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补充积集的概念。

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2023-03-26 23:15:55 +08:00
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13多变量函数的连续性.tex
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@@ -1,5 +1,11 @@
\chapter{多变量函数的连续性} \chapter{多变量函数的连续性}
\section{欧氏空间} \section{欧氏空间}
\begin{definition}[集合的积集]
设$A, B$是两个集合，定义
\[A \times B = \{(a, b) \mid a \in A, b \in B\}\]
并称之为$A$同$B$的积集。将$A \times A$简记为$A^2$。
\end{definition}
\begin{definition}[$n$维向量空间] \begin{definition}[$n$维向量空间]
我们定义 我们定义
\[\ndreal = \{(x_1, x_2, \dots, x_n) \mid x_i \in \realnum, i = 1, 2, \dots, n\}\] \[\ndreal = \{(x_1, x_2, \dots, x_n) \mid x_i \in \realnum, i = 1, 2, \dots, n\}\]