查询词典 Lagrange multiplier

Then, a comparison is made between Undermined Lagrange Multiplier Method and Substitution Method, and it explains that these two methods have the same actions on cancelling and releasing restrictions.

比较了变分学中的Lagrange乘子法与代入法，说明二者在消除约束和放松约束方面具有相同的作用。

To avoid the trouble to construct the basis functions, we introduce a Lagrange multiplier into the variational formulation to replace the constraint condition for the basis.

本文采用同样的思路用Galerkin 边界元方法求解带有约束条件的与第一类Fredholm 间接边界积分方程等价的变分方程，为避免构造基函数时约束条件的限制，我们采用Lagrange 乘子法，把约束条件放入变分方程中去，形成扩展的变分方程，用线形单元离散后求解。

Then the weak formulation of the control equations considering the contact constraint conditions has been developed. Combined the Lagrange multiplier and penalty function methods, the augmented Lagrangian method is used to treat the contact constraint and solved the non-linear and non-smooth problems of the mechanical response perfectly. A finite element model has been applied for the test project of the reinforced slope and to study the mechanism of the interaction of the soil and reinforced material.

本文在Lagrangian网格的控制方程中引入接触界面条件，并采用了经典的Coulomb摩擦模型作为界面切向面力的本构模型，继而发展了考虑接触约束条件的控制方程的弱形式；在求解方法上，综合了Lagrange乘子法与罚方法的优点，采用增广的Lagrangian方法处理接触界面约束，很好地解决了接触问题中的高度非线性和响应不平滑性。

In the global equilibrating,a modified Lagrange multiplier method had bring forward. This method can solve inequality constrained optimizer problems. The method is easy to use and fast calculation.

在整体平衡中，提出了改进的拉格朗日乘数法，成功地解决了含不等式约束条件的优化问题，该方法具有计算简单，收敛速度快等特点。

For each given slip surface, an optimization model is suggested combined with Lagrange multiplier method. Genetic algorithm is adopted to search for the key slip surface, and a fitness function is proposed.

对于每次搜索中给定的滑移面，结合拉格朗日乘子法提出边坡可靠度的计算模型；采用遗传算法搜索关键滑移面，提出边坡的适应度函数。

Via semi-inverse method,the author has deduceda most concise generalized variational principle with only one Lin's constraint and onecorresponding Lagrange multiplier.

应用凑合反推法，作者推导得到了一个较为简洁的林家翘约束的广义变分原理，即只需一个林家翘约束和一个相应的拉氏乘子。

There is also a comprehensive treatment of optimality conditions, Lagrange multiplier theory, and duality theory.

这门课程也包括了对最优化条件，拉格朗日乘子理论，和对偶理论的综合论述。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对"中间点"的渐近性进行了研究，得出了一系列"中间点"的渐近性的结果，概括了有关文献对微分中值公式的"中间点"的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

A combinatorial identity is obtained:=:~z 2r扟32-rn-iJ As main result of this paper, in section two, the convolution梩ype identities emerge from our discussion about Lagrange formula whom in author 憇 view can be taken as the inherent characteristic of Lagrange formula but have been ignored fOi so long time.

第一章对拉格朗日反演在Riordan群理论中的应用进行了介绍，证明了一个组合等式：第二章通过对拉格朗日反演定理本身的分析，得到一个对任意的形式幂级数都适用的三个拟卷积公式，这些公式体现了任意能在零点解析的函数的内在性质。

Third, the use of Lagrange's theorem proving the points of the study on some conclusions, that the Lagrange theorem in the integral study also has a wide range of applications.

再次，利用拉格朗日定理证明了积分学上的几个结论，说明拉格朗日定理在积分学中也有广泛的应用。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。