From 93fb144736708697a28f79a662cc37f336b3cb5f Mon Sep 17 00:00:00 2001 From: unlockable Date: Tue, 25 Oct 2022 23:30:13 +0800 Subject: [PATCH] =?UTF-8?q?=E5=8A=A0=E4=B8=80=E4=B8=AA=E5=8F=B3=E7=BB=9D?= =?UTF-8?q?=E5=AF=B9=E5=80=BC=E7=AC=A6=E5=8F=B7=E3=80=82?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 06IntergersDivisorsAndPrimes.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/06IntergersDivisorsAndPrimes.tex b/06IntergersDivisorsAndPrimes.tex index 2461030..bb02029 100644 --- a/06IntergersDivisorsAndPrimes.tex +++ b/06IntergersDivisorsAndPrimes.tex @@ -591,7 +591,7 @@ Mon为单位元：$\mathrm{Wed} \times \mathrm{Mon} = \mathrm{Wed}$。 \begin{align*} \lvert A_i \cap A_j \rvert & = \frac{n}{p_ip_j},\ 1 \leq i < j \leq k\\ \lvert A_h \cap A_i \cap A_j \rvert & = \frac{n}{p_hp_ip_j},\ 1 \leq h < i < j \leq k\\ - \phi(n) = \lvert \setcom{A_1} \cap \setcom{A_2} \cap \cdots \cap \setcom{A_k} & = n - \left(\frac{n}{p_1} + \frac{n}{p_2} + \cdots + \frac{n}{p_k}\right)\\ + \phi(n) = \lvert \setcom{A_1} \cap \setcom{A_2} \cap \cdots \cap \setcom{A_k}\rvert & = n - \left(\frac{n}{p_1} + \frac{n}{p_2} + \cdots + \frac{n}{p_k}\right)\\ & \quad + \left(\frac{n}{p_1p_2} + \cdots + \frac{n}{p_{k-1}p_k} + \frac{n}{p_kp_1}\right)\\ & \quad - \cdots \pm \frac{n}{p_1p_2\cdots p_k}\\ & = n\left(1 - \frac{1}{p_1}\right)\left(1 - \frac{1}{p_2}\right)\cdots \left(1 - \frac{1}{p_k}\right)