From 5bceea2b478cb462f0b474395d0df2b651aec355 Mon Sep 17 00:00:00 2001 From: unlockable Date: Sun, 26 Mar 2023 23:15:55 +0800 Subject: [PATCH] =?UTF-8?q?=E8=A1=A5=E5=85=85=E7=A7=AF=E9=9B=86=E7=9A=84?= =?UTF-8?q?=E6=A6=82=E5=BF=B5=E3=80=82?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 13多变量函数的连续性.tex | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/13多变量函数的连续性.tex b/13多变量函数的连续性.tex index 3df984f..28565db 100644 --- a/13多变量函数的连续性.tex +++ b/13多变量函数的连续性.tex @@ -1,5 +1,11 @@ \chapter{多变量函数的连续性} \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] 我们定义 \[\ndreal = \{(x_1, x_2, \dots, x_n) \mid x_i \in \realnum, i = 1, 2, \dots, n\}\]