格的弱半同态基本定理

推广了格的同态和半同态理论的主要结论,得到格的弱半同态理论的主要结果,建立了格的弱半同态基本定理。     

关于格拟环的凸子格拟环格

主要讨论了格拟环的基本性质与凸子格拟环格 ,给出并证明了 :A)若L是一个格拟环 ,M是L的一个子拟环 ,则以下条件等价 :1)M是凸子格拟环 ;2 )M是凸的与定向的 ;3)M的右陪集R(M)是一个分配格 ,且 m1,m2 ∈L ,(M +m1) ∨ (M +m2 ) =M +m1∨m2 ,(M+m1) ∧(M+m2 ) =M+m1∧m2 .B)若L是一个格拟环 ,则C(L) ={M｜M是L的一个凸子格拟环 }是一个Brouwerian格 ,并且它是L的子拟环格的子格     

离子化合物点阵能公式的改进

在前人经验的基础上 ,通过分析晶体内部点阵点的电位与马德隆常数和阳离子有效核电荷数Z + ,以及阴离子所带形式电荷Z-的关系 ,改进了点阵能的计算公式为 :V0 =1389.75∑Z0 .80 61Z + · n Z-r0( 1- 0 .34 2r0)。{n =0 .2 5(Z+ - 1) 2 +2 }该公式具有参数易得 ,适用性广 ,计算误差小等优点。     

有关量子逻辑的一个命题

我们给出了量子逻辑中的一个命题的两种证明.     

简单格子设计试验的SAS分析方法

大批量处理的精确田间试验，可以采用简单格子设计。本文简要介绍简单格子设计的方法和分析原理，以2重复和4重复简单格子设计的例题，介绍了相应的SAS的分析程序和ODS系统，为格子设计数据的分析提供一套完整的解决方案。     

拓扑指数mG与卤化物的晶格能和标准生成焓的关系

在Randic分子价连接性拓扑指数的基础上,将Randic的δi修改为原子结构特征参数δi'(δi'=Zi2×(Xpi)0.5/ni其中Zi,Xpi,ni分别为原子i的氧化数,Pauling电负性和所处的周期数),构建了无机分子的连接性指数mG(mG=∑(δi'×δj'×δk'×…)0.5),其具有优异的结构选择性,用其0,1阶指数0G、1G及(0G)2与碱金属卤化物的晶格能、过渡元素卤化物的标准生成焓相关联,拟合得到两个回归方程(U=403.86+899.5081G,△fHm⊙=33.571+139.644(0G)2-400.7351G),相关系数分别为0.9954、0.9680,预测取得了较好的结果.     

双曲复平面的格序半群

应用双曲复平面（H平面）上点圃的特殊性质,讨论H平面的结构．得到了求H平面上已知两点上、下确界的方法,证明了H平面上由零因子直线划分的四个区域均具有格序半群结构．     

Girard Quantale中的算子

讨论了Girard Quantale的内部结构,研究了Girard Quantale中各种运算的若干性质和它们之间的相互关系,证明了Girard Quantale中六个二元运算中的任何一个结合一元算子⊥均可以完全刻画剩余的五个二元运算.     

Modified surface tension model for free surface flow with single-phase lattice Boltzmann method

A single-phase lattice Boltzmann model with modified surface tension is developed in this paper to solve the problem of high-density-ratio free surface flow.The computational efficiency and accuracy are both enhanced.The restriction to the relaxation factor （which needs to be smaller than 1） is circumvented by the new surface tension algebra,due to its rational physical nature compared with the treatment of Xing,Buther and Yang in their paper （Comp.Mater.Sci.,2007,39（2）：282-290）.The proposed stable surface tension scheme is applied to simulate the free deformation of a square droplet with surface tension effect and the process of a droplet impinging on a liquid film.The numerical solution for free deformation of a droplet agrees well with thermodynamic principles,and also achieves high accuracy in comparison with Xing,et al.＇s model.Three typical impinging modes are successfully obtained with the new scheme,and another particular mode found by Wang and Chen is also successfully simulated.The evolutions of liquid crown agree well with the power law related to time.     

Performance investigation of 2D lattice Boltzmann simulation of forces on a circular cylinder

The lattice Boltzmann method (LBM) is employed to simulate the uniform flow past a circular cylinder. The performance of the two-dimensional LBM model on the prediction of force coefficients and vortex shedding frequency is investigated. The local grid refinement technique and second-order boundary condition for curved walls are applied in the calculations. It is found that the calculated vortex shedding frequency, drag coefficient and lift coefficient are consistent with experimental results at Reynolds nu...