关于函数的定义

关于函数的定义

我们决不能让00后大学生学习微积分输在起跑线上,20年后,仍然落后于西方发达国家。

请见本教材第一章第1.2节关于函数的序偶定义:

DEFINITION

A real fimctionof one variable is a set f of ordered pairs of real numbers such that for everyreal number a one of the following two things happens:

(i) There isexactly one real number b for which the ordered pair (a, b) is a member of f.In this case we say that f(a) is defined and we write f(a) = b. The number b iscalled the value of f at a.

(ii) There is noreal number b for which the ordered pair (a, b) is a member of f. In this casewe say that f(a) is undefined.

Thus f(a) = bmeans that the ordered pair (a, b) is an element of f. Here is one way tovisualize a function. Imagine a black box labeled f as in Figure 1.2.1. I(在此省略)

说明:此件系定于7月3日上午向教育部高教司理工处汇报工作之用,

袁萌摘抄于2018年7月1日

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转载自blog.csdn.net/yuanmeng001/article/details/80875596