查询词典 lagrange function

Therefore, from the theoretical point of view, a solution of the constrained problem and the corresponding values of the Lagrange multipliers can be found not only by the well known method of multipliers but also by performing a single unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers.

因此，从理论的观点来看，原约束问题的解和对应的拉格朗日乘子值不仅可以用众所周知的乘子法求得，而且可以通过对Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上执行一个单一的无约束极小化来获得。

The author give ways to construct Liapunov function of a lagrange system with energy consumption: One gives qualitative analysis of the mechanical system, the other gives quantitative estimation as well as qualitative analysis of the asymptotic stability of the studied mechanical system.

论文工作如下：(1)提出了非保守力学系统的李亚普诺夫函数构造途径：定性分析的能量函数方法和可用于定量分析的系统分解方法，并给出了分别使用上述方法的充分性条件。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

Presents again a new formulation of Lagrange s equations by using an augmented Lagrangian function with the second order non linear nonholonomic constraint equations.

以Dirac方程为依据，求出了在电磁场作用下，质量为m ，自旋为 1 /2的荷电粒子在场中运动时的能量本征值及其拉氏函数密度的明显表示式，并对其微观物理机制作出了较为明晰的解

Presents a new formulation of Lagrange s equations by using an augmented Lagrangian function with the first order non linear nonholonomic constraint equations, and offers a unified variational approach to both holonomic and nonholonomic constraints.

采用带有二阶非线性非完整约束方程的扩张性拉氏函数，建立起了拉格朗日方程的又一新公式，该新公式较为规则，它提供了一种完整约束系统和非完整约束系统两者统一的变分方法。

Further, strain energy function is separated into volumetric and deviatoric parts, and the relationship between the Green-Lagrange strain tensor and second Piola-Kirchhoff stress tensor is given.

在建立求解方程的过程中，Heaviside加权函数的引入完全或部分除去了刚度矩阵中的局部域积分项，大大简化了本文方法的计算工作量。

This article is based on the optimal power flow calculation system optimization, the price in generating cost for target function, through constructing Lagrange equation using matrix calculation, to find the shadow price equation and the proportion of each node determine the price, the coefficient of power transmission and power nodes.

本文是基于最优潮流计算对系统电价最优化，以发电成本为目标函数，通过构建拉格朗日方程，运用矩阵计算对方程求解，寻找影子价格确定各节点电价的比例系数，由此求出节点电价和传输电价。

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。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。