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首先改进互补变分原理。We first improve the complementary variational principle.

本文发展了S散射矩阵的时间相关的变分表示式。A time-dependent variational expression of S-matrix is developed.

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蜗壳座环强度的变量化分析。The variational analysis of spiral case and stay ring's strength.

通过变分法，我们研究了矢量孤子的动力学。Using the variational approach, we investigate the dynamics of the vector solitons.

变分问题是用变分不等式解决边值问题的桥梁。Variational problem is a bridge to solve boundary values by variational inequality.

在具有变分结构条件下推广了锐角原理。The acute angle theorem is extended under the condition of the variational structure.

利用变分法研究纤锌矿结构氮化物半导体材料中的浅杂质态问题。The shallow impurity states in wurtzite nitrides are studied by a variational method.

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均值场变分方法是图模型最基本的变分近似推理方法。The mean field variational method is a basic variational approximate inference method.

在本文的结束部分提出了用变分法估算风场垂直分量，并给出了方法步骤。The vertical velocity is going to be estimated by using a variational analysis method.

为了研究原子核的集团情况，我们建立了多中心变分的轻核模型。A multicentre variational model is proposed for the study of nuclear cluster formation.

变分法是17世纪末发展起来的一门数学分支。The variational method is a branch of mathematics, and was developed in the 17th century.

在第三章中，我们提出了基于变分曲面插值的网格融合方法。In chapter three, we propose a mesh fusion algorithm base on variational implicit surface.

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该文对于一类变分不等式提出了一种新的交替方向法。This paper presents a new alternating direction method for a class of variational inequalities.

基于约束变分原理，推导出全量有限元计算方程。Based on constraint variational principle, the deformation theoretical FE equations are deduced.

实际上，在节流效应和浮力效应作用下，隧道火灾是动态变化的。In fact, tunnel fire is unsteady and variational because of throttling effect and buoyancy effect.

已有的一些文献指出，薛定谔变分原理中的极值是极小值。Some references indicated that the extremum in the Schrodinger variational principle is a minimum.

最后，利用C—变分测度重新刻画了强C—积分的原函数。Finally, we depict the primitive of the strong C—integral in terms of the C — variational measures.

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最后讨论了边值问题与变分问题等价的充分条件。Sufficiant condition for the identity between variational problem and boundary problem is proposed.

本文讨论了一类抛物型变分不等式的近似收敛问题。A convergence estimate and approximation for a kind of parabolic variational inequality is discussed.

薄膜障碍问题是第一类椭圆型变分不等式的代表性模型。The obstacle problem is the typical example of the elliptic variational inequality of the first kind.