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在 k 值逻辑理论中,定出 P_k 中的所有极大封闭集问题是一个基本而重要的问题。王湘浩教授改进了定理证明了 P_k 中任意极大封闭集必是一个保 m 项关系的函数集,其中2≤m≤k。因此,只要求出2项关系以及正规的3,4,…,k 项关系所确定的极大封闭集便得到 P_k 中的全部极大封闭集。在本文中,我们定出了正规 k 项关系所确定的全部极大封闭集。同时,很简单地证明了 P_3中只有的18个极大封闭集。

A new generalized equation of state for real gases is given in a reduced form.It is based on van der Waals′equation and takes account of the association of molecules as well as the influence of temperature on the force between mole-cules and on the molecular volume.A large number of calculations made with the new equation for various gasesare in substantial agreement with experimental data.Thus,the generality of thenew equation is proved.When the new equation is used to calculate the relations between temperature,pressure,and...

A new generalized equation of state for real gases is given in a reduced form.It is based on van der Waals′equation and takes account of the association of molecules as well as the influence of temperature on the force between mole-cules and on the molecular volume.A large number of calculations made with the new equation for various gasesare in substantial agreement with experimental data.Thus,the generality of thenew equation is proved.When the new equation is used to calculate the relations between temperature,pressure,and specific volume for a given gas,only the critical parameters of thegas are needed.Furthermore,the new equation is universal,simple,and accurate.It is applicable to a broad range of parameters and is clear in physical concepts.The new equation serves as a powerful tool for studying the properties ofworking media in power engineering,chemical engineering,refrigerating engi-neering,research work on new energy sources,and other related areas.It may beused for the interpolation and the extrapolation of experimental data.It also provides a good formula for computer use.The new equation is especially helpful to the study of the properties ofgases,for which sufficient experimental data are not available.In these casesmuch time and money for the experiments may be saved.

本文从凡德瓦尔方程出发,着重考虑了实际气体中分子结合的规律性,并考虑到温度对分子力和分子体积的影响,提出了一个新的对比状态方程。对多种气体进行计算的结果,证实了新方程对各类气体均适用,从而肯定了它的通用性。新方程只要求给出临界参数即可进行温度、压力、比容之间的关系的计算,它具有通用、简单、精确、适用参数范围宽广、物理概念清楚等特点。新方程为化工、制冷、动力、新能源利用及其它有关部门提供了掌握工质性质的有力工具;为实验数据的内插、外延提供了依据;数据公式化的结果,也为利用电子计算机提供了方便条件。新方程对掌握那些没有充分实验数据的气体的性质有特别重要的意义,可大量节省投入实验的时间、人力和物力。

In this paper, the Wave Front Method is described. This method has many advantages in solving hydroelectric structures and rock mechanics problems by means of F. E. M. It is well known that these kinds of problems require large amounts of stiffness coefficients, so that the correctness is always limited by the capacity of computers. This method provides a favorable approach in solving these problems. This paper has been written in detail for the sake of easy comprehension.

本文叙述了波阵法的理论分析及使用方法。波阵法对解大型线性方程组有其特殊的优越性,水工结构及岩体力学问题常常存在很大的刚度矩阵,以致于此类问题的正确解答及精度受计算机容量的限制。波阵法在合理使用机器内存,并与外存交换方面提供了一个方便的方法。此法主要点是在计算机内只要求存储与消去“现役行”有关的元素,机器一边消元,一边形成刚度系数,因而内存要求不多,一般中小机器都可使用。

 
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