# HG changeset patch # User Eugen Sawin # Date 1335392700 -7200 # Node ID 175252b48ca16aa16585398f3fba27b13ff266c9 # Parent 3095afa54bea2cb3c6b4ba3a218aaee1bbad9ace Added sol 1.2. diff -r 3095afa54bea -r 175252b48ca1 exercises/solutions/sol01.tex --- a/exercises/solutions/sol01.tex Wed Apr 25 17:30:37 2012 +0200 +++ b/exercises/solutions/sol01.tex Thu Apr 26 00:25:00 2012 +0200 @@ -1,4 +1,4 @@ -\documentclass[a4paper, 10pt, pagesize, smallheadings]{article} +\documentclass[a4paper, 10pt, pagesize, smallheadings]{article} \usepackage{graphicx} %\usepackage[latin1]{inputenc} \usepackage{amsmath, amsthm, amssymb} @@ -18,7 +18,7 @@ \begin{document} \maketitle -\section*{Exercise 1.1a} +\section*{Exercise 1.1} \begin{tabular}{|c|c|c||c|c|c||c|c|c|} \hline 5&3&6 &4&7&2 &8&1&9 \\ \hline @@ -32,5 +32,20 @@ 3&1&8 &2&4&5 &7&9&6 \\ \hline 9&4&7 &3&6&1 &2&8&5 \\ \hline 6&5&2 &7&8&9 &3&4&1 \\ \hline -\end{tabular} +\end{tabular} \\\\ +I have applied following strategies to solve the puzzle: +\begin{itemize} + \item look for most contrained blocks, rows and columns + \item look for values with most resolved positions + \item annotate cells with consistent values + \item look for inconsistent connections between cell annotations +\end{itemize} + +\section*{Exercise 1.2} +(a) $R_{x,y} \bowtie S_{y,z} = \{(a,b,a),(a,b,c)\}$\\ +(b) $\sigma_{z=c}(R_{x,y} \bowtie S_{y,z}) = \{(a,b,c)\}$\\ +(c) $\pi_x(R_{x,y}) = \{(a)\}$\\ +(d) $R_{x,y} \circ S_{y,z} = \{(b,b)\}$\\ + + \end{document}