关的一个一致可积性问题.

停止邻域的一些性质

本文主要研究论证了[1]中停止邻域与[2]中的停线问题的等价性,并进一步给出了判别停止邻域的充分必要条件及停止邻域一些性质.文章指出零点的有界停止邻域与一致有界的停线是等价的;零点的停止邻城序列{D_n}的交及并的闭包仍为零点的停止邻域.

分层教学在小学数学教学中的妙用

"人们对客观事物的认识,是一个由简到繁,由低级到高级,由直观到抽象的循序过程,人们对任何事物都不可能一步就达到对其本质的认识。"学习便是这样一个循序渐进的过程。一步难以登天,揠苗难以助长,唯有循序方可渐进。任何知识点的习得都是一个不断发展的过程,而老师就要将这个发展过程分解开来,利用合理的教学方式,将教学内容进行有序分层教学,一步一步引导,使学生在老师的引导下不知不觉建构新知识,提高课堂学习效率。

Synthesis and Scheduling of Optimal Batch Water-recycle Networks

This work develops an optimization-based methodology for the design and scheduling of batch water recycle networks. This task requires the identification of network configuration, fresh-water usage, recycle assignments from sources to sinks, wastewater discharge, and a scheduling scheme. A new source-tank-sink representation is developed to allow for storage and dispatch tanks. The problem is solved in stages by first eliminating scheduling constraints and determining minimum usage of fresh water and wastewater discharge. An iterative procedure is formulated to minimize the total annual cost of the system by trading off capital versus operating costs. The work overcomes limitations in previous literature work including restricted recycle within the same cycle, lumped balances that may not lead to feasible solutions, and unrealistic objective functions. A case study is solved to illustrate the usefulness of the devised procedure.