拉格朗日定理

Lagrange mean value theorem is to examine the function of the characteristics of a powerful tool.

拉格朗日中值定理是研究函数特性的一个有力工具。

Secondly, the Lagrange mean value theorem in some proof of identity and the inequality in a wide range of applications.

其次，拉格朗日中值定理在一些等式和不等式的证明中应用十分广泛。

The Lagrange theorem of mean studies a function characteristic powerful tool.

拉格朗日中值定理是研究函数特性的一个有力工具。

Lagrange mean value theorem on the wrong usage of some brief analysis.

对拉格朗日中值定理的一些错误用法进行简要分析。

Not only that, in the calculus, series theory, as well as the basis of mathematical analysis to many aspects of the Lagrange mean value theorem is an important means of research, often play a pivotal role.

不仅如此，在积分学，级数理论等方面，以及以数学分析为基础的许多方面，拉格朗日中值定理也是研究问题的重要手段，经常发挥举足轻重的作用。

Not only that in the integral calculus, aspects and so on progression theory, as well as take the mathematical analysis as foundation many aspects, the Lagrange theorem of mean is also studies the question the important means that plays the pivotal role frequently.

不仅如此，在积分学，级数理论等方面，以及以数学分析为基础的许多方面，拉格朗日中值定理也是研究问题的重要手段，经常发挥举足轻重的作用。

We know that examples of special Lagrangian submanifolds are very important for studying these submanifolds.

我们也采取相应的思想，得到一些四元数欧式空间中有关极小拉格朗日的伯恩斯坦型定理。

An integrated Hamiltonian theory was constituted in Classical Mechanics and applied to studying the form of Lagrange equation in theory of electromagnetic, the Schrodinger equation and the Liouville theorem in statistical Physics.

经典力学利用Hamilton系统建立了一套完整的Hamilton理论，用以研究电磁场理论的拉格朗日方程形式，薛定谔波方程，统计物理学中的Liouville定理等。

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。

As the inversion and compression attack includes the question relating to solving thepreimage from image of function, a subdivision algorithm for solving preimage of function withbounded derivative based on Lagrange mean value theorem is proposed firstly.

由于逆推压缩攻击方法涉及混沌映射的求逆，针对复杂混沌映射求逆困难的问题，运用拉格朗日中值定理，我们提出了求解导函数有界的函数原象的分割算法，给出了使分割算法计算复杂性上界达到最小的充分条件。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新