\documentclass[12pt,titlepage]{article} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsthm} \usepackage{mathtools} \usepackage{graphicx} \usepackage{color} \usepackage{ucs} \usepackage[utf8x]{inputenc} \usepackage{xparse} \usepackage{hyperref} %----Macros---------- % % Unresolved issues: % % \righttoleftarrow % \lefttorightarrow % % \color{} with HTML colorspec % \bgcolor % \array with options (without options, it's equivalent to the matrix environment) % Of the standard HTML named colors, white, black, red, green, blue and yellow % are predefined in the color package. 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\newtheorem{prop}{Proposition} \newtheorem{cor}{Corollary} \newtheorem*{utheorem}{Theorem} \newtheorem*{ulemma}{Lemma} \newtheorem*{uprop}{Proposition} \newtheorem*{ucor}{Corollary} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{example}{Example} \newtheorem*{udefn}{Definition} \newtheorem*{uexample}{Example} \theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{Blog - category theory, databases, and rhizomes} [[!redirects Blog - Category Theory, Databases, and Rhizomes]] This page is a [[Blog articles in progress|blog article in progress]], written by [[Brendan Fong]] and [[William Zeng]]. \hypertarget{contents}{}\section*{{Contents}}\label{contents} \noindent\hyperlink{databases}{Databases}\dotfill \pageref*{databases} \linebreak \noindent\hyperlink{graph_databases}{Graph Databases}\dotfill \pageref*{graph_databases} \linebreak \noindent\hyperlink{categorical_databases}{Categorical Databases}\dotfill \pageref*{categorical_databases} \linebreak \noindent\hyperlink{the_age_of_wire__string}{The Age of Wire \& String}\dotfill \pageref*{the_age_of_wire__string} \linebreak \noindent\hyperlink{rhizis_in_the_world}{Rhizis in the World}\dotfill \pageref*{rhizis_in_the_world} \linebreak \noindent\hyperlink{references}{References}\dotfill \pageref*{references} \linebreak \hypertarget{databases}{}\subsection*{{Databases}}\label{databases} ``We walk the corridors, searching the shelves and rearranging them, looking for lines of meaning amid leagues of cacophony and incoherence, reading the history of the past and of the future, collecting our thoughts and collecting the thoughts of others, and every so often glimpsing mirrors, in which we may recognize creatures of the information.'' - The Library of Babel, Jorges Louis Borges What is a database? \hypertarget{graph_databases}{}\subsection*{{Graph Databases}}\label{graph_databases} Facebook/Google Graph Search Neo4j SPARQL queries \hypertarget{categorical_databases}{}\subsection*{{Categorical Databases}}\label{categorical_databases} David Spivak's ologs \hypertarget{the_age_of_wire__string}{}\subsection*{{The Age of Wire \& String}}\label{the_age_of_wire__string} Here we discuss symmetric monoidal categories, string diagrams, quantomatic and more. \hypertarget{rhizis_in_the_world}{}\subsection*{{Rhizis in the World}}\label{rhizis_in_the_world} Here we discuss real world software that relates to thinking on categorical databases. This includes David Spivaks olog prototypes, the Rhizi Project, and perhaps other graph database projects that have the potential to evolve categorically: Google Graph Search, Facebook Graph Search, etc. \hypertarget{references}{}\subsection*{{References}}\label{references} Add references with a hint where the link links to: \begin{itemize}% \item \href{http://arxiv.org/pdf/1102.1889v2.pdf}{OLOGS: A CATEGORICAL FRAMEWORK FOR KNOWLEDGE REPRESENTATION}, Arxiv \end{itemize} [[!redirects \end{document}