查询词典 limit theorem

In addition also introduced the differential theorem of mean in the proof equality and the inequality, the certificate equation root existence, asks the limit, to ask the approximate value, as well as aspect and so on research function condition should thus deepen to the differential theorem of mean understanding.

此外还介绍了微分中值定理在证明等式和不等式、证明方程根的存在性、求极限、求近似值，以及研究函数性态等方面的应用，从而加深对微分中值定理的理解。

Based on the view that the theorem of closed mested interval is an axiom,this paper deduces the essential limit of monotonic bounded sequence of number and the Dedekind theorem,and proves the general theorem of bull closed nested interval of real number .

以通常所说的闭区间套定理作为公理推出单调有界数列存在极限和Dedekind定理，并且证明了通常所说的实数满闭区间套定理

Using variable upper limit integration and Lagrange mean value theorem,this article proves the first mean value theorem under the same condition and give several spread of the first integral mean value theorem .

在条件完全相同的情况下改进积分第一中值定理，并利用变上限积分函数和拉格郎日中值定理证明该定理，并给出积分第一中值定理的几个推广

In this paper we have obtained the sufficient and necessary condition concerning the passage to the limit under the integral sign, and have given some examples of the problems which can be solved by the theorem of this paper but cannot be solved by the familiar Vitali's theorem.

关于积分号下取极限的问题，有著名的Lebesgue定理及Vitali定理。本文作者进一步研究了这一问题，得到了积分号下取极限的充分和必要条件，并给出了几个能用本文结果解决而不能用Vitali定理解决的例子。

In the second chapter, we consider a kind of Kolmogorov system. The sufficient condition for nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained by using divergence integral, Poincare-Bendixson theorem and Zhang Zhifenunique theorem.

第二章讨论了一类Kolmogorov系统，利用发散量积分、环域定理和张芷芬唯一性定理，得到了该系统无闭轨的充分条件和存在唯一极限环的条件。

What is discussed in this paper is on the applications of the integral upper limit function in proving the equality, proving the inequality, calculating the repeated integral , the theorem of integratl mean value , prove the theorem of differention mean value .

给出了积分上限函数在证明等式和不等式、算累次积分、明微分中值定理和积分中值定理中的应用。

The use of Differential Mean Value Theorem (Rolle theorem, Lagrange's theorem, Cauchy's theorem) to solve a number of derivative and limit the problem.

利用微分中值定理（罗尔定理，拉格朗日定理，柯西定理）解决一些导数和极限的问题。

Major topics covered are: basic concepts of probability, sample space and events, axioms of probability, random variables, discrete and continuous distributions, joint and marginal distributions, numerical characteristic for random variables, the weak law of large numbers, central limit theorem, basic concepts of statistics, parameter estimate, hypothesis testing and regression analysis.

本课程的基本内容有：随机事件及其概率、随机变量及其分布、多维随机变量及其分布、随机变量的数字特征、大数定律与极限定理、数理统计的基础知识、参数估计、假设检验、回归分析。

This paper put forward two methods of constructing randomizer in the Fractal applications:(1) The randomizer satisfing the Gauss normal distribution N(0,1) is constructed basing on central limit theorem of the probability theory;(2) The random sequence is created basing on the Chaos principle. There is not only randomness inside the random sequence but also in random sequence itself.

提出分形理论应用中构建随机数发生器的两种方法：根据概率论的中心极值定理，产生服从高斯正态分布N(0，1)的随机数；基于混沌学原理产生随机数，不仅随机数序列内部有随机性，而且随机数序列本身也具有随机性。

Topics include: sample spaces, axioms of probability, conditional probability and independence, discrete and continuous random variables, jointly distributed random variables, characteristics of random variables, law of large numbers and central limit theorem, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.

概率论部分作为基础知识，是全部内容的重点之一，为读者提供必要的理论基础；数理统计部分，主要介绍常用的统计推断方法：参数估计、假设检验、方差分析、回归和相关分析等内容。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。