泛函分析

Fromthe functional,neutral equilibrium differential equations of buckling were derivedwhich describe the bucking behavior of thin-walled curved beams.

对薄壁曲梁小变形屈曲进行了详尽的分析，得出了薄壁曲梁屈曲时的系统势能的泛函，并由其得到了屈曲时的中性平衡微分方程，阐明了薄壁曲梁的屈曲特性。

Nonlinear functional analysis is an important branch of modern analysis mathematics, many problems arise from models of chemical reators, population biology, contagious disease, economics and other systems.

非线性泛函是现代分析数学的一个重要分支，它的许多问题来源于化学反应、人口生态、传染病、经济以及其它系统的模型。

At the same time, the research provides important theoretical evidence for the further study on the hydrolysable principle of cocaine in human\'s body, for the sake of designing the more active one-celled clone antibody which can catalyze the hydrolyzation of cocaine.

本文用密度泛函的B3LYP方法，在6-31G~*水平上对反应物、产物以及各种可能的中间体和过渡态进行了全参数优化，在同一理论水平上对势能面上的全部驻点进行了振动频率分析(来源：Ac9BCa6论文网www.abclunwen.com)。

We present quantum mechanical vibrational computations beyond the harmonic approximation from effective second order perturbative and variation perturbation treatments defined as static approaches, as well as vibrational analysis from density functional theory molecular dynamics trajectories at 300 and 600 K.

利用超简谐振动近似的有效二阶微扰法(VPT2)和变异微扰法两种静态方法，以及在300和600K下的密度泛函分子动态轨线振动分析方法进行量子力学的振动计算。

Based on the generalized potential energy variational principal of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of three-span self-anchored suspension bridge by considering the effect of axial compressive and shearing strain energy of stiffening girder.

摘 要：摘要：基于大位移非线性弹性理论的广义变分原理，考虑了加劲梁轴向压缩应变能和剪切应变能的影响，建立了三跨自锚式悬索桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了自锚式悬索桥的竖向挠曲振动、横向挠曲振动、纵向振动及扭转振动的基础微分方程，为自锚式悬索桥的固有振动性状分析提供可靠的理论依据。

Key words: probability theory and mathematical statistics; random variable functions; strong law of large numbers; non-homogeneous Markov chain functions

引用格 式：吴新星，郭明乐。任意随机变量序列泛函强大数定律的一个分析证明。中国科技论文在线精品论文，2009，2(1)：54～60。

In this paper we performed calculation on electrical structure of SnO2(110) surface of (1×1) and (2×1) symmetry with first principle DFT theory. We emphasized on the effect of O vacancies on surface electronic structure and future adsorption.

本文应用第一性原理密度泛函理论研究了具有(1×1)和(2×1)对称性的SnO2(110)氧化表面和还原表面的几何结构和电子结构，重点分析了表面氧空穴对表面电子结构的影响以及对气体分子吸附的影响。

The DFT (B3LYP/6-31 + G) method was used to study the relative stabilities and probable proton transfer in isolated and monohydrated 2,4-dithiothymine molecules in gas phase. The effects of water on relative stabilities and the rate of the proton transfer were analysed. The results indicate that only one tautomer for 2,4-dithiothymine can exist in gas phase.

采用密度泛函方法在B3LYP/6-31+G水平上研究了2，4-二硫基胸腺嘧啶孤立分子和水合物的异构体的相对稳定性和可能的质子迁移反应，分析了水分子的参与对 2，4-二硫基胸腺嘧啶异构体的相对稳定性和质子迁移速率的影响。

In this paper, the space-time finite element theory and its application technologies are studied and discussed. Furthermore the space-time finite element method is used to analyze the transient characteristics of electromagnetism equipments. The work is important to develop the numerical method for the transient electromagnetic field. The detailed work is as follow.In the basis theory of finite element method used in the transient engineering problem, the functional theory and the finite element theory are applied to studied the existence condition of a generalized variation principle, which is the basis of the space-time finite element method.

本文在完善时空有限元法的基础理论和应用技术并将该方法应用于解决电磁装置的瞬态过程分析等相关方面进行了深入的研究与探讨，该工作对于发展瞬变电磁场问题的数值计算方法具有重要的意义，为此进行了如下几方面的工作：在工程瞬变问题的有限元方法的基础理论方面，本文应用泛函理论和有限元理论，系统讨论了一般工程瞬变问题的变分定理的存在条件及对应的变分定理。

In order to design a high performance laser Doppler velocimeter, the relationship between the signal intensity of laser Doppler and the diameter of spot was analyzed using the speckle theory, and the calculation formulas of the Doppler current was given based on functional theory. The polarization characteristic of scattered light and its intensity distribution were investigated.

为了设计高性能的激光多普勒测速仪，运用散斑理论详细分析了激光多普勒信号的强度与散射光斑大小的关系，结合泛函理论给出了计算多普勒电流的散斑表达式，并通过实验的方法研究了回波信号的偏振特性及其强度分布。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。