教学目的本节将考察欧氏空间上的可测函数和连续函数关系.本节将 证明重要的 Lusin定理,它表明 Lebesgue可测函数可以用性质较好连续函数 逼近.这个结果在有些情况下是很有用的 本节要点一方面,L可测集上的连续函数是可测的,另一方面, Lusin定 理表明, Lebesgue可测函数可以用连续函数逼近.usin定理有两个等价形式 另外,作为准备定理的 Tietze扩张定理本身也是一个很有用的结果 在§1.4我们已经给出了在R的任意子集上E连续函数的定义这里先看两个例子

2.1按要求填写下表。 电路名称连接方式(e、c、b)

Sociological Lessons from the Titanic ll. Defining Sociology A. Is it a science? And what does this mean? B. What are social facts? Why was Durkheim's study of suicide so important? C. What do sociologists study? (What is their unit of analysis?) E. Is sociology micro or macro? Do they study the big picture or the little picture? F. Is sociology global? In what sense?

一、分析点、线的物理意义 1、相图中的点 (1)组元的熔点 A:fe的熔点;d:fe3C的熔点(计算) (2)同素异构转变点 N: 8-Fe y-Fe; G:y-Fe a-Fe (3)碳在铁中最大溶解度点

fe-合金基本相:铁素体(F)(固溶体)、奥氏体(A)(固溶体)、渗碳体(e3C)(金属化合物) 一、铁素体(F): 碳溶于a-Fe中的间隙固溶体,溶碳能力极差。 727℃可达0.0218%b:250~350MPa6:30~50%:7080% 2:100~170MPaa:160~200J/cm2bs:80~120

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Quality is an essential feature that will lead the consumer to select or not any food product. With numerous food scares that have hit the food market in the UK and Europe (E. coli, BSE, genetically modified organisms-based products, dioxins in animal feed in Belgium)consumers have become much more aware

The practice of measuring and keeping records of temperatures is not new to the food industry, and has been undertaken by certain sectors, e.g. canning, for many years. However, its widespread application in the refrigerated food sector, other han fitting temperature measurement equipment to chill stores, is relatively recent. The prime factor focusing attention on temperature monitoring was the concern about food poisoning and the introduction of new legislation covering

Now consider the case of compressive loads and the instability they can cause. Consider only static instabilities (static loading as opposed to dynamic loading [ e.g., flutter) From Unified, defined instability via a system becomes unstable when a negative stiffness overcomes

实际物体的辐射不同于黑体。图7-11示出了同温度下某实际 物体和黑体的E=f(,T)的代表性曲线图上曲线下的面积分别 表示各自的辐射力