本文用待定系数法证明拉格朗日定理与柯西定理。
In this paper, we present the proofs of Lagrange Theory and Cauchy Theory. By this method we may determine coefficient.
中值定理包括罗尔定理、拉格朗日定理和哥西定理。
The middle value theorem consists of Roue. Lagrang and Cauchy theorem.
本文就罗尔定理、拉格朗日定理和柯西定理三者的区别与联系作了分析与探讨。
The paper makes an analysis and inquiry about the differences among the Roue Theorem. Lagrange Thoorem and Cauchy Theorem.
本文首先采用不同的几何手段，引进相应的辅助函数，对拉格朗日定理的证明进行了探索。
In this paper, using different geometric means, the introduction of the corresponding auxiliary function of the Lagrange theorem proof explored.
提出了一个新的支持向量机模型——基于边界调节的支持向量机，并利用拉格朗日定理得到了这种支持向量机的对偶目标函数。
In order for an SVM to be more robust to noise, a new SVM model i. e., the support vector machine based on adjustive boundary SVMAB is proposed.
本文基于拉格朗日动力学方程推导并提出了变运动学模型下动力学模型变换定理。
The kinetic model transformation theorem in the change kinematics model is put forward and deduced based on the Lagranges kinetic equation.
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.
然后利用拉格朗日乘数法与隐函数定理，求出了使其中一不等式局部反向的临界值。
Furthermore, utilizing the Lagrange method of multipliers and the implicit theorem to work out the critical value which makes one of those inequality locally inverted.
利用罗尔中值定理给出了函数与其拉格朗日插值函数间的关系，得到中值定理的另外一种形式，并给出了它的应用。
Another form about the median theory and its application is put forward according to the relation between the function and its Lagrange interpolation function in accordance with Rolls median theory.
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.
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.
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