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[TI] Add title pages

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Janis Hutz
2025-12-31 11:24:16 +01:00
parent a9805c198c
commit bb03c9597d
5 changed files with 90 additions and 20 deletions
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semester3/ti/compact/ti-compact.pdf
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53
semester3/ti/compact/ti-compact.tex
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@@ -17,24 +17,59 @@
\startDocument
\usetcolorboxes
\vspace{2cm}
\begin{Huge}
\begin{center}
TITLE PAGE COMING SOON
\end{center}
\end{Huge}
\vspace{1cm}
\begin{center}
\begin{tikzpicture}[node distance = 1cm and 2cm, >={Stealth[round]}]
\node[state, initial left, accepting] (q0p0) {$q_0, p_0$};
\node[state] (q0p1) [right=of q0p0] {$q_0, p_1$};
\node[state] (q0p2) [right=of q0p1] {$q_0, p_2$};
\node[state, accepting] (q1p0) [below=of q0p0] {$q_1, p_0$};
\node[state] (q1p1) [right=of q1p0] {$q_1, p_1$};
\node[state] (q1p2) [right=of q1p1] {$q_1, p_2$};
\node[state, accepting] (q2p0) [below=of q1p0] {$q_2, p_0$};
\node[state, accepting] (q2p1) [right=of q2p0] {$q_2, p_1$};
\node[state, accepting] (q2p2) [right=of q2p1] {$q_2, p_2$};
\path[->]
% Level 0
(q0p0) edge node [above] {a} (q0p1)
(q0p1) edge node [above] {a} (q0p2)
(q0p2) edge [bend right] node [above] {a} (q0p0)
% Level 0 to level 1
(q0p0) edge node [right] {b} (q1p0)
(q0p1) edge node [right] {b} (q1p1)
(q0p2) edge node [right] {b} (q1p2)
% Level 1 to level 2
(q1p0) edge node [above] {a} (q2p1)
(q1p1) edge node [above] {a} (q2p2)
(q1p2) edge node [right, xshift=0.3cm] {a} (q2p0)
% Level 2 to level 1
(q2p0) edge node [right] {b} (q1p0)
(q2p1) edge node [above left, yshift=0.1cm] {b} (q1p1)
(q2p2) edge node [right] {b} (q1p2)
% Level 2
(q2p0) edge node [above] {a} (q2p1)
(q2p1) edge node [above] {a} (q2p2)
(q2p2) edge [bend left] node [below] {a} (q2p0)
% ────────────────────────────────────────────────────────────────────
% Loops on level 1
(q1p0) edge [loop left] node {b} ()
(q1p1) edge [loop left] node {b} ()
(q1p2) edge [loop left] node {b} ();
\end{tikzpicture}
\end{center}
\vspace{4cm}
\vspace{2.5cm}
\begin{center}
\begin{Large}
``\textit{Sie können also alle C Programme in Kanonischer Ordnung aufzählen. Sollten Sie dies tun. Wahrscheinlich nicht. Was aber zählt ist, sie \textbf{können} es tun}''
``\textit{Sie können also alle C Programme in Kanonischer Ordnung aufzählen. Sollten Sie dies tun? Wahrscheinlich nicht. Was aber zählt ist, sie \textbf{können} es tun}''
\end{Large}
\hspace{3cm} - Prof. Dr. Dennis Komm, 2025
\end{center}
\vspace{3cm}
\vspace{2cm}
\begin{center}
HS2025, ETHZ\\[0.2cm]
\begin{Large}

2
semester3/ti/main/parts/combinatorics.tex
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@@ -2,6 +2,8 @@
\section{Combinatorics}
\label{sec:combinatorics}
\subsection{Introduction}
Please note: This section was not part of the book and is written in very simple terms (it is taken from a summary I wrote 4 years ago during Gymnasium)
Combinatorics was developed from the willingness of humans to gamble and the fact that everybody wanted to win as much money as possible.
\subsection{Simple counting operations}

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semester3/ti/main/ti-summary.pdf
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55
semester3/ti/main/ti-summary.tex
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@@ -12,25 +12,58 @@
\newcommand{\lempty}{L_{\text{empty}}}
\renewcommand{\tc}{\text{Time}}
\newcommand{\spc}{\text{Space}}
\usetikzlibrary{automata, positioning, arrows.meta}
\begin{document}
\startDocument
\usetcolorboxes
\vspace{2cm}
\begin{Huge}
\begin{center}
TITLE PAGE COMING SOON
\end{center}
\end{Huge}
\vspace{1cm}
\begin{center}
\begin{tikzpicture}[node distance = 1cm and 2cm, >={Stealth[round]}]
\node[state, initial left, accepting] (q0p0) {$q_0, p_0$};
\node[state] (q0p1) [right=of q0p0] {$q_0, p_1$};
\node[state] (q0p2) [right=of q0p1] {$q_0, p_2$};
\node[state, accepting] (q1p0) [below=of q0p0] {$q_1, p_0$};
\node[state] (q1p1) [right=of q1p0] {$q_1, p_1$};
\node[state] (q1p2) [right=of q1p1] {$q_1, p_2$};
\node[state, accepting] (q2p0) [below=of q1p0] {$q_2, p_0$};
\node[state, accepting] (q2p1) [right=of q2p0] {$q_2, p_1$};
\node[state, accepting] (q2p2) [right=of q2p1] {$q_2, p_2$};
\path[->]
% Level 0
(q0p0) edge node [above] {a} (q0p1)
(q0p1) edge node [above] {a} (q0p2)
(q0p2) edge [bend right] node [above] {a} (q0p0)
% Level 0 to level 1
(q0p0) edge node [right] {b} (q1p0)
(q0p1) edge node [right] {b} (q1p1)
(q0p2) edge node [right] {b} (q1p2)
% Level 1 to level 2
(q1p0) edge node [above] {a} (q2p1)
(q1p1) edge node [above] {a} (q2p2)
(q1p2) edge node [right, xshift=0.3cm] {a} (q2p0)
% Level 2 to level 1
(q2p0) edge node [right] {b} (q1p0)
(q2p1) edge node [above left, yshift=0.1cm] {b} (q1p1)
(q2p2) edge node [right] {b} (q1p2)
% Level 2
(q2p0) edge node [above] {a} (q2p1)
(q2p1) edge node [above] {a} (q2p2)
(q2p2) edge [bend left] node [below] {a} (q2p0)
% ────────────────────────────────────────────────────────────────────
% Loops on level 1
(q1p0) edge [loop left] node {b} ()
(q1p1) edge [loop left] node {b} ()
(q1p2) edge [loop left] node {b} ();
\end{tikzpicture}
\end{center}
\vspace{4cm}
\vspace{3cm}
\begin{center}
\begin{Large}
``\textit{Wenn Sie die Turing-Maschine als Touring-Maschine in der Prüfung schreiben, dann macht mich das sehr traurig. Ich seh das jeweils. Teilweise sind das sehr elaborierte Trolle, manchmal Leute die nie in die Vorlesungen kommen} (2025-10-14T08:51Z+02:00``)
``\textit{Sie können also alle C Programme in Kanonischer Ordnung aufzählen. Sollten Sie dies tun. Wahrscheinlich nicht. Was aber zählt ist, sie \textbf{können} es tun}''
``\textit{Sie können also alle C Programme in Kanonischer Ordnung aufzählen. Sollten Sie dies tun? Wahrscheinlich nicht. Was aber zählt ist, sie \textbf{können} es tun}''
\end{Large}
\hspace{3cm} - Prof. Dr. Dennis Komm, 2025
@@ -52,7 +85,7 @@
\begin{scriptsize}
\begin{itemize}
\item \textit{Note: Definitions, Lemmas, etc are often 1:1 copies from the book or paraphrased (as I did not find an easier way of stating them)}
\item \textit{Note: In case I forgot to add the PDF page numbers, you can take the PDF page number is given by $P_{\text{PDF}} = P_{\text{Book}} + 15$}
\item \textit{Note: In case I forgot to add the PDF page numbers, the PDF page number is given by $P_{\text{PDF}} = P_{\text{Book}} + 15$}
\end{itemize}
\end{scriptsize}