拉格朗日

基本解释 (translations)

Lagrange

与拉格朗日相关的网络例句 [注：此内容来源于网络，仅供参考]

From the perspective of the variational discussion of Lagrange\'s contributions to the principles and analyzation of mechanics,the interaction between the calculus of variations and mechanics,especially the variational principles is made clear.

结合拉格朗日微积分代数化方案和18世纪可积性条件的研究，探讨了拉格朗日关于变分法基础研究的数学背景及相关工作；通过对《分析力学》中静力学约束平衡问题的细致考察，系统探讨了变分法中乘子法则的力学渊源、提出过程及意义。

On the one hand, Lagrange hit upon the new idea to redefine the complete integral when he was inspired by his study on the first-order partial differential equation with the method of variation of constants.

在分析、比较欧拉和拉格朗日完全积分定义的基础上，依据原始文献，重点考究了拉格朗日重新定义偏微分方程完全积分的原因和动机。

It provided a correct and reasonable mathematical model for the analysis of the ultimate bearing capacity and crankle stability of the thin-walled structure.

论文在比较了两种运动描述方法（完全拉格朗日法和更新拉格朗日法）异同点并分析了非线性几何关系及大变形下的弹性物理关系的基础上，基于增量虚功原理推导了几何非线性空间梁元单元切线刚度矩阵，采取分模块形式，分别表示了轴力、弯矩、双力矩对几何矩阵的贡献；通过球面显式荷载增量迭代式弧长法求解方法编制程序，很好地实现了几何非线性增量荷载的自动步长选择及全过程跟踪，为薄壁杆系结构的极限承载力分析和弯扭失稳分析，提供了较为精确合理的分析力学模型。

Lagrange interpolation focus on the application of the formula .The comparison between the method of Transform and that of Lagrange's interpolation formula in square matrix form is made. Also the form of Lagrange's interpolation formula is generalized to include the double root case.The application of the generalized lagrange's interpolation formula in square matrix to solving state equations is found to be effective.

重点介绍了Lagrange插值公式在状态方程求解中的应用，用对角矩阵及相似矩阵的性质证明了，当状态转移矩阵中方阵的特征根相异时，拉格朗日插值公式与Laplace变换法对表达具有一致性，并用极限方法对方阵含二重根时拉格朗日插值公式的应用进行了推导。

In this paper,the author introduced an approximate augmented Lagrangian function in nonlinear programming,established dual mapping and the related dual problem of this augmented Lagrangian function and obtained the results of approximate strong duality and approximate weak duality of original problems.

介绍了非线性规划中的一种近似增广拉格朗日函数，建立了基于这种增广拉格朗日函数的对偶映射和相应的对偶问题，得到了原问题和对偶问题的强近似对偶和弱近似对偶结果。

In this paper,we psesented that the principle of least action or Hamilton principle is ample and necessary condition of Lagrangian equation,pointed out the properties of Lagrangian function briefly,and gave the generalization and application of Lagrangian function in physics.

本文论述了力学最小作用量原理或哈密顿原理是拉格朗日方程的充分必要条件，简述了拉格朗日函数的性质，指出最小作用量原理及拉格朗日函数在物理学中的推广及应用。

For the single objective optimization, the decomposition and coordination method is adopted to build the decomposition and coordination model according to the existing sub-area division conditions of power networks. Then using the Augmented Lagrange method, the minimization problem of decomposition and coordination model can be changed to the saddle point problem of augmented Lagrangian function. Finally, the so called auxiliary problem principle is selected to decompose variables as well as the functions. This transforms the voltage and reactive optimization problem of the wholenetworks to some sub-problems in some sub-areas.

对于单目标无功电压优化，根据实际电网分区情况，采用分解协调法复制各分区的边界节点，建立分解协调模型，采用增广拉格朗日法将求分解协调模型的极小值问题转化为求增广拉格朗日函数的鞍点问题，然后采用辅助问题原理分解变量和增广拉格朗日函数，从而将全网无功电压优化问题分解为多个分区的分布式并行优化问题。

In this paper,some approximate optimal solutions and an augmented Lagrangian function in nonlinear programming were introduced,duality map and duality problems based on the augmented Lagrangian function were established, relationship between the approximate optimal solutions of augmented Lagrangian function and primal problem was discussed.

介绍了几种近似最优解和增广拉格朗日函数，建立了基于增广拉格朗日函数的对偶映射和相应的对偶问题，讨论了增广拉格朗日函数的几种近似解和原问题的几种近似解的关系，得到的结果推广了一些已有的结论。

Bernstein type theorem; Quaternion Euclidean space; minimal Lagrangian graphs; Twisted special Lagrangian submanifold; twisted normal bundle; Austere submanifolds; Real space form; Complex space form; Hamiltonian minimal submanifold; A Lagrangian submanifold with conformal Maslov form

基础科学，数学，几何、拓扑伯恩斯坦型定理；四元数欧氏空间；极小拉格朗日图；扭曲特殊拉格朗日子流形；扭曲法丛； Austere子流形；实空间形式；复空间形式；哈密尔顿极小子流形；具有共形Maslov形式的拉格朗日子流形

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。

与拉格朗日相关的网络解释 [注：此内容来源于网络，仅供参考]

lagrange d'alembert principle：拉格朗日 达朗伯原理

lagrange bracket 拉格朗日括号 | lagrange d'alembert principle 拉格朗日 达朗伯原理 | lagrange dirichlet theorem 拉格朗日 狄利克莱定理

lagrange d'alembert principle：拉格朗日-达朗白原理

拉格朗日不变量 Lagrange invariant | 拉格朗日-达朗白原理 Lagrange-d'Alembert principle | 拉格朗日方程[式] Lagrange's equation

lagrange dirichlet theorem：拉格朗日 狄利克莱定理

lagrange d'alembert principle 拉格朗日 达朗伯原理 | lagrange dirichlet theorem 拉格朗日 狄利克莱定理 | lagrange equations of the first kind 第一类拉格朗日方程

lagrange equation of motion：拉格朗日运动方程

lagrange bracket 拉格朗日括号 | lagrange equation of motion 拉格朗日运动方程 | lagrange interpolation formula 拉格朗日插置公式

lagrangian formalism：拉格朗日形式论

lagrangian 拉格朗日算符 | lagrangian formalism 拉格朗日形式论 | lagrangian function 拉格朗日函数

Lagrange's interpolation formula：拉格朗日插值公式

Lagrange's equation 拉格朗日方程 | Lagrange's interpolation formula 拉格朗日插值公式 | Lagrange-multiplier method 拉格朗日乘式法

Lagrange's interpolation polynomial：拉格朗日插值多项式,拉格朗日内插多项式

Lagrange's interpolation | 拉格朗日插值法,拉格朗日内插法 | Lagrange's interpolation polynomial | 拉格朗日插值多项式,拉格朗日内插多项式 | Lagrange's planetary equation | 拉格朗日行星运动方程

Lagrange multiplier procedure：拉格朗日乘子方法

Lagrange multiplier method | 拉格朗日乘子法[LMM] | Lagrange multiplier procedure | 拉格朗日乘子方法 | Lagrange point | 拉格朗日点

lagrange problem：拉格朗日问题

lagrange multiplier 拉格朗日乘子 | lagrange problem 拉格朗日问题 | lagrange remainder term 拉格朗日剩余项

lagrange three body problem：拉格朗日三体问题

lagrange multiplier 拉格朗日乘数 | lagrange three body problem 拉格朗日三体问题 | lagrange's equation of motion 拉格朗日运动方程