恒等式证明的概率模型法

本文利用建立概率模型,证明几个重要的恒等式。有些恒等式用常用的分析方法证明是很不易的,但建立了概率模型后,通过求概率或求数学期望,很方便地把恒等式证明出来。     

Rigidity and flexibility of virtual polytopes

All 3-dimensional convex polytopes are known to be rigid. Still their Minkowski differences (virtual polytopes) can be flexible with any finite freedom degree. We derive some sufficient rigidity conditions for virtual polytopes and present some examples of flexible ones. For example, Bricard's first and second flexible octahedra can be supplied by the structure of a virtual polytope.     

乙酰胆碱对人胃粘膜上皮细胞和胃腺癌细胞内Ca2+、Mg2+浓度的影响

目的:探讨乙酰胆碱对人胃粘膜上皮细胞和胃腺癌细胞内Ca2 、Mg2 浓度的影响。方法:利用大型生化分析仪,检测了乙酰胆碱作用后培养的人胃粘膜上皮细胞和胃腺癌细胞内Ca2 、Mg2 的浓度。结果:与正常胃粘膜上皮细胞比较,胃腺癌细胞内Ca2 、Mg2 浓度偏低(P>0 01)。在乙酰胆碱作用下,胃粘膜上皮细胞内Ca2 浓度升高(P<0 01),Mg2 浓度降低(P<0 01);胃腺癌细胞仅有Ca2 浓度升高(P<0 05),Mg2 浓度无变化。阿托品能阻断乙酰胆碱的作用(P<0 05)。结论:乙酰胆碱对胃粘膜上皮细胞和胃腺癌细胞的作用是通过毒蕈碱受体实现的。     

不饱和烃同系物凝聚型物理性质递变规律的数学描述

以H-(CH2)n-CH=CH2和H-(CH2)n-C≡CH型同系物结构重复单元数值连续变化为模型,获得了描述该同系物凝聚型物理性质递变规律的数学表达式:P=(a0+a1n+a2n2)/(1+b2n2),式中a0、a1、a2、b2均为常数,n为结构重复单元数值,P为同系物的凝聚型物理性质。通过非线性回归分析,得到回归方程,结果表明同系物的凝聚型物理性质与重复结构单元数值之间满足上述关系式,并显示优良的相关性。     

关于图的第二特征标R2(G)

对任意图G，h(G，x)表示图G的伴随多项式，R2(G)表示图G的第二特征标，本文刻画了R2(G)=-2，-1，0，1，2的全部连通图。     

SSCK系列数控车床的致命度分析

通过对7台数控车床故障数据进行分析，查清了各故障部位、故障模式的比率，建立了失效模式影响及致命性分析(FMECA)表，从而为可靠性分析和可靠性设计提供了依据     

图书馆数字资源整合浅谈

介绍了图书馆数字化资源的主要类型和资源整合的目标，针对数字资源的特点，提出了图书馆数字资源整合的必要性，并论述了推进数字资源整合的措施。     

Research on a New-style Pipeline Inspection Robot System

IntroductionRecently pipe is used widely on the industry,agriculture and daily life. Natural gas and oil supplybecomes one of the fundamental public services and itsimpact on the urban infrastructure is getting larger. Theurban oil/gas pipelines, as they are buried under theground, are prone to external corrosion usually derived bymoisture and chemical agent in soil, which causes materiallosses of the pipe wall. Also, cracks in the welded regionand the da…     

APCI5000电气自动化成套装置设计

电气自动化成套装置种类繁多，并广泛应用于电力系统．结合现场实际商业运行期所积累的经验，并根据市场预测以及目前工控机发展动态，提出了采用APCI5000工业控制计算机实现电气自动化成套装置设计的最佳方案．     

Activation of peroxyl and molecular oxygen using bis -benzimidazole diamide copper (II) compounds

New tetradentatebis-benzimidazole ligands have been synthesized and utilized to prepare copper (II) complexes. Some of these copper (II) complexes have been characterized structurally. The copper (II) in these complexes is found to possess varying geometries. A distorted octahedral geometry is found with a highly unsymmetrical bidentate nitrate group. An unusual polymeric one-dimensional structure is observed where copper (II) is in a distorted square pyramidal geometry with a monodentate nitrate ion, having long Cu-O bond, while a distorted triagonal bipyramidal geometry is found with two carbonyl O atoms and a Cl atom in the equatorial plane, and two benzimidazole imine N atoms occupy the axial position. These compounds are found to activate the cumylperoxyl group, and this has been utilized in the facile oxidation of aromatic alcohols to aldehydes, where they act as catalysts with large turnovers. The yields of the respective products vary from 32 to 65%. The role of molecular oxygen has been studied and an attempt has been made to identify the “active copper species”. Activation of molecular oxygen has also been observed and has been used for oxidative dealkylation of a hindered phenol, producing di-butyl quinones with yields of 20–25% and 10–12 fold catalytic turnover. Dihydroxybenzenes and substituted catechols are also readily oxidized to the corresponding quinones, in oxygen-saturated solvents. Yields of 84% have been observed with 34-fold catalyst turnover, with di-t-butylcatechol. The activity of these copper (II) —bis-benzmidazolediamide compounds is reminiscent of the functioning of copper centres in galactose oxidase, tyrosinase and catechol oxidase.