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| author | Elizabeth Alexander Hunt <me@liz.coffee> | 2026-07-02 11:55:17 -0700 |
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| committer | Elizabeth Alexander Hunt <me@liz.coffee> | 2026-07-02 11:55:17 -0700 |
| commit | 6bf4b90c90f15f4ab60833bddf5b5756d1a6b1f6 (patch) | |
| tree | ed97e39ec77c5231ffd2c394493e68d00ddac5a4 /Homework/cs5000/hw01/CS5000_F23_HW1.tex | |
| download | misc-undergrad-main.tar.gz misc-undergrad-main.zip | |
Diffstat (limited to 'Homework/cs5000/hw01/CS5000_F23_HW1.tex')
| -rw-r--r-- | Homework/cs5000/hw01/CS5000_F23_HW1.tex | 96 |
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diff --git a/Homework/cs5000/hw01/CS5000_F23_HW1.tex b/Homework/cs5000/hw01/CS5000_F23_HW1.tex new file mode 100644 index 0000000..42eac8b --- /dev/null +++ b/Homework/cs5000/hw01/CS5000_F23_HW1.tex @@ -0,0 +1,96 @@ +% Created 2023-09-15 Fri 20:36 +% Intended LaTeX compiler: pdflatex +\documentclass[11pt]{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{graphicx} +\usepackage{longtable} +\usepackage{wrapfig} +\usepackage{rotating} +\usepackage[normalem]{ulem} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{capt-of} +\usepackage{hyperref} +\notindent \notag \usepackage{amsmath} \usepackage[a4paper,margin=1in,landscape]{geometry} +\author{Elizabeth Hunt} +\date{\today} +\title{HW 01} +\hypersetup{ + pdfauthor={Elizabeth Hunt}, + pdftitle={HW 01}, + pdfkeywords={}, + pdfsubject={}, + pdfcreator={Emacs 28.2 (Org mode 9.7-pre)}, + pdflang={English}} +\begin{document} + +\maketitle +\setlength\parindent{0pt} + +\section{Question One} +\label{sec:org0490f98} +\begin{center} +\includegraphics[width=400px]{./img/line_robor.png} +\end{center} + +\(Q\) = \{ readsensors, turnleft, moveforward, turnright \} + +\(\Sigma\) = \{ white, blackonleft, leftturncomplete, blackonmiddle, movecomplete, +blackonright, rightturncomplete \} + +\(\delta(p_0, a) = p_0\) +\(\delta(p_0, b) = p_1\) +\(\delta(p_0, d) = p_2\) +\(\delta(p_0, f) = p_3\) +\(\delta(p_1, c) = p_0\) +\(\delta(p_2, e) = p_0\) +\(\delta(p_3, g) = p_0\) + +\(F = \emptyset\) + +\section{Question Two} +\label{sec:orgdb1d9e7} +\begin{center} +\includegraphics[width=400px]{./img/blob_robor.png} +\end{center} + + +\(Q\) = \{ readsensors, turnleft, moveforward, turnright \} + +\(\Sigma\) = \{ white, obstacleleft, leftturncomplete, obstacleboth, movecomplete, +obstacleright, rightturncomplete \} + +\(\delta(p_0, a) = p_0\) +\(\delta(p_0, b) = p_1\) +\(\delta(p_0, d) = p_2\) +\(\delta(p_0, f) = p_3\) +\(\delta(p_1, c) = p_0\) +\(\delta(p_2, e) = p_0\) +\(\delta(p_3, g) = p_0\) + +\(F = \emptyset\) + +\section{Question Three} +\label{sec:orgf7c103c} +\begin{center} +\includegraphics[width=400px]{./img/sus_man.png} +\end{center} + +Thus a robot could take \texttt{puton(C, T)}, \texttt{puton(B, C)}, and finally \texttt{puton(A, B)}. + +\section{Question Four} +\label{sec:org54c6f53} +\begin{center} +\begin{tabular}{llrr} +State & 0 & 1 & 2\\[0pt] +q\textsubscript{0} & \{ q\textsubscript{0}, q\textsubscript{1}, q\textsubscript{2}\} & & \\[0pt] +q\textsubscript{1} & & \{q\textsubscript{1}, q\textsubscript{2}\} & \\[0pt] +q\textsubscript{2} & & & \{q\textsubscript{2}\}\\[0pt] +\end{tabular} +\end{center} + +\begin{center} +\includegraphics[width=200px]{./img/no_epsilon.png} +\end{center} +\end{document}
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