From 776ca87bfe74083b5aa932790e086374401cc377 Mon Sep 17 00:00:00 2001
From: Konstantin Chukharev <lipen00@gmail.com>
Date: Wed, 8 Nov 2023 11:10:52 +0300
Subject: [PATCH] Reorder subtasks

Move subtask with concrete example to the end, because the subtasks with proofs are to be done _in general_, not only for this example.
---
 hw2.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/hw2.tex b/hw2.tex
index 80ebc07..126cadd 100644
--- a/hw2.tex
+++ b/hw2.tex
@@ -121,9 +121,9 @@
     \item Let $R_{\theta}$ be a relation of $\theta$-similarity (clearly, $\theta \in [0; 1] \subseteq \Real$) of finite non-empty sets defined as follows: a set~$A$ is said to be \textit{$\theta$-similar} to~$B$ \textit{iff} the Jaccard index $\Jac(A,B) = \frac{\card{A \intersection B}}{\card{A \union B}}$ for these sets is at least~$\theta$, \ie $\Pair{A, B} \in R_{\theta} \iff \Jac(A,B) \geq \theta$.
 
     \begin{subtasks}
-        \item Draw the graph of a relation $R_{\theta} \subseteq \Set{A_i}^2$, where $\theta = 0.25$, $A_1 = \Set{1,2,5,6}$, $A_2 = \Set{2,3,4,5,7,9}$, $A_3 = \Set{1,4,5,6}$, $A_4 = \Set{3,7,9}$, $A_5 = \Set{1,5,6,8,9}$.
         \item Determine whether $\theta$-similarity is a tolerance relation.
         \item Determine whether $\theta$-similarity is an equivalence relation.
+        \item Draw the graph of a relation $R_{\theta} \subseteq \Set{A_i}^2$, where $\theta = 0.25$, $A_1 = \Set{1,2,5,6}$, $A_2 = \Set{2,3,4,5,7,9}$, $A_3 = \Set{1,4,5,6}$, $A_4 = \Set{3,7,9}$, $A_5 = \Set{1,5,6,8,9}$.
     \end{subtasks}