释义 |
Cauchy mean 基本例句 柯西中值 A Simple Proof for the generalization ofCauchy meanvalue theorem is given.给出Cauchy微分中值定理的推广的一个简单证明. On the proof of theCauchy meanvalue theorem,we give a simple method of construction for an auxiliary function.关于Cauchy中值定理的证明,我们给出辅助函数的一个简单的构造方法。 In the first part of the paper,the another form ofCauchy meanvalue theorem is studied.本文的第一部分研究了Cauchy中值定理的另一种形式。 This paper deduces an asymptotic property for the “median point” of Cauchy Mean value Theorem by adopting the Taylor Formula and the Law of L?Hospital.利用泰勒公式和洛必塔法则 ,推得柯西中值定理“中间点”的一个渐近性质 In the second part of the paper, the generalization ofCauchy meanvalue theorem is discussed and its weak form is given.本文的第二部分讨论了Cauchy中值定理的推广,并给出了它的弱形式。 Abstract: The paper proves Lagrange mean theorem andCauchy meantheorem with two methods different from that in the textbook, and generalizes Lagrange mean theorem.摘 要:本文分别用不同于教材的两种方法证明了拉格朗日中值定理及柯西中值定理,并对微分中值定理加以推广。 |