拉格朗日定理

利用罗尔定理和行列式知识建立了一个关于n阶导数的拉格朗日定理。

Establishes a new Lagrange 's Theorem for n-th-order derivative by using Rolle 's Theorem and determinant theory .

根据拉格朗日定理，建立了空间车辆模型，基于逆傅立叶变换法生成了4种等级的桥面不平度。（5）提出了一种基于BP神经网络的桥梁移动荷载识别方法。

A spatial vehicle model is established according to the Lagrange principle , and four grades of road irregularity are generated based on the inverse Fourier transforming technique . ( 5 ) A novel BP neural network-based identification method for moving loads of bridges is proposed .

依据拉格朗日定理，在考虑Hertz弹性变形和弹性流体动压润滑的情况下，建立了圆柱滚子轴承旋转过程中的动态刚度模型，并用试验验证了动态刚度模型。

This paper presents the dynamic stiffness model of cylindrical roller bearings according to the Lagrange theorem considering both the Hertz elastic deformations and the elastohydrodynamic lubrications , and the model is verified by experiments .

拉格朗日定理证明与辅助函数的应用

The Proving of Lagrange Theorem and the Application of Auxiliary Function

二阶拉格朗日定理和柯希定理中间点的渐近性质

Asymptotic Property of Mediant for Lagrange 's and Cauchy 's Theorem of Second Order

在这篇文章里我们得到二阶拉格朗日定理和二阶柯希定理的中间点渐近性质的重要结果是

The author obtained important results of the asymptotic property of the mediant for Lagrange 's and Cauchy 's theorem of second order as

以三角形面积函数为辅助函数来证明拉格朗日定理与柯西定理，并对柯西定理作了推广，得出三个函数之间的中值关系式。

In this paper we construct an auxiliary function to verify Lagrange 's & Cauchy 's theorems , with a generalization of Cauchy 's theorem .

比如说，有的算术定理需要无数步来证明――比如拉格朗日定理：任一自然数都是四个平方数的和。谁能保证说，一直往下找，不会遇到矛盾？

There were , for instance , theorems in arithmetic which took thousands of steps to prove - such as Gauss 's theorem that every integer could be expressed as the sum of four squares . How could anyone know for sure that there was not some equally long sequence of deductions which led to a contradictory result ?

应用拉格朗日中值定理解题方法探讨

Discussion about method of solving problems by using Lagrange middle value theorem

拉格朗日中值定理的简单证明与应用

Simple Proof and Application of Lagrange Mean Value Theorem

拉格朗日中值定理的新证明

A New Proof of Lagrange 's Mean Theorem

拉格朗日中值定理的应用

Generalize the Use of Differential Middle Value Theorem

拉格朗日中值定理的巧用

Skilfully using Lagrangian middle-value theorem

通过拉格朗日中值定理分析了影响结构辐射声功率计算精度的因素；

The factors that influenced the sound power calculation accuracy were analyzed by Lagrange differential mean value theorem .

然后根据拉格朗日中值定理对毛细管、冷凝器和蒸发器的分布参数模型进行简化得到毛细管、冷凝器和蒸发器的简化模型；

After that , it gets the simplified models of condenser , capillary and evaporator by simplifying the corresponding distributed models with Lagrangian Middle-value Theorem .

给出柯西中值定理的一个新的证法，说明柯西中值定理也可由拉格朗日中值定理导出。

This paper gives the new method to prove the Cauchy Mean Value Theorem , which also may be deduced from the Lagrange Mean Value Theorem .

总结了高等数学中拉格朗日中值定理五个方面的应用，并举例加以说明。

The paper sums up the application of Lagrange mean theorem in five aspects in high mathematics , and give an example to illustrate its application .

其证明方法关键在于构造一个辅助函数，再应用罗尔中值定理推出拉格朗日中值定理的结论。

Its key proof is to construct an auxiliary function , which is used by Roll 's theorem to reach a conclusion of Lagrange 's theorem .

根据拉格朗日中值定理，运用分析的基本方法，推广了拉格朗日中值定理的三个条件，得到并证明了相应的结论。

On the basis of these theories , Rolle mean value theorem , Lagrange mean value theorem and Cauchy mean value theorem are proved by constructing nested interval .

文章给出罗尔中值定理的一个推论及给出辅助函数新的构造方法，来证明拉格朗日中值定理和柯西中值定理。

This paper provides an inference of Rolle mean value theorem and a new structure method of auxiliary function so as to prove Lagrange mean value theorem and Cauchy mean value theorem .

提出罗尔定理证明一类存在性问题的方法，采用拉格朗日中值定理或柯西中值定理来证明这类问题往往需要构造精巧的辅助函数，我们还指出了这种方法的一般性。

We present a general method to prove a class of problems by Rolle ′ s theorem , which need make tricky function by Langrange or Cauchy mean value theorem , and point out our method is feasible for these problems .

利用拉格朗日中值定理、函数的单调性及泰勒中值公式给出了凸函数一个定理的三种新的证明方法，还给出了定理的一个推论，最后给出两个例子对其推论加以应用

This paper carried out Lagrange 's to acquire three new proofs and one corollary , final analysis is carried out by two examples . Seek the functional limit by making use of mean value theorem and B.Taylor expansion On Application of Tayler Formulation

集合函数多目标规划的拉格朗日型对偶定理

Lagrange Duality Theorem for Multiobjective Programming with Set Functions

拉格朗日微分中值定理几种不同的证法运用拉格朗日法分析基坑开挖与土钉支护

Different Ways of Testifying the Lagrange Differential Theorem of Mean ; Analysis of Soil Nailing with Lagrangian

最后，结合拉格朗日微分中值定理改进了积分中值定理的条件和结论。

Finally , the condition and result of integral mean-value theorem are also improved combined with the lagrange mean value theorem of differentials .

讨论凸多目标最优化问题的严有效解，建立了拉格朗日乘子定理，并把严有效解表示为一个适当的拉格朗日函数的鞍。

We establish a Lagrange multiplier theorem for strict efficiency in convex settings and express strict points as saddle points of an appropriate Lagrangian function .

给出了拉格朗日微分中值定理和第一积分中值定理中值点的渐进性的更一般性的结果及其简洁证明。

Gives more general results on the gradualness of the median point of Lagranges median theorem and first median theorem for integrals and its succinct proof .

本文从对称变换保持系统的动力学方程（以及对易关系）不变出发，推导出量子场论中的连续对称变换所产生的守恒律，而不借助于拉格朗日体制的Noether定理。

We shall show that continuous symmetery transformation in quantum field theory , which leave the equation of motion invariant , will generate conservation laws without use Noether theorem of Lagrangian formalism .

以二次型形式给出约束极值拉格朗日乘数法的一个二阶充分条件，并用反证法由拉格朗日中值定理及泰勒公式予以证明；

This paper gives the second order ample condition of Lagrange multiplier rule of constrained extreme value with the quadratic form , and proves it by use of counterevidence with the help of Lagrange theorem of mean value and Taylor formula ;