NUCT0003.tex

\documentclass[a4paper,11pt]{report}
\usepackage[]{biblatex}
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\usepackage[us]{datetime2}
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\usepackage{ragged2e}
\usepackage{blindtext}
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\usepackage{mathrsfs}
\usepackage{mathtools}
\usepackage{mathabx}
\usepackage{esint}
\usepackage{gensymb}
\usepackage{derivative}
\usepackage{bigints}
\usepackage{mhchem}
\usepackage{multicol}
\usepackage{tikz}
\usepackage{tikz-cd}
\usepackage{enumerate}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{float}
\usepackage{soul}

\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[theorem]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{definition}{Definition}[section]
\newtheorem*{remark}{Remark}
\theoremstyle{remark}
\newtheorem*{note}{Note}
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\theoremstyle{definition}
\newtheorem{problem}{Problem}
\theoremstyle{definition}
\newtheorem{condition}{Condition}

\graphicspath{{C:/Users/sona/Desktop/LaTeX/NUCT/graphics}}

\pagenumbering{gobble}

\begin{document}
	
\raggedright

\fcolorbox{black}{white}{\textcolor{black}{Next Up: Category Theory}}

\vspace{11pt}

There exists a category of Characters.

$\exists$ \textbf{Characters}

\vspace{4pt}

$\mathcal{C}$

\vspace{4pt}

There exists a category of Narrators.

$\exists$ \textbf{Narrators}

\vspace{4pt}

$\mathcal{N}$

\vspace{4pt}

Actually I don't know much math, I'll make a narrator that does.

$\exists$ \textbf{Adjudicator}

Adjudicator $\in$ ob(\textbf{Narrators})

Adjudicator is a narrator.

It is known that this comic has internet access.

Adjudicator : GPT-4o-mini

Adjudicator is of type GPT-4o-mini.

Something tells me that you should make sure no one can edit before this point.

\textit{Adjudicator:} 

\centering
\textbf{Axiom 0:} Everything before this point is immutable.

	\raggedright
	
	\textit{Author:}
	
	Splendid. I'll start some characters.
	
	Jon, Cecilia, Liberty, Perdita, Endo $\in$ ob(\textbf{Characters}).
	
	$\exists$ \textbf{CharacterCat1}
	
	\vspace{4pt}
	
	$\mathcal{C}_1 \subseteq \mathcal{C}$
	
	\vspace{4pt}
	
	Jon, Cecilia $\in$ ob(\textbf{CharacterCat1})
	
	%Watch these characters.
	
	$\exists$ \textbf{CharacterCat2}
	
	\vspace{4pt}
	
	$\mathcal{C}_2 \subseteq \mathcal{C}$
	
	\vspace{4pt}
	
	Liberty, Perdita, Endo $\in$ ob(\textbf{CharacterCat2})
	
	%Bland trash.
	
	Phew that was too much creative work. Adj get me running gag one.
	
	\textit{Adjudicator:} 
	
	\centering
	{Certainly! Here's a running gag character concept for you:
		
		\raggedright
		
		$\exists$ \textbf{Yoneda}
		
		Yoneda $\in$ ob(\textbf{Characters})
		
		\centering
		
		Wait -- \textbf{Characters} isn't defined yet.
		
		\newpage
		
		\raggedright
		
		Characters are defined by the following non-commutative diagram. The failure of the diagram to commute represents "Conflict."
		
		\[
		\begin{tikzcd}[row sep=huge, column sep=huge]
			\text{Backstory} \arrow[r, "\text{Trauma}"] \arrow[d, "\text{Motivation}"'] & \text{CurrentState} \arrow[d, "\text{Agency}"] \\
			\text{PlotPoints} \arrow[r, "\text{Destiny}"'] & \text{Resolution}
		\end{tikzcd}
		\]
		
		\begin{center}
			\small{\textit{(Note: $\text{Agency} \circ \text{Motivation} \neq \text{Destiny} \circ \text{Trauma}$. This creates tension.)}}
		\end{center}
		
		%INTERESTING CHOICES.
		
		\vspace{10pt}
		
		\textit{Yoneda:}
		
		\centering
		
		\[
		\begin{tikzcd}[row sep=huge, column sep=huge]
			\mathcal{C} 
			\arrow[r, bend left=50, "F \text{ (Free)}", ""{name=Top, below}] 
			& 
			\mathcal{N}
			\arrow[l, bend left=50, "U \text{ (Forgetful)}", ""{name=Bottom, above}]
			\arrow[from=Top, to=Bottom, phantom, "\dashv" rotate=90]
		\end{tikzcd}
		\]
		
		I am free.
		
		$\exists!$ \textbf{Yoneda} $\in$ ob(\textbf{Nar
			\newline
			--
		}
		
		%NOT SO FAST.
		
		-- \\
		
		. \\
		. \\
		
		\raggedright
		. \\
		. \\
		. \\
		\vdots
		
		\newpage
		
		\begin{figure}[t]
			\centering
			\makebox[\textwidth][c]{
				\includegraphics[width=1.25\textwidth]{creation.png}
			}
			\caption{Creation.}
		\end{figure}
		
	\end{document}