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A variational formulation is constructed from the famous Gelfand-Levitan equation to reconstruct the scattering potential.

从著名的Gel＇fandLevitan方程出发，本文构造了一个重建散射位势的变分公式。

In the end, we built a model of the 4-D variational data assimilation for a barotropic primitive equation based on GA and compared with the adjoint assimilation model.

同时，以正压原始方程组为例建立了基于遗传算法的变分同化模型，并从多方面与伴随模式变分同化系统进行了分析比较。

By investigating Euler\'s application of variational mathematics to mechanics, especially his principle of least action,the mechanics background of his research and its influence on Lagrange are revealed.6.By the discussion of Lagrange\'s innovation and generalization of the calculus of variations,the reason why Lagrange puts forward his method of variation by comparing Euler\'s method is explained.

深入细致地分析了拉格朗日对变(来源：ABC论文2d网www.abclunwen.com)分法所做的变革和发展：(1)通过比较欧拉方法和拉格朗日方法，探讨了拉格朗日变分方法——δ-方法提出的动因；(2)详细论述了拉格朗日早期对变分法发展所作的重要贡献；(3)探究了拉格朗日δ-方法由非参数形式向参数形式转变的原因。7。

Based on the variational principle of virtual voltage and virtual displacement derived in this thesis and the classical theory of linear laminated plates, and by using the constitutive equations of elastic piezoelectric materials, and the DKQ quadrilateral plate bending element, the finite element modeling for the fabric reinforced laminated plates with nonlinear voltage-electric strain relationship of piezoelectric actuators has been established for the first time in this thesis. And the expressions for the electric loadings with obvious mechanical meaning and convenient for computation are established, which can be used to the deformation analysis of laminated plates with piezoelectric actuators under specified voltages.

以本文直接导出的压电结构的虚电势—虚位移变分原理为基础，依据经典线性层合板理论和压电弹性体的本构方程，采用基于离散法线假设的DKQ四结点任意四边形薄板弯曲单元，首次建立了考虑非线性电压—电应变关系的含压电致动器的纤维增强型层合板的有限元分析模型，并推导建立了力学意义明确、便于计算的电荷载表达式，可用于指定电压条件下纤维增强型叠层合成板的变形分析。

A general model of two phase image segmentation based on variational level set method is proposed,and the region model is based on the image general probability distribution function.

基于变分水平集方法建立了两相图像分割的通用模型，其区域模型基于图像的一般概率分布函数，通过变分方法得到水平集函数的演化方程和符合常值分布、Gauss分布及Rayleigh分布的参数估计。

After solving the problem, the variational inequality sensitivity analysis method, generalized inverse approach, and gradient projection method are adopted to provide the solution algorithms for the bi-level programming model.

综上所述，本研究旨在建一套灾后网信赖评估方法，以解网是否满足灾后疏散的运输需求，并针对段容退化的关键段进修，进而提供灾害应变单位有效的决策支援。

In their laser-induced autofluorescence sepctra, the variational concentrations of protoporphyrin Ⅸ in these tissues were fully detected.

应用激光诱导自体荧光光谱系统测量不同坏死程度的胃癌组织的自体荧光光谱。

In their laser-induced autofluorescence sepctra, the variational concentrations of protoporphyrin IX in these tissues were fully detected.

应用激光诱导自体荧光光谱系统测量不同坏死程度的胃癌组织的自体荧光光谱。

We estab-lish,under some mild assumptions,a locally quadratic convergence theoremfor Method I and prove a semi-local convergence theorem for Method II.Applications of the two methods to complementarity,variational inequalityand optimization problems are investigated as well.

在某些适当的假设下，我们证明了方法I的局部二次收敛性和方法II的半局部收敛性；还研究了两个方法在求解互补问题，变分不等式问题及约束优化问题中的应用。

A more reasonable power system for value function is proposed. By variational assimilation technique,the atmospheric profile is retrieved in virtue of a refractivity model with four parameters.

在价值函数中提出了一个比较合理的权系统；通过四参数形式的折射率模型，采用变分同化技术，反演出大气折射率廓线。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。