固体力学有限元体系的结构拓扑变化理论

本文是文[1]的继续.文[1]提出了杆件系统的结构拓扑变化理论和拓扑变化法本文将这一理论和方法推进到连续体有限元体系;且在此基础上揭示出有限元体系的一个新性质,称为基本位移之梯度的正交性定理,从而给出一套设计敏度的显式表达式,可直接用于计算.     

不等式|a|-|b|≤|a±b|≤|a|+|b|的补注

“|ａ| -|ｂ|≤ |ａ±ｂ|≤ |ａ| + |ｂ|”是高中数学中的一个重要不等式定理 ,它是处理含有绝对值问题的一个重要工具 .课本主要介绍它在证明不等式中的应用 ,而其它方面很少涉及 ,且何时取等号也未指明 ,但在高考中却多次考查到 .为此本文加以补充并例谈其应用 .一、定理的补注1.等号成立的条件|ａ +ｂ| =|ａ| + |ｂ| ａｂ≥ 0 ;|ａ -ｂ| =|ａ| + |ｂ| ａｂ≤ 0 ;|ａ| -|ｂ| =|ａ +ｂ| (ａ +ｂ)ｂ≤ 0 ;|ａ| -|ｂ| =|ａ -ｂ| (ａ -ｂ)ｂ≥ 0 .2 .字母ａ ,ｂ的范围其实ａ ,ｂ不仅在实数中成立 ,且在复数集中也成立 .同时右边不等式…     

玻色─爱因斯坦关联半径和源半径对实验窗口的依赖及它们的差异

研究了１６０ＡＧｅＶＰｂ＋Ｐｂ反应中π源的玻色─爱因斯坦关联半径和源半径（均方根半径）的关系，以及它们对实验窗口的依赖。模型冗源由ＵＲＡＳｉＭＡ生成器产生。研究表明关联半径和源半径不仅数值不等，而且变化行为也不同。     

升巨散对实验性血小板减少症的治疗作用研究

采用水提醇沉法将升巨散制成冲剂,对实验性血小板减少症的治疗,表明升巨散具有升高外周血小板数量之功效,差异显著(P<0.15).相继在出血时问、凝血时间和24h 血块收缩实验中,也间接证实本品有升高外周血小板数量之作用。又在骨髓象检查中,发现升巨散能提高骨髓之巨核细胞及血小板数量,差异显著。本品 LD_(50)及95%可信限为70.88±2.62g/kg。     

ON THE STRUCTURE OF CONTINUA AND THE MATHEMATICAL PROPERTIES OF ALGEBRAIC ELASTODYNAMIC OF A TRICLINIC STRUCTURAL SYSTEM

This paper is neither laudatory nor derogatory but it simply contrasts with what mightbe called elastostatic(or static topology),a proposition of the famous six equations.Theextension strains and the shearing strainsfor all i,j,k=1,2,3.which were derived by A.L.Cauchy,are linearly expressed in terms of nine partialderivatives of the displacement function(u_i,u_j,u_k)(?)u(x~i,x~j,x~k)and it is impossiblefor the inverse proposition to sep up a system of the above six equations in expressing thenine components of matrix((?)(u_i,u_j,u_k)/(?)(x~i,x~j,x~k)).This is due to the fact that ourgeometrical representations of deformation at a given point are as yet incomplete .On theother hand,in more geometrical language this theorem is not true to any triangle,exceptorthogonal,for“squared length”in space.The purpose of this paper is to describe some mathematic laws of algebraicelastodynamics and the relationships between the above-mentioned important questions.     

一维链状锰配位聚合物[Mn(4-CPOA)(2,2-bipy)(H_2O)]_n的合成与晶体结构(英文)

0IntroductionThe solid-state chemistry of manganese!car-boxylate coordination polymers has received growingattention over the past few years,owing to their fasci-nating network topologies and potential application inthe field of molecular magnetism and bi…     

三维网状的4-羧基苯氧乙酸锶(Ⅱ)配位聚合物[Sr2(4-CPOA)2(H2O)5]n的合成、结构与热稳定性研究

A novel coordination polymer of [Sr₂(4-CPOA)₂(H₂O)₅]_n (where 4-CPOA^2- is 4-carboxylphenoxyacetate) has been synthesized and characterized by elemental analysis, IR, TG and single crystal X-ray diffraction. The title complex belongs to monoclinic system with space group C2/c, a=2.563 9(5) nm, b=1.162 7(2) nm, c=0.742 96(15) nm, β=99.64(3)°. V=2.183 5(7) nm³, Z=4, M_r=653.60, D_c=1.988 g·cm^-3, R=0.027 8, wR=0.058 1. The strontium atom has a bicapped triangular prismatic coordination geometry, involving four oxoacetate oxygen atoms, one ether oxygen atom from different 4-CPOA^2- ligands and three water molecules. The strontium(Ⅱ) ions are linked by 4-CPOA^2- ligands and water molecules to form a 3D network structure. CCDC: 223313.     

循环群上模糊子群的结构

对循环群上模糊子群进行了分类,给出了ｉ＝２时有限阶循环群上模糊子群数量的公式;证明了无限阶循环群上的模糊子群Ａ,如果Ｉｍ（Ａ）无限则不具有上确界性质。     

TH型空间值模糊正规子群的乘积与同态象定理

在群上的区间值模糊集空间上,引入幂等区间范数ＴＨ,定义了ＴＨ型区间值模糊集的乘积,在此基础上,研究了这种乘积在其模糊正规子群空间上的推广性质,给出了ＴＨ型空间值模糊正规子群的同态象定理。