查询词典 variational problem

Based on the sizeof the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the infconvolution sequence.

摘要通过函数的下卷积函数列的逼近方法，在变分原理中从扰动最小值点集的"大小"入手，研究了下半连续函数的可微性。

At first, two optimal control problems for hybrid dynamic time-varying systems with free-terminal and terminal constraint are considered, value functions of these two optimal problems are respectively proved to be the unique viscosity solution and the unique lower semicontinuous solution to a type of Quasi-Variational Inequality and the relationship between them is addressed.

本文首先分别考虑了有限时间混合动态时变系统在终端自由和终端约束两种情形下的最优控制问题，得到了最优控制问题的解在这两种情形下分别是一类拟变分不等式的唯一的粘性解和唯一的下半连续解的结论，并给出了它们之间的关系。

Based on the generalized potential variational principle 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 collaborated system structure by considering the effect of axial compressive and shearing strain energy of stiffening girder.

摘要基于大位移非线性弹性理论的广义变分原理，考虑加劲梁轴向压缩应变能和剪切应变能的影响，建立了协作体系斜拉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协作体系斜拉桥的加劲主梁竖向挠曲振动微分方程。

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

摘 要：基于大位移非线性弹性理论的广义变分厚理，考虑了加劲梁的压弯耦合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、横向挠曲振动和纵向振动的基础微分方程，忽略非线性项的影响，进而得到线性振动微分方程。

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。

The following are the major work in this thesis which has been studied and still needs to be studied further in the future: 1 An improved adjoint variational method is developed, thus it can be applied to the LAGFD-WAM Wave Numerical Model for data assimilation; 2 A linear evolution equation of spectral perturbation is derived in order to analyze its increasing or decreasing mechanism.

本论文主要完成了以下几个方面的研究： 1）建立了推广形式的共轭变分同化方法，使之能够应用于LAGFD-WAM海浪数值模式； 2）导出了扰动谱线性演化方程，分析了扰动谱增长、衰减机制，考察了涌浪情况下扰动谱的持续时效问题及风浪情况下扰动的演变过程； 3）利用波谱共轭方程初步分析了同化模型中距离泛函的敏感性及敏感区域空间分布； 4）将推广的共轭变分方法应用于海浪谱能量平衡方程，建立了连续形式的海浪同化模型，特别是严格导出了风输入、破碎、底摩擦、波波非线性相互作用和波流相互作用各源函数的共轭源函数表示式； 5）分别进行了波谱层次上和有效波高层次上的同化试验，并对数值结果进行了分析。

Beijing is provided with typical urban landscape, forest land is the maximal and basal landscape patch type (area proportion 42.534%), glebe field (28.754%),spinney land and urban (26.912%) and town residential landuse (10.344%) are main landscape patch categories in Beijing. From landscape, landscape patch types and landscape patch categories levels, landscape patch distributing centralize, and patch shape is simple, main landscape patch fractal dimension indexes are under 1.1, so urban landscape pattern is high influenced by human disturbance.2. From 1985 to 2007, Beijing landscape pattern variational characteristics are as follows:(1) During 1985-2007, patch types and categories change is little, but area and patch number of patch types and categories change distinctly. Town residential landuse area increased 7.66% of Beijing total area, farmland and forest land area decrease in the mass. The total patch number increased at first then decreased. taking one with another, the total number is decreasing, and patch number of farmland and forest land are most distinct.

本研究的主要研究结果如下：1、北京市具有典型的城市景观特征，林地用地的面积占市域面积的42.534%，为基质景观斑块类型，旱田(28.754%)、灌木林(26.912%)、城镇用地(10.344%)是北京市主要景观斑块种类；从景观、景观斑块类型以及景观斑块三个层次的研究均表现出北京市各景观斑块类型及景观斑块集中分布的现象十分突出，斑块形状简单，主要景观斑块种类的景观分维度指数值均不足1.1，表明城市景观格局受到了较大的人为影响。2、北京市1985-2007年间城市景观格局的主要变化特征表现为以下几个方面：(1)在研究时段内，北京市景观斑块种类变化不大，景观组分面积和斑块数变化明显，其中最为显著的是北京市城镇建设用地面积呈单纯的增加趋势，增加幅度为北京市总面积的7.66%，农业用地与林地的面积虽呈波动变化但总体呈减少趋势；景观斑块数量先增后降，总体呈下降趋势，其中耕地与林地斑块数的变化最为明显。

It has an important relation with stationary point theories, variational inequality, linear and nonlinear analysis, and some applied mathematical problems such as economic and equilibrium problems.

它与不动点理论，变分不等式问题，线性和非线性分析，以及其他领域的应用数学如经济，平衡问题等都有密切的联系。

Some properties and convergence theorems of the Henstock variational integral for stochastic process with respect to canonical Brownian motion are probed.

讨论了关于布朗运动的随机积分用Henstock变差逼近的方法所定义的积分的一些性质和收敛定理。

Stochastic maximum principle,risk-sensitive control,convex variational technique,portfolio choice

随机最大值原理，风险敏感控制，凸变分技术，投资组合选择

When this condition occurs, inbound replication with the source partner is stopped on the destination domain controller and event ID 2042 is logged in the Directory Services event log.

计算机密码学是研究计算机信息加密、解密及其变换的科学，是数学和计算机的交义学科，也是一门新兴的学科。

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使用说明：滑鼠点在小图上即可放大观赏。开启后键盘左右键可用来换照片。