连续区间

Theorem 1 (Boundedness and max-min theorem) If is a continuous function on a closed interval, then has an absolute maximum and an absolute minimum on the interval.

定理 1 (有界性与最大值最小值定理)在闭区间上连续的函数在该区间上有界且一定能取得它的最大值和最小值。

Using the equivalent condition under which the limit of a sequence of fuzzy numbers exists in the sense of level convergence, we analyze the structure of the level continuous fuzzy number valued function. On the basis of it, we prove the level continuous fuzzy number valued function on a closed interval exists supremum and infimum and give the precise representation.

利用模糊数序列水平收敛意义下极限存在的充要条件，在分析了水平连续函数结构特点的基础上，证明了闭区间上水平连续的模糊数值函数存在上、下确界，并给出了上、下确界的具体表达式。

Theorem 2 Letbe a continuous function on the interval and, then there is a , such that .

定理 2 设函数在闭区间上连续，且与异号即），那么在开区间内至少有一点使。

As an application, it is proved that a continuous map of an interval is chaotic iff it is distributively chaotic in a sequence.

给出紧度量空间上连续映射按序列分布混沌的一个充分条件，并证明区间连续自映射是混沌的当且仅当它是按某序列分布混沌的。

Let be continuous on ,and .If the limit exists and have finite value , the value is the improper integral of on ,which is denoted by,that is

定义1 设函数在区间上连续，取，如果极限存在且为有限值，则此极限为函数在无穷区间上的反常积分，记作，即

Ablish two decision theorems of relative compactness for unbounded function groups in an infinite interval.

sect；2.3我们建立了判定无穷区间上抽象无界连续函数组和抽象无界可微函数组相对紧性的充分必要条件，并对无穷区间上抽象二阶微分方程两点边值问题无界解的存在性做了研究。

We proved the second mean value theorem of integral with intermediate value of continuous function and absolute continuity of integral, and determine that is true even in the infinity interval with same method.

用连续函数的介值性和积分的绝对连续性证明了积分第二中值定理，并用同样的方法证明了当区间为无穷区间时的积分第二中值定理。

The study results indicate that the simulation results in Zhangjiashan and the area between Xianyang and Lintong are more reasonable. Layered Continuous Muskingum method is used to rout the flood in mainstream, and the runoff process at Huaxian station is composed of the results of Muskingum and the runoff simulated in interzone.

在渭河下游流域移用秦渡镇控制流域的模型参数来模拟区间的洪水过程；干流洪水演算采用马斯京根分层连续演算法，最后将区间模拟的径流过程和干流径流过程相叠加形成华县站的流量过程。

Essay 2: This paper examines the effect of obesity on earnings. It analyzes the 2001 National Health Interview Survey of Taiwan using the ordered probit model with sample selection in which earnings are defined as an ordered variable. We also transform the earnings from ordered variable to continuous variable and use the Heckman's two-stage model to estimate the effect.

第二篇：本文主要在探讨肥胖对收入的影响，并使用国家卫生研究院，民国90年国民健康访问调查资料(National Health Interview Survey， NHIS)来进行分析，并采两阶段的ordered probit with sample selection模型来进行估计，其中第一阶段为样本的就业选择问题，而第二阶段为样本在有就业的情况下，肥胖对劳动者收入的影响，而此收入为区间资料；另外，本文还将收入的区间资料转换为连续资料，以Heckman's two-stage的方法估计，并比较两估计结果。

Theorem 2 If the general term of the series is continuous on ,and is unanimous convergent with the sum function . Then

定理2 如果级数的各项在区间上连续，且在区间上一致收敛于，则级数在上可以逐项积分，即

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。