Mixed Operation of Quaternion, Special Function Differentiation and Application of Rolle's Theorem in Mizar 四元数混合运算及特殊函数的微分公式和洛尔定理应用的Mizar实现
Rolle's theorem is a special case of the mean value theorem. 罗尔定理是中值定理的一种特殊形式。
This paper demonstrates the generalized Rolle theorem and discussed the zero of Legendre polynomials. 对广义罗尔定理进行了证明,并应用广义罗尔定理讨论了勒让德多项式的零点。
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. 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。
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. 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。
The generalized rolle theorem and it's application 广义罗尔定理及应用
Establishes a new Lagrange's Theorem for n-th-order derivative by using Rolle's Theorem and determinant theory. 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。
Extension of Rolle's Theorem 罗尔定理的推广
A method to construct auxilliary functions by inverse inference is given in this paper. This method is based on Rolle Theorem. 介绍了一种基于罗尔定理用逆推法来构造辅助函数的方法,它是从结论出发,逆推而上,构造出辅助函数。
A proof of the rolle's theorem extened 罗尔定理推广后的一个证明
On the basis of Rolle's Mid-value Theorem, this paper uses the fundamental methods of calculus to generalize the three conditions of the theorem of Rolle, and we can obtain the corresponding conclusions, which have more extensive application shown by some examples. 根据罗尔中值定理的理论,用分析的基本方法,推广了定理的三个条件,得到相应的结论,并通过例子说明推广后的罗尔中值定理具有更广泛的应用。
A Difference sampling Spectral Function Theorem is proved by the Rolle theorem. 本文利用Rolle定理证明了一个差值取样谱函数定理。
This paper presents the generalization of the Rolle's and mean value theorems in mathematical analysis to analytic function of a complex variable. 本文给出,数学分析中罗尔定理和中值定理在复变解析函数中的推广。
The paper gains some conclusion under the weak condition about Rolle theorem and differential mean theorem and makes it be used more widely. 给出罗尔定理与微分中值定理在较弱条件下的结论,使之适用范围更广泛一点。
Proving a Class of Problems by Rolle ′ Theorem 罗尔定理证明一类存在性问题
New Proof of the Method of Rolle Intermediate Value Theorem 罗尔中值定理新证
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. 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。
For the Lagrange mean value theorem proof, we always use the way of adopting auxiliary function and turn the suitable function into the Rolle mean value theorem. 对Lagrange中值定理的证明,在高等数学的传统证法中,通常都是采用引入一个辅助函数,将适合定理的函数转换成适合Rolle中值定理的函数的办法。
The author generalizes the theorem of Rolle in the calculus from closed interval to semi-infinite interval and infinite interval, which is useful for students to understand theorem of Rolle better. 本文将微积分中的罗尔定理从有限闭区间推广到了半无限区间和无限区间,有助于对罗尔中值定理的理解。
Being the basis of many theorems and formulas in differential calculus, the theorem of Rolle is a very important theorem. Roll定理是微分学中的一个重要定理,它是微分学中许多定理与公式的基础。
Based on Cauchy theorem and Rolle theorem, applied structure assist function method has proved the fundamental theorem. with lagrange remainder term of Taylor formula. 以柯西定理、罗尔定理为基础,应用构造辅助函数法对带有Lagrange余项的泰勒公式进行证明。
A Generalization of Rolle Theorem and Rota's Problem Rolle定理的推广和Rota问题
The construction method of subsidiary function in certifying algebraic expression with Rolle theory 用罗尔定理证明数学等式时辅助函数的构造方法
The surface defect detection system of train bearing rolle has been described. 本论文介绍了火车轴承滚子的表面缺陷检测系统。