连续区间

A discussion is made of the continuously sufficient and necessary conditions of the bounded variation fon the closed interval in the paper.

讨论了有界变差数 f在闭区间上连续的充要条件以及函数 f在闭区间上有有界变差的充要条件。

Week 4 The definition of continuous, the nature of continuous function, integral of elementary functions, the nature of elementary functions on closed interval

第4周 连续的定义，连续函数的性质，初等函数的连续性，闭区间上连续函数的性质。

If is continuous on the closed interval and differentiable on the open interval, then there is at least one number in where

在闭区间上连续；(2)在开区间内可导

Week 5 The definition and nature of derivative, the geometric meaning of derivative, the relation between the derivability and the integral, derivation rule.

第4周 连续的定义，连续函数的性质，初等函数的连续性，闭区间上连续函数的性质。

The identity and difference in the expressional patterns between distribution functions of discrete random variables and distribution functions of continuous random variables are elaborated,and the main expressional patterns of distribution functions of continuous random variables are summarized,and the derivability of distribution functions of continuous random variables is discussed.

0引言在概率论中，连续型随机变量分布函数的表达形式及其可导性是一难点。其一，离散型随机变量的分布函数有较明显的性质和统一的表达形式，而连续型随机变量，由于其概率密度函数一般为分段函数，根据其分段区间的差异，表达形式差异较大，不容易总结其规律，本文主要比较连续型随机

Based on the ICMmethod,the discrete topological optimization problem about spot-weld's existence or not is transformed into the continuous optimization problem on[0,1].The optimization model is founded with maximizing the structural stiffness as objective and structural strength as constraints.The problem of multi-objectives and multi-constraints is transformed into the problem of single-objective and single-constraint with the K-S function.The displacement and stress are transformed into the explicit function of design variables with the Response Surface Methodology.The optimization model is solved with Sequential Quadratic Program.

基于ICM（Independent Continuous Mapping，即独立、连续、映射）方法，将焊点有无的离散拓扑优化问题转化为[0，1]区间上的连续优化问题；建立了以结构刚度最大为目标、结构强度为约束的连续拓扑优化模型；采用K-S函数将多目标和多约束问题转化为单目标和单约束问题；运用响应面方法将位移和应力转化为设计变量的显式函数，采用序列二次规划方法求解优化模型。

Theorem 3 Let be a continuous function on the interval and let be a number between and , then there is at least one number , such that.

定理 3 设函数在闭区间上连续，且在这区间的端点取不同的函数值及，那么，对于与之间的任意一个数，在开区间内至少有一点使。

Theorem 2 If the functionis continuous and increasing on the interval, then its inverse function is also continuous and increasing on the corresponding interval.

定理 2 如果函数在区间上单调增加且连续，那么它的反函数也在对应的区间上单调增加且连续。

Theorem 1 If the general term of the series is continuous on .and is unanimous convergent with the sum function on .

定理 1 如果级数的各项在区间上连续，且在区间上一致收敛于，则在上也连续。

The method comprises searching the undermost leaf node corresponding to a key word in a pre-established index tree; acquiring a block corresponding to the leaf node in the pre-stored IP address area of the virtual private network and corresponding index information, wherein the block comprises one or more consecutive IP address area and corresponding index information; acquiring the IP address area to which the key word belongs in the block; and searching the routing list corresponding to the index information according to the indexing information corresponding to the IP address area.

所述方法包括：在预先建立的索引树中查找关键字对应的最下层的叶子节点；在预先存储的虚拟私用网的IP地址区间和对应的索引信息中，获取叶子节点对应的块，该块包括一个或多个连续的IP地址区间和相应的索引信息；在该块内获取关键字所属的IP地址区间；根据该IP地址区间对应的索引信息，找到该索引信息对应的路由表项。所述装置包括：查找模块和获取模块。

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。