diff --git a/beamers/networksAndValue/.DS_Store b/beamers/networksAndValue/.DS_Store new file mode 100644 index 0000000..2974896 Binary files /dev/null and b/beamers/networksAndValue/.DS_Store differ diff --git a/beamers/networksAndValue/README.md b/beamers/networksAndValue/README.md new file mode 100644 index 0000000..4489b23 --- /dev/null +++ b/beamers/networksAndValue/README.md @@ -0,0 +1,5 @@ +# When do networks create value? — README + +This folder contains the beamers for the two sessions on 'networks and value'. +Session #3 regards 'bonding ties and centrality'; session #3 regards 'bridging +ties' and centrality. diff --git a/beamers/networksAndValue/bibliography.bib b/beamers/networksAndValue/bibliography.bib new file mode 100644 index 0000000..19d40f3 --- /dev/null +++ b/beamers/networksAndValue/bibliography.bib @@ -0,0 +1,42 @@ +@book{scott2011, + title={The SAGE Handbook of Social Network Analysis}, + author={Scott, John and Carrington, Peter J}, + year={2011}, + publisher={SAGE publications} +} + +@book{scott2011, + title={The SAGE Handbook of Social Network Analysis}, + author={Scott, John and Carrington, Peter J}, + year={2011}, + publisher={SAGE publications} +} + +@article{steger1999, + title={Generating Random Regular Graphs Quickly}, + author={Steger, Angelika and Wormald, Nicholas C}, + journal={Combinatorics, Probability and Computing}, + volume={8}, + number={4}, + pages={377--396}, + year={1999}, + publisher={Cambridge University Press} +} + +@article{watts1998, + title={Collective Dynamics of `Small-World' Networks}, + author={Watts, Duncan J and Strogatz, Steven H}, + journal={nature}, + volume={393}, + number={6684}, + pages={440--442}, + year={1998}, + publisher={Nature Publishing Group} +} + +@book{burt2007, + title={Brokerage and Closure: An Introduction to Social Capital}, + author={Burt, Ronald S}, + year={2007}, + publisher={OUP Oxford} +} diff --git a/beamers/networksAndValue/bmr.aux b/beamers/networksAndValue/bmr.aux new 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================================ Symbols ============================== +%\usepackage{bbding} +%\usepackage{pifont} +%\usepackage{wasysym} +%\usepackage{amssymb} + +% ========================= Theme ========================================= +\usetheme{Berkeley} +\usecolortheme{spruce} +% \setbeamercolor{itemize item}{fg=comp_c,bg=white} +% \setbeamercolor{enumerate item}{fg=comp_c,bg=white} + +% ========================= Essential packages ============================ +% \usepackage{hyperref} +% \hypersetup{ +% colorlinks = false, +% linkcolor = comp_c, +% citecolor = tri_1, +% filecolor = tri_2, +% urlcolor = yellow +% } + +% ========================= Frame notes systm ============================ +%\usepackage{pgfpages} +%\setbeameroption{show notes on second screen} + +% ========================= Plotting ====================================== +\usepackage{calc} +\usepackage{tikz} +\usetikzlibrary{arrows, + arrows.meta, + calc, + chains, + quotes, + positioning, + shapes, + topaths, + shapes.geometric} +\usepackage{graphicx} +\usepackage{graphics} +\usepackage{pgfplots} +\pgfplotsset{width=7cm,compat=1.17} +\usepackage{venndiagram} +% tikz exhibits +\usepackage{tikz} +\usetikzlibrary{shapes,arrows,fit,calc,positioning} +\tikzstyle{box} = [draw, rectangle, rounded corners, thick, node distance=7em, text width=6em, text centered, minimum height=3.5em] +\tikzstyle{container} = [draw, rectangle, dashed, inner sep=2em] +\tikzstyle{lineSq} = [draw, thick, -latex'] +\tikzset{ + %Define standard arrow tip + >=stealth', + %Define style for boxes + punkt/.style={ + rectangle, + rounded corners, + draw=black, thick, + text width=8em, + minimum height=3em, + text centered}, + punkbig/.style={ + rectangle, + rounded corners, + draw=black, thick, + text width=5em, + minimum height=5em, + text centered}, + punkb/.style={ + rectangle, + rounded corners, + %draw=black, thick, + text width=8em, + minimum height=3em, + text centered}, + punkc/.style={ + circle, + rounded corners, + draw=black, thick, + text width=1.5em, + minimum height=1.5em, + text centered}, + % Define arrow style + pil/.style={ + ->, + thick, + shorten <=2pt, + shorten >=2pt,} +} + +% ============================= Network viz =============================== +\usepackage{tikz-network} + +%% ============================== Tabular ================================= +\usepackage{booktabs} +\usepackage{tabularx,ragged2e} +\usepackage{array} +\usepackage{multirow} +\usepackage{siunitx} + \sisetup{detect-all} +\usepackage{adjustbox} +\usepackage{rotating} +\usepackage{threeparttable} +\usepackage[justification=centering]{caption} + +%% ========================== Coding snippets ============================= +% Default fixed font does not support bold face +%\usepackage{minted} +%\usemintedstyle{vs} + +%% ============================= Math ===================================== +\usepackage{mathtools} + +% ========================= Infor on authors ============================== +\title[Networks and Value Creation] +{When Do Networks Create Value?} +\subtitle{Bonding Social Capital and Centrality} +\author{S.~Santoni\inst{1}\inst{2}} +\institute{ + \inst{1}% + Bayes Business School + } +\date{MSc in Business Analytics, 2024/25} + +% ========================= TOC ========================================== +\AtBeginSection[] +{ + \begin{frame} + \frametitle{Outline} + \tableofcontents[currentsection,currentsubsection] + \end{frame} +} + +% ========================= References =================================== +\usepackage[style=numeric,backend=biber]{biblatex} +\addbibresource{bibliography.bib} + +% =========================== TOC ========================================= +\AtBeginSubsection[] +{ + \begin{frame} + \frametitle{Outline} + \tableofcontents[currentsection,currentsubsection] + \end{frame} +} + +% ========================= Document ==================================== +\begin{document} + +\begin{frame} + \titlepage +\end{frame} + +\begin{frame}{Outline} + \tableofcontents +\end{frame} + +% =========================== Session 2 wrapup ============================= +\section{Session 2 Wrap Up} + +\begin{frame} +\tikzstyle{block} = [ + rectangle, + draw, + text width=8em, + text centered, + rounded corners, + minimum height=2em + ] +\tikzstyle{arrow} = [ + draw, + -latex', + rounded corners + ] +\tikzstyle{line} = [ + draw + ] +\tikzstyle{invisible4} = [ + rectangle + ] +\tikzstyle{invisible5} = [ + rectangle + ] + \frametitle{Where Does a Network Analytics Project Stand?} + \begin{figure} + \begin{tikzpicture}[ + thick, + set/.style = {circle, minimum size = 3cm, opacity=0.3}, + auto, + ->, + ] + \node[set,label={[text=base_c]175:Network Theory}, fill=base_c] (A) at (0,0) {}; + \node[set,label={[text=tri_1]5:Network Data}, fill=tri_1] (B) at (1.8,0) {}; + \node[set,label={[text=tri_2]Business Problem}, fill=tri_2] (C) at (0.9,1.5) {}; + % circles + \draw (0,0) circle(1.5cm); + \draw (1.8,0) circle(1.5cm); + \draw (0.9,1.5) circle(1.5cm); + % notes + \node[,label={[text=black]NA Space}] (i2) at (4,1.5) {}; + \node[] (p2) at (0.75,0.49) {}; + % edges + \path[] + (3,1.8) edge[bend right=0] node [] {} (p2.east) + ; + \end{tikzpicture} + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{Real World Problem Statements I Worked With} + \begin{quote} + ``Our data say employees have not come up with + fresh ideas for quite a while. We need to find out.'' + \end{quote} + \raggedleft --- The innovation platform manager of a global public utility. + + \vspace{1em} + + \begin{quote} + ``The people in the [R\&D] department do not part-take in + the decision making process regarding the selection + of the future projects. Shall they?'' + \end{quote} + \raggedleft --- The Head of Reserch of a big pharma company. + \vspace{1em} + + \begin{quote} + ``Engineers want more autonomy in forming a new product + development team. What are the pros and cons?'' + \end{quote} + \raggedleft --- The CTO of a global semiconductor company. +\end{frame} + +\begin{frame} + \frametitle{Mapping Business Problems on Objective Functions and Domains} + \begin{table} + \begin{small} + \begin{center} + \begin{tabular}[c]{ + p{3cm}|p{2.1cm}|p{2.1cm}|p{2.1cm}|p{2.1cm} + } + %\hline + \multicolumn{1}{c}{\textbf{}} + & \multicolumn{4}{c}{\textbf{Domain}}\\ + \hline + \textbf{Objective function} + &\multicolumn{1}{c|}{\textbf{Employee}} + &\multicolumn{1}{c|}{\textbf{Project}} + &\multicolumn{1}{c|}{\textbf{Organization}} + &\multicolumn{1}{c}{\textbf{Inter-orgs}}\\ + \hline + Creativity\dotfill& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + & + \\ + % \cline{2-5} + Knowledge sharing\dotfill& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + & + \\ + % \cline{2-5} + Task performance\dotfill& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + & + \\ + Coordination\dotfill& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}\\ + % \cline{2-5} + Innovation\dotfill& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}& + \cellcolor{white!25}\multicolumn{1}{c}{\bullet}\\ + % \cline{2-5} + Econ performance\dotfill& + & + &\cellcolor{white!25}\multicolumn{1}{c}{\bullet} + & + \\ + % \hline + \end{tabular} + \end{center} + \end{small} + \end{table} + \textit{Notes.} --- The table shows common associations between business problems' + objective functions (what clients want to achieve in essence) + and domains (the level at which the problem should be addressed). Dots + denote the existence of common associations. +\end{frame} + +\begin{frame} + \frametitle{Forms of Networks} + It is socially accepted to distinguish networks between + + \begin{itemize} + \item + Directed Vs undirected + \item + Weighted Vs unweighted + \item + One Vs two-mode + \end{itemize} + + \vspace{1em} + + \begin{tcolorbox}[ + colback=comp_c!5!white, + colframe=comp_c!90!black, + title={\centering !! Pay attention !!}] + These categories are not mutually exclusive. E.g., a network can be + both directed and weighted. + \end{tcolorbox} + +\end{frame} + +\begin{frame} + \frametitle{The Goals of Network Theory} + Mainly, network theory aims to explain + \begin{enumerate} + \item Why some nodes or groups achieve more (the + social capital tradition) + \item Why some nodes or networks are more similar to + each other (the social homogeneity tradition) + \end{enumerate} +\end{frame} + +\begin{frame} + \frametitle{Network Theory's Network Views} + + Network theories mirror two different views of networks + + \begin{itemize} + \item The first view --- known as the `network flow model' + --- emphasizes the information, resources, or artefacts + that flow through the network and possibly accrue to + the individual nodes + \begin{itemize} + \item \textit{Sample proposition}: central nodes have an information advantage + over peripheral ones + \end{itemize} + \item The second view --- known as the `network architecture + model' --- highlights the connection between network structure + and individual or organizational outcomes + \begin{itemize} + \item \textit{Sample proposition}: decentralized organizational + structures are more suited in high-tech industries than + low-tech companies + \end{itemize} + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Groups of Network Theories} + \centering + \small + \begin{table} + \begin{center} + \begin{tabular}[c]{l|l|l} + % \hline + \textbf{Underlying model} & + \textbf{Social capital} & + \textbf{Social homogeneity}\\ + \hline + \textbf{Network flow} & Capitalization (value creation) & Contagion \\ + \hline + \textbf{Network architecture} & Coordination & Adaptation (network change)\\ + % \hline + \end{tabular} + \end{center} + \end{table} + + \vspace{1em} + + \raggedright \small Source is~\cite[][page 47]{scott2011} +\end{frame} + +% =========================== Session 3 =================================== +\section{When Do Networks Create Value?} + +\begin{frame} + \frametitle{Groups of Network Theories} + \centering + \small + \begin{table} + \begin{center} + \begin{tabular}[c]{l|l|l} + % \hline + \textbf{Underlying model} & + \textbf{Social capital} & + \textbf{Social homogeneity}\\ + \hline + \textbf{Network flow} & \cellcolor{blue!20}{\color{black}{Capitalization (value creation)}} & Contagion \\ + \hline + \textbf{Network architecture} & Coordination & Adaptation (network change)\\ + % \hline + \end{tabular} + \end{center} + \end{table} + + \vspace{1em} + + \raggedright \small Source is~\cite[][page 47]{scott2011} +\end{frame} + +\begin{frame} + \frametitle{The Leading Question} + \begin{center} + \Large When do networks create value? + \end{center} +\end{frame} + +\begin{frame}{Theories on Networks and Value Creation} +\begin{columns} + \begin{column}{0.5\textwidth} + Mainly, the various theories on the influence of networks on value + creation can be grouped into two categories: + + \vspace{1em} + + \begin{itemize} + \item \textbf{Bridging} social capital theories, whose key + tenet is that sparse networks bring value to + individuals and groups by facilitating fresh courses + of action and new ideas --- a process called + \textbf{network brokerage} + \item \textbf{Bonding} social capital theories, whose key + tenet is that dense networks bring value to + individuals and groups by fostering cooperation and trust + --- a process called \textbf{network closure} + \end{itemize} + \end{column} + \begin{column}{0.5\textwidth} + \centering + \includegraphics[width=0.75\textwidth]{images/brokerage_and_closure.jpeg} + \end{column} +\end{columns} +\end{frame} + +% =========================== Bonding Social Capital ======================= +\section{Bonding Social Capital and Value Creation} + +\begin{frame}{Section Focus} +\begin{columns}[c] + \begin{column}{0.5\textwidth} + \Large The attention revolves around the topic of \textcolor{base_c}{ + bonding social capital} and the \textcolor{comp_c}{closure + mechanism} + \end{column} + \begin{column}{0.5\textwidth} + \begin{tikzpicture}[transform shape] + \foreach \x in {1,...,16}{% + \pgfmathparse{(\x-1)*45+floor(\x/9)*22.5} + \node[draw,circle,inner sep=0.25cm] (N-\x) at (\pgfmathresult:5.4cm) {}; + } + \foreach \x [count=\xi from 1] in {2,...,16}{% + \foreach \y in {\x,...,16}{% + \path (N-\xi) edge[-,bend right=3] (N-\y) edge[-,bend left=3] (N-\y); + } + } + \end{tikzpicture} + \end{column} +\end{columns} +\end{frame} + +\begin{frame}{What is Network Density?} + \begin{tcolorbox}[ + colback=tri_2!5!white, + colframe=tri_2!90!black, + title={\centering \Large $\sim$ Definition 1 --- Density $\sim$}] + \large The tendency of a network to present direct ties between + pairs of nodes. + \end{tcolorbox} +\end{frame} + +\begin{frame}{Two Networks with Different Levels of Density} + \begin{columns}[t] + \begin{column}{0.5\textwidth} + \begin{center} + \textbf{A sparse network} + \begin{figure} + \input{images/sparse_graph.pgf} + \end{figure} + \end{center} + \end{column} + \begin{column}{0.5\textwidth} + \begin{center} + \textbf{A dense network} + \begin{figure} + \input{images/dense_graph.pgf} + \end{figure} + \end{center} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{What Is the Outcome of Dense Networks?} + \begin{figure} + \resizebox{0.85\textwidth}{!}{ + \begin{tikzpicture}[node distance=1cm, auto,] % no additional information + \node[](d){}; + \node[punkt,left=2cm of d](dn){Network density}; + \node[punkt, label={[align=right]}, right=2cm of d](bsc){Bonding\\social capital} + edge[pil, <-, bend left=0](dn.east); + \node[above=0.15cm of d](edge_label){\textcolor{blue}{\textit{fosters}}}; + \node[below=0.15cm of d](d0){}; + \node[right=3.35cm of d0](d1){}; + \node[right=0.001cm of d1](d2){}; + \node[right=0.001cm of d2](d3){}; + \node[below=-0.2cm of dn](d5){}; + \node[right=0.001cm of d5](d4){}; + \node[left=0.001cm of d5](d6){}; + \pause + \node[punkt, below=0.65cm of d](info_sharing){Information sharing} + edge[pil, <-, bend left=30](d4) + edge[pil, ->, bend right=30] (d1.south); + \pause + \node[below=-0.2cm of info_sharing](info_sharing_1){} + edge[pil, ->](cooperation.north); + \pause + \node[punkt, below=0.65cm of info_sharing](cooperation){Cooperation} + edge[pil, <-, bend left=30](d5) + edge[pil, ->, bend right=30] (d2.south); + \pause + \node[below=-0.2cm of cooperation](cooperation_1){} + edge[pil, ->](trust.north); + \pause + \node[punkt, below=0.65cm of cooperation](trust){Trust} + edge[pil, <-, bend left=30](d6) + edge[pil, ->, bend right=30] (d3.south); + % \node[left=3cm of novelty](d1){}; + % %edge[pil, bend left=20](novelty.north); + % \node[punkt,blue, below=1.5cm of d1](structure){Social structure of collaboration} + % edge[pil, bend right=20](novelty.south); + % \node[punkt,blue,below=5cm of d1](employment){Employment relationships---HR} + % edge[pil,blue,<-, bend left=50](structure.west); + % %edge[pil, bend right=50](structure.east); + % \node[left=5cm of d1](d2){}; + % \node[punkb, below=2cm of d2](mobility){}; + % %edge[pil, bend right=0](novelty.west) + % %edge[pil, <-, bend right=45](employment.west) + % %edge[pil, <-, bend left=40](valuation.west) + % %edge[pil, bend left=60](structure.north); + % %\node[left=2cm of mobility](d3){}; + % \node[punkb, above=1.5cm of d2](jolts){}; + % %edge[pil, bend left=0](valuation.west); + \end{tikzpicture}} + \end{figure} +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Information Sharing} + {A pricing problem: setup} + \begin{small} + Let us consider the following pricing problem: + \begin{itemize} + \item The potential transaction includes a buyer $B$ and a + seller $S$ + \item The market is not regulated and there is no perfect + information on the vector of prices in the market + \item $S$ already produced the good and sustained a unitary + production cost $\delta$ + \item We take the perspective of $S$, which `makes the price' + based on the best available information on the reservation + price of $B$ and competitors' + offering prices $\Phi = \{\phi_{1}, \phi{_2}, ..., \phi_{i}, + ..., \phi_{N}\}$ + \item The pay-off of $S$ is as follows: + \end{itemize} + \[ + \Pi^{S}= + \begin{dcases} + \hat\phi - \delta & \text{if B willing to buy}\\ + -\delta & \text{otherwise}\\ + \end{dcases} + \] + \begin{itemize} + \item + The probability $B$ is willing to buy is expressed as + \end{itemize} + + \begin{equation*} + p = f(\phi) \text{\quad \quad with \quad } 0 \leq p \leq 1 + \end{equation*} + \end{small} +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Information Sharing} + {A pricing problem: the expected pay-off} + Per the previous slide, the expected pay-off for $S$ is + + \begin{equation*} + E(\Pi^{S}) = p * (\phi - \delta) + (1 - p) * (- \delta) + \end{equation*} + + \begin{figure} + \begin{center} + \input{images/expected_profitability.pgf} + \end{center} + \end{figure} + +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Information Sharing} + {What is the fair market price? Scenario A: sparse network} + \centering + \begin{columns} + \begin{column}{0.5\textwidth} + \input{images/expected_profitability.pgf} + \end{column} + \begin{column}{0.45\textwidth} + \input{images/buyer_seller_network.pgf} + \end{column} + \end{columns} +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Information Sharing} + {What is the fair market price? Scenario B: dense network} + \centering + \begin{columns} + \begin{column}{0.5\textwidth} + \input{images/expected_profitability.pgf} + \end{column} + \begin{column}{0.45\textwidth} + \input{images/buyer_seller_network_dense.pgf} + \end{column} + \end{columns} +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Information Sharing} + {How do sellers know about each other private information?} + \begin{figure} + \includegraphics[width=0.8\textwidth]{images/interlock} + \caption*{A portion of the interlocking directorates + network connecting US companies. + \textit{Notes} --- two companies are connected when their at + least a boad. \href{https://sites.google.com/site/occupypoliticsintheusa/interlocking-directorates-the-foundation-of-american-corporatocracy} + {Go to the source.}} + \end{figure} +\end{frame} + +\begin{frame}{Network Density $\rightarrow$ Cooperation}{A simple cooperative game} + Here is the setup + + \begin{itemize} + \item Let us have one seller $s$ serving a market with two + buyers $b1$ and $b2$ + \item Let us also assume that the parties cannot write a + complete contract specifying the characteristics of the good + $s$ sells, say an industrial machinery to produce jam + \end{itemize} +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Cooperation} + {A simple cooperative game} + \centering + \Large Does $s$ behave opportunistically by engaging in moral hazard? + + In other words, does $b$ receive the good with the agreed features? + + \vspace{2em} + + \Large Network theory helps to address this question! +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Cooperation} + {Let us play the cooperative game together} + \begin{columns} + \begin{column}{0.5\textwidth} + \begin{figure} + \begin{center} + \input{images/open_triad.pgf} + \end{center} + \caption*{\textbf{Scenario A}: open triad--- + \\$b1$ and $b2$ do not exchange information} + \end{figure} + \end{column} + \begin{column}{0.5\textwidth} + \begin{figure} + \begin{center} + \input{images/closed_triad.pgf} + \end{center} + \caption*{\textbf{Scenario B}: closed triad--- + \\$b1$ and $b2$ exchange information} + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Cooperation} + {What is the expected pay-off of $s$ in scenario A?} + \footnotesize + \begin{columns}[t] + \begin{column}{0.65\textwidth} + + The expected total pay-off of $s$ is the sum of two independent + expected pay-offs $E(\Pi^{s}) = E(\Pi_{b1}^{s}) + E(\Pi_{b2}^{s}$), + where + + \begin{equation*} + E(\Pi_{b1}^{S}) = E(\Pi_{b2}^{S}) = p * (\phi - \delta) + (1 - p) * (- \delta) + \end{equation*} + + \vspace{1em} + The intuition is that $b2$ does not know if $s$ engages in + moral hazard and delivers a machinery lacking the agreed + features to $b1$. Hence, the willingness to buy of $b2$ is + a function of the price $s$ charges but not of the courses + of actions of $s$ regarding the transaction with $b1$ + + \begin{equation*} + p_{b2} = f(\phi) + \end{equation*} + + \end{column} + \begin{column}{0.3\textwidth} + \footnotesize + \begin{figure} + \resizebox{1\textwidth}{!}{ + \begin{center} + \input{images/open_triad.pgf} + \end{center} + } + \caption*{ + \footnotesize + $b1$ and $b2$ do not exchange information + } + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Cooperation} + {What is the expected pay-off of $s$ in the two scenarios?} + \footnotesize + \begin{columns}[t] + \begin{column}{0.65\textwidth} + + If the transactions between $s$ and $b1$ and $s$ and $b2$ are + not contemporaneous (e.g., the $s-b2$ transaction takes place + after the $s-b1$ transation), the expected total pay-off of + $E(\Pi)^{s}$ depends on the fact that $s$ engages in moral + hazard by not delivering the machinery with all the + features $b1$ expects. Specifically, the willingness + to buy probabilities will differ across buyers: + + \[ + p_{i} = + \begin{dcases} + f(\phi) & \text{if} ~i = b1\\ + f(\phi, \omega) & \text{if} ~i = b2\\ + \end{dcases} + \] + + where $\phi$ is the price of the good and + $\omega$ is the extent of moral hazard of $s$ + in the $s - b1$ transaction (the more the machinery + deviates from $b1$'s expectations, the larger $\omega$). + For example the willingness to buy of $b1$ may be + modelled as $p_{b1} = \frac{1}{\phi}$ (with $\phi\geq 1$). + Instead, $b2$'s willingness to buy may be modelled as + $p_{b2} = \frac{1}{\phi} * \frac{1}{\omega}$ (with + $\phi\geq 1$ and $\omega\geq 1$). + + \end{column} + \begin{column}{0.35\textwidth} + \begin{figure} + \resizebox{1\textwidth}{!}{ + \begin{center} + \input{images/closed_triad.pgf} + \end{center} + } + \caption*{ + \footnotesize + $b1$ and $b2$ exchange information + } + \end{figure} + \end{column} + \end{columns} +\end{frame} + +\begin{frame} + {Network Density $\rightarrow$ Trust} + {Why do we trust `places' as well as `businesses'?} + \begin{figure} + \begin{center} + \includegraphics[width=0.65\textwidth]{images/trust_research.png} + \end{center} + \end{figure} +\end{frame} + +% =========================== Measuring network density ===================== +\section{Measuring Density} + +\begin{frame}{Density Metrics} + \begin{tcolorbox}[ + colback=comp_c!5!white, + colframe=comp_c!90!black, + title={\centering !! Pay attention !!}] + There is no single metric capturing the concept of network density + \end{tcolorbox} + + \vspace{2em} + + In practice, we use complementary metrics such as + + \begin{itemize} + \item Average degree + \item Degree distribution + \item Connectedness + \item Clustering coefficient + \end{itemize} +\end{frame} + +\begin{frame}{Average Degree}{} + \begin{columns} + \begin{column}{0.33\textwidth} + + 'Average Degree' is the mean number of connections + per node in a network + + \begin{equation*} + \langle k \rangle = \frac{1}{N}\sum_{i=1}^{N}k_{i} + \end{equation*} + + \end{column} + \begin{column}{0.33\textwidth} + \centering + + \textbf{A} --- a `star' + + \vspace{1em} + + \input{images/star.pgf} + + \vspace{1em} + + $\langle k \rangle = \frac{4}{5}$ + + \end{column} + \begin{column}{0.33\textwidth} + \centering + \textbf{B} --- a `dense' network + + \vspace{1em} + + \input{images/dense.pgf} + + \vspace{1em} + + $\langle k \rangle = \frac{16}{5}$ + + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Degree Distribution} + \begin{columns} + \begin{column}{0.33\textwidth} + `Degree Distribution' is the distribution of the nodes + across unique degree levels. Oftentimes, it is + calculated to provide the probability that a randomly + selected node in the network has degree $k$ + + \begin{equation*} + \sum_{k = 1}^{\infty} p_{k}= 1 + \end{equation*} + + hence + + \begin{equation*} + p_{k} = \frac{N_{k}}{N} + \end{equation*} + + \end{column} + \begin{column}{0.33\textwidth} + + \centering + + \textbf{A} --- a `star' + + \vspace{1em} + + \input{images/star.pgf} + + \begin{table} + \begin{small} + \begin{center} + \begin{tabular}{l|c} + $k$ & + $Pr(k)$ \\ + \hline + 1 & 0.8 \\ + 4 & 0.2 \\ + \end{tabular} + \end{center} + \end{small} + \end{table} + \end{column} + \begin{column}{0.33\textwidth} + \centering + + \textbf{B} --- a `dense' network + + \vspace{1em} + + \input{images/dense.pgf} + + \begin{table} + \begin{small} + \begin{center} + \begin{tabular}{l|c} + $k$ & + $Pr(k)$ \\ + \hline + 3 & 0.8 \\ + 4 & 0.2 \\ + \end{tabular} + \end{center} + \end{small} + \end{table} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Connectedeness} + \begin{columns} + \begin{column}{0.33\textwidth} + In an undirected network nodes $i$ and $j$ are connected if + there is a path between them. They are disconnected if + such a path does not exist, in which case we have $d_{ij} = \infty$ + + \end{column} + \begin{column}{0.33\textwidth} + + \begin{center} + + \textbf{A} --- + + a disconnected network + + \vspace{1em} + + \input{images/disconnected_net.pgf} + + \end{center} + + \begin{footnotesize} + The graph has two connected components (1-2 and 4-5-6), + but it lacks overall connectivity. For example, there is + not path between nodes 1 and 6. + \end{footnotesize} + + \end{column} + \begin{column}{0.33\textwidth} + \begin{center} + + \textbf{B} --- + + a connected network + + \vspace{1em} + + \input{images/connected_net.pgf} + + \end{center} + + \begin{footnotesize} + This graph is connected. Although + some nodes are not directly connected (e.g., 4-7), + an indirect path exists between them (e.g., 4-6-7). + \end{footnotesize} + + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{Clustering Coefficient} + \begin{columns} + \begin{column}{0.33\textwidth} + The clustering coefficient captures the degree to which + the neighbors of a given node link to each other. For a + node $i$ with degree $k_{i}$ the local clustering coefficient + is defined as + + \begin{equation*} + C_{i} = \frac{2L_{i}}{k_{i}(k_{i}-1)} + \end{equation*} + + where $L_{i}$ represents the number of links between + the $k_{i}$ neighbors of node $i$ + + \end{column} + \begin{column}{0.22\textwidth} + + \centering + + \textbf{A} + + \vspace{1em} + + \input{images/clustering_0.pgf} + + \vspace{1em} + + $C_{ego} = \frac{0}{3}$ + + + \end{column} + \begin{column}{0.22\textwidth} + \centering + + \textbf{B} + + \vspace{1em} + + \input{images/clustering_1.pgf} + + \vspace{1em} + + $C_{ego} = \frac{1}{3}$ + + \end{column} + \begin{column}{0.22\textwidth} + \centering + + \textbf{C} + + \vspace{1em} + + \input{images/clustering_2.pgf} + + \vspace{1em} + + $C_{ego} = \frac{3}{3}$ + + \end{column} + \end{columns} +\end{frame} + +% =========================== Bridging Social Capital ======================= +\section{Bridging Social Capital and Value Creation} + +\begin{frame}{Section Focus} + \begin{columns}[c] + \begin{column}{0.5\textwidth} + \Large The attention revolves around the topic of \textcolor{base_c}{ + bridging social capital} and the \textcolor{comp_c}{brokerage + mechanism} + \end{column} + \begin{column}{0.5\textwidth} + \begin{tikzpicture}[transform shape] + \foreach \x in {1,...,16}{% + \pgfmathparse{(\x-1)*45+floor(\x/9)*22.5} + \node[draw,circle,inner sep=0.25cm] (N-\x) at (\pgfmathresult:5.4cm) {}; + } + \foreach \x [count=\xi from 1] in {2,...,16}{% + \foreach \y in {\x,...,16}{% + \path (N-\xi) edge[-,bend right=3] (N-\y) edge[-,bend left=3] (N-\y); + } + } + \end{tikzpicture} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{What are Small World Networks?} + \begin{tcolorbox}[ + colback=tri_2!5!white, + colframe=tri_2!90!black, + title={\centering \Large $\sim$ Definition 2 --- Small-world network $\sim$}] + \large The tendency of a network to present small cohesive + groups of nodes tied together by few bridging ties. + \end{tcolorbox} +\end{frame} + +\begin{frame}{Two Alternative Network Forms} + \begin{columns}[t] + \begin{column}{0.5\textwidth} + \begin{center} + \textbf{A homogenous network} + \begin{figure} + \input{images/random_net.pgf} + \caption*{ + \footnotesize + A random network with $N=100$ nodes + and $\langle k \rangle = 5$. Source + \cite{steger1999} + } + \end{figure} + \end{center} + \end{column} + \begin{column}{0.5\textwidth} + \begin{center} + \textbf{A small-world network} + \begin{figure} + \input{images/small_world.pgf} + \caption*{ + \footnotesize + A Watts-Strogatz network with $N=100$ + nodes, $10$ neighbors a node, and + tie rewiring prob. $0.02$. Source + \cite{watts1998} + } + \end{figure} + \end{center} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{What is the Outcome of Small World Networks?} + \centering + \begin{columns} + \begin{column}{0.5\textwidth} + \includegraphics[width=0.9\textwidth]{images/ron_burt.jpeg} + \end{column} + \begin{column}{0.5\textwidth} + \includegraphics[width=0.7\textwidth]{images/brokerage_and_closure.jpeg} + \end{column} + \end{columns} +\end{frame} + +\begin{frame}{What is the Outcome of Small World Networks?} + {Source \cite{burt2007} --- Fig. 1.1: The small world of organizations and markets} + \begin{figure} + \includegraphics[width=0.8\textwidth]{images/intr_org_net.png} + \end{figure} +\end{frame} + +\begin{frame}{What Is the Outcome of Small-World Networks?} + \begin{figure} + \resizebox{0.85\textwidth}{!}{ + \begin{tikzpicture}[node distance=1cm, auto,] % no additional information + \node[](d){}; + \node[punkt,left=2cm of d](dn){Small-world nets}; + \node[punkt, label={[align=right]}, right=2cm of d](bsc){Bridging\\social capital} + edge[pil, <-, bend left=0](dn.east); + \node[above=0.15cm of d](edge_label){\textcolor{blue}{\textit{foster}}}; + \node[below=0.15cm of d](d0){}; + \node[right=3.35cm of d0](d1){}; + \node[right=0.001cm of d1](d2){}; + \node[right=0.001cm of d2](d3){}; + \node[below=-0.2cm of dn](d5){}; + \node[right=0.001cm of d5](d4){}; + \node[left=0.001cm of d5](d6){}; + % \pause + \node[punkt, below=0.65cm of d](info_sharing){Access to non-redundant information} + edge[pil, <-, bend left=30](d4) + edge[pil, ->, bend right=30] (d1.south); + % \pause + % \pause + \node[punkt, below=0.65cm of info_sharing](cooperation){Early access to information} + edge[pil, <-, bend left=30](d5) + edge[pil, ->, bend right=30] (d2.south); + % \pause + % \pause + \node[punkt, below=0.65cm of cooperation](trust){Strategic information management} + edge[pil, <-, bend left=30](d6) + edge[pil, ->, bend right=30] (d3.south); + \node[below=-0.2cm of cooperation](cooperation_1){} + edge[pil, ->](trust.north); + \node[below=-0.2cm of info_sharing](info_sharing_1){} + edge[pil, ->](cooperation.north); + \end{tikzpicture}} + \end{figure} +\end{frame} + +\begin{frame}{Evidence on the Returns of Bridging Social Capital} + {Source \cite{burt2007} --- Fig. 2.1: Good ideas and brokerage} + \centering + \includegraphics[width=0.8\textwidth]{images/good_ideas.png} +\end{frame} + +% =========================== Measuring structural holes ===================== +\section{Capturing Briging Ties and Positions} + +\begin{frame}{Metrics Associated with the Brokerage Process} + \begin{columns}[t] + \begin{column}{0.5\textwidth} + \textbf{Bridging Ties} + \begin{itemize} + \item Edge betweeness + \end{itemize} + \end{column} + \begin{column}{0.5\textwidth} + \textbf{Bridging Positions} + \begin{itemize} + \item Node betweness + \item Burt's Constraint Index + \end{itemize} + \end{column} + \end{columns} +\end{frame} + + +% =========================== Bibliography ================================= +\begin{frame} + \frametitle{References} + \printbibliography + \end{frame} + +% =========================== Document end ================================== +\end{document} \ No newline at end of file diff --git a/beamers/networksAndValue/bmr.toc b/beamers/networksAndValue/bmr.toc new file mode 100644 index 0000000..4c968d9 --- /dev/null +++ b/beamers/networksAndValue/bmr.toc @@ -0,0 +1,6 @@ +\beamer@sectionintoc {1}{Session 2 Wrap Up}{3}{0}{1} +\beamer@sectionintoc {2}{When Do Networks Create Value?}{11}{0}{2} +\beamer@sectionintoc {3}{Bonding Social Capital and Value Creation}{15}{0}{3} +\beamer@sectionintoc {4}{Measuring Density}{36}{0}{4} +\beamer@sectionintoc {5}{Bridging Social Capital and Value Creation}{42}{0}{5} +\beamer@sectionintoc {6}{Capturing Briging Ties and Positions}{50}{0}{6} diff --git a/beamers/networksAndValue/graphs.py b/beamers/networksAndValue/graphs.py new file mode 100644 index 0000000..42a2760 --- /dev/null +++ b/beamers/networksAndValue/graphs.py @@ -0,0 +1,123 @@ +# %% +# import +import numpy as np +import matplotlib.pyplot as plt +import networkx as nx + +# %% +# a sparse graph + +# the graph +g = nx.Graph() +g.add_nodes_from([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) +g.add_edge(1, 2) +g.add_edge(3, 4) +g.add_edge(4, 5) +g.add_edge(9, 10) +# node positions +pos = { + 1: (0, 0), + 2: (1, 0), + 3: (0, 1), + 4: (1, 1), + 5: (2, 1), + 6: (0, 2), + 7: (1, 2), + 8: (2, 2), + 9: (0, 3), + 10: (1, 3), +} +# draw network +fig = plt.figure(figsize=(3, 3)) +ax = fig.add_subplot(111) +options = {"node_color": "white", "edge_color": "black", "node_size": 500} +nx.draw(g, with_labels=True, **options, ax=ax, pos=pos) +plt.savefig("images/sparse_graph.pgf", bbox_inches="tight", backend="pgf") + +# %% +# dense network + +# the graph +g = nx.random_regular_graph(6, 10, seed=99) +# node positions +pos = nx.spring_layout(g, k=0.5, iterations=5000) +# draw network +fig = plt.figure(figsize=(3, 3)) +ax = fig.add_subplot(111) +options = {"node_color": "white", "edge_color": "black", "node_size": 500} +nx.draw(g, with_labels=True, **options, ax=ax, pos=pos, connectionstyle="arc3, rad=1") +plt.savefig("images/dense_graph.pgf", bbox_inches="tight", backend="pgf") + + +# %% +# expected profitability +x = np.linspace(0, 1, 100) +y = -1 + x - x**2 +fig = plt.figure(figsize=(2.75, 2.75)) +ax = fig.add_subplot(111) +ax.plot(x, y, color="black") +ax.hlines(y=-0.85, xmin=0, xmax=1, color="grey", linestyles="dashed") +ax.text(1.05, -0.855, "$\Pi = 0$") +ax.hlines(y=-1, xmin=0, xmax=1, color="red", linestyles="dashed") +ax.text(-0.15, -1.005, "$-\delta$") +ax.set_xlabel("$\phi$") +ax.set_ylabel("$E(\Pi)$") +ax.set_xticks([]) +ax.set_yticks([]) +ax.set_xticklabels([]) +ax.set_yticklabels([]) +ax.spines["left"].set_visible(False) +ax.spines["left"].set_visible(False) +ax.spines["right"].set_visible(False) +ax.spines["top"].set_visible(False) +ax.spines["bottom"].set_visible(False) +plt.savefig("images/expected_profitability.pgf", bbox_inches="tight", backend="pgf") + +# %% +# buyer seller network +fig = plt.figure(figsize=(3, 2)) +ax = fig.add_subplot(111) +g = nx.Graph() +g.add_nodes_from(["b1", "b2", "b3"]) +g.add_nodes_from(["s1", "s2", "s3", "s4"]) +g.add_edge("s1", "s2") +g.add_edge("s1", "s3") +g.add_edge("s2", "s3") +g.add_edge("s3", "s4") +g.add_edge("s2", "s4") +pos = { + "b1": (0, 0), + "b2": (0, 1), + "b3": (0, 2), + "s1": (3, 1), + "s2": (2, 2), + "s3": (4, 2), + "s4": (3, 0), +} +nx.draw(g, pos=pos, node_color="white", with_labels=True, ax=ax) +ax.text(-0.5, 2.5, "Buyers", fontsize=13) +ax.text(2.5, 2.5, "Sellers", fontsize=13) +plt.savefig("images/buyer_seller_network_dense.pgf", bbox_inches="tight", backend="pgf") + +# %% +# open and closed triads +# buyer seller network +fig = plt.figure(figsize=(3, 2)) +ax = fig.add_subplot(111) +g = nx.Graph() +g.add_nodes_from(["s", "b1", "b2"]) +g.add_edge("s", "b1") +g.add_edge("s", "b2") +# g.add_edge("b1", "b2") +pos = { + "s": (1,1), + "b1": (0, 0), + "b2": (2, 0) +} +nx.draw(g, pos=pos, node_color="white", with_labels=True, ax=ax) +# ax.text(1, 1.5, "An open tri", fontsize=13) +# ax.text(2.5, 2.5, "Sellers", fontsize=13) +plt.savefig("images/open_triad.pgf", bbox_inches="tight", backend="pgf") + + +# %% diff --git a/beamers/networksAndValue/images/brokerage_and_closure.jpeg b/beamers/networksAndValue/images/brokerage_and_closure.jpeg new file mode 100644 index 0000000..cf30f5f Binary files /dev/null and b/beamers/networksAndValue/images/brokerage_and_closure.jpeg differ diff --git a/beamers/networksAndValue/images/buyer_seller_network.pgf b/beamers/networksAndValue/images/buyer_seller_network.pgf new file mode 100644 index 0000000..cca26a7 --- /dev/null +++ b/beamers/networksAndValue/images/buyer_seller_network.pgf @@ -0,0 +1,185 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Also ensure that all the required font packages are loaded; for instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. 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b/beamers/networksAndValue/images/buyer_seller_network_dense.pgf @@ -0,0 +1,224 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Also ensure that all the required font packages are loaded; for instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{2.677079in}{2.061725in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{2.677079in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{2.677079in}{2.061725in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{2.061725in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.252079in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.904324in}{0.870000in}}% +\pgfpathlineto{\pgfqpoint{1.388803in}{1.506364in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.252079in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.904324in}{0.870000in}}% +\pgfpathlineto{\pgfqpoint{2.419845in}{1.506364in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.252079in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.388803in}{1.506364in}}% +\pgfpathlineto{\pgfqpoint{2.419845in}{1.506364in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.252079in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.388803in}{1.506364in}}% +\pgfpathlineto{\pgfqpoint{1.904324in}{0.233636in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.252079in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{2.419845in}{1.506364in}}% +\pgfpathlineto{\pgfqpoint{1.904324in}{0.233636in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.252079in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.120281in}{-0.120281in}}{\pgfqpoint{0.120281in}{0.120281in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathcurveto{\pgfqpoint{0.031899in}{-0.120281in}}{\pgfqpoint{0.062496in}{-0.107608in}}{\pgfqpoint{0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.107608in}{-0.062496in}}{\pgfqpoint{0.120281in}{-0.031899in}}{\pgfqpoint{0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.120281in}{0.031899in}}{\pgfqpoint{0.107608in}{0.062496in}}{\pgfqpoint{0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.062496in}{0.107608in}}{\pgfqpoint{0.031899in}{0.120281in}}{\pgfqpoint{0.000000in}{0.120281in}}% +\pgfpathcurveto{\pgfqpoint{-0.031899in}{0.120281in}}{\pgfqpoint{-0.062496in}{0.107608in}}{\pgfqpoint{-0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.107608in}{0.062496in}}{\pgfqpoint{-0.120281in}{0.031899in}}{\pgfqpoint{-0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.120281in}{-0.031899in}}{\pgfqpoint{-0.107608in}{-0.062496in}}{\pgfqpoint{-0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.062496in}{-0.107608in}}{\pgfqpoint{-0.031899in}{-0.120281in}}{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.357761in}{0.233636in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.357761in}{0.870000in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.357761in}{1.506364in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.904324in}{0.870000in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.388803in}{1.506364in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{2.419845in}{1.506364in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.904324in}{0.233636in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.357761in,y=0.233636in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont b1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.357761in,y=0.870000in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont b2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.357761in,y=1.506364in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont b3}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.904324in,y=0.870000in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont s1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.388803in,y=1.506364in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont s2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=2.419845in,y=1.506364in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont s3}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.904324in,y=0.233636in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont s4}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.100000in,y=1.824545in,left,base]{\color{textcolor}\sffamily\fontsize{13.000000}{15.600000}\selectfont Buyers}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.646563in,y=1.824545in,left,base]{\color{textcolor}\sffamily\fontsize{13.000000}{15.600000}\selectfont Sellers}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/closed_triad.pgf b/beamers/networksAndValue/images/closed_triad.pgf new file mode 100644 index 0000000..e6cec4a --- /dev/null +++ b/beamers/networksAndValue/images/closed_triad.pgf @@ -0,0 +1,146 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Also ensure that all the required font packages are loaded; for instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{2.525000in}{1.740000in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{2.525000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{2.525000in}{1.740000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.740000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.262500in}{1.506364in}}% +\pgfpathlineto{\pgfqpoint{0.301756in}{0.233636in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.262500in}{1.506364in}}% +\pgfpathlineto{\pgfqpoint{2.223244in}{0.233636in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.301756in}{0.233636in}}% +\pgfpathlineto{\pgfqpoint{2.223244in}{0.233636in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.120281in}{-0.120281in}}{\pgfqpoint{0.120281in}{0.120281in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathcurveto{\pgfqpoint{0.031899in}{-0.120281in}}{\pgfqpoint{0.062496in}{-0.107608in}}{\pgfqpoint{0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.107608in}{-0.062496in}}{\pgfqpoint{0.120281in}{-0.031899in}}{\pgfqpoint{0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.120281in}{0.031899in}}{\pgfqpoint{0.107608in}{0.062496in}}{\pgfqpoint{0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.062496in}{0.107608in}}{\pgfqpoint{0.031899in}{0.120281in}}{\pgfqpoint{0.000000in}{0.120281in}}% +\pgfpathcurveto{\pgfqpoint{-0.031899in}{0.120281in}}{\pgfqpoint{-0.062496in}{0.107608in}}{\pgfqpoint{-0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.107608in}{0.062496in}}{\pgfqpoint{-0.120281in}{0.031899in}}{\pgfqpoint{-0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.120281in}{-0.031899in}}{\pgfqpoint{-0.107608in}{-0.062496in}}{\pgfqpoint{-0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.062496in}{-0.107608in}}{\pgfqpoint{-0.031899in}{-0.120281in}}{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{1.262500in}{1.506364in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.301756in}{0.233636in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{2.223244in}{0.233636in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.262500in,y=1.506364in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont s}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.301756in,y=0.233636in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont b1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=2.223244in,y=0.233636in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont b2}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/clustering_0.pgf b/beamers/networksAndValue/images/clustering_0.pgf new file mode 100644 index 0000000..fd65cb5 --- /dev/null +++ b/beamers/networksAndValue/images/clustering_0.pgf @@ -0,0 +1,151 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.000000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.162500in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.132500in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{0.100878in}{0.722242in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{0.581250in}{1.034225in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{1.061622in}{0.722242in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.120281in}{-0.120281in}}{\pgfqpoint{0.120281in}{0.120281in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathcurveto{\pgfqpoint{0.031899in}{-0.120281in}}{\pgfqpoint{0.062496in}{-0.107608in}}{\pgfqpoint{0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.107608in}{-0.062496in}}{\pgfqpoint{0.120281in}{-0.031899in}}{\pgfqpoint{0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.120281in}{0.031899in}}{\pgfqpoint{0.107608in}{0.062496in}}{\pgfqpoint{0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.062496in}{0.107608in}}{\pgfqpoint{0.031899in}{0.120281in}}{\pgfqpoint{0.000000in}{0.120281in}}% +\pgfpathcurveto{\pgfqpoint{-0.031899in}{0.120281in}}{\pgfqpoint{-0.062496in}{0.107608in}}{\pgfqpoint{-0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.107608in}{0.062496in}}{\pgfqpoint{-0.120281in}{0.031899in}}{\pgfqpoint{-0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.120281in}{-0.031899in}}{\pgfqpoint{-0.107608in}{-0.062496in}}{\pgfqpoint{-0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.062496in}{-0.107608in}}{\pgfqpoint{-0.031899in}{-0.120281in}}{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.581250in}{0.098275in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.100878in}{0.722242in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.581250in}{1.034225in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.061622in}{0.722242in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.581250in,y=0.098275in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont ego}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.100878in,y=0.722242in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont a1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.581250in,y=1.034225in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont a2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.061622in,y=0.722242in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont a3}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/clustering_1.pgf b/beamers/networksAndValue/images/clustering_1.pgf new file mode 100644 index 0000000..8dbf3fc --- /dev/null +++ b/beamers/networksAndValue/images/clustering_1.pgf @@ -0,0 +1,164 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.000000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.162500in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.132500in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{0.100878in}{0.722242in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{0.581250in}{1.034225in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{1.061622in}{0.722242in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.100878in}{0.722242in}}% +\pgfpathlineto{\pgfqpoint{0.581250in}{1.034225in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.120281in}{-0.120281in}}{\pgfqpoint{0.120281in}{0.120281in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathcurveto{\pgfqpoint{0.031899in}{-0.120281in}}{\pgfqpoint{0.062496in}{-0.107608in}}{\pgfqpoint{0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.107608in}{-0.062496in}}{\pgfqpoint{0.120281in}{-0.031899in}}{\pgfqpoint{0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.120281in}{0.031899in}}{\pgfqpoint{0.107608in}{0.062496in}}{\pgfqpoint{0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.062496in}{0.107608in}}{\pgfqpoint{0.031899in}{0.120281in}}{\pgfqpoint{0.000000in}{0.120281in}}% +\pgfpathcurveto{\pgfqpoint{-0.031899in}{0.120281in}}{\pgfqpoint{-0.062496in}{0.107608in}}{\pgfqpoint{-0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.107608in}{0.062496in}}{\pgfqpoint{-0.120281in}{0.031899in}}{\pgfqpoint{-0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.120281in}{-0.031899in}}{\pgfqpoint{-0.107608in}{-0.062496in}}{\pgfqpoint{-0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.062496in}{-0.107608in}}{\pgfqpoint{-0.031899in}{-0.120281in}}{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.581250in}{0.098275in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.100878in}{0.722242in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.581250in}{1.034225in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.061622in}{0.722242in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.581250in,y=0.098275in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont ego}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.100878in,y=0.722242in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont a1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.581250in,y=1.034225in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont a2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.061622in,y=0.722242in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont a3}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/clustering_2.pgf b/beamers/networksAndValue/images/clustering_2.pgf new file mode 100644 index 0000000..1db3e3b --- /dev/null +++ b/beamers/networksAndValue/images/clustering_2.pgf @@ -0,0 +1,190 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.000000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.162500in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.132500in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{0.100878in}{0.722242in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{0.581250in}{1.034225in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.581250in}{0.098275in}}% +\pgfpathlineto{\pgfqpoint{1.061622in}{0.722242in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.100878in}{0.722242in}}% +\pgfpathlineto{\pgfqpoint{0.581250in}{1.034225in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.100878in}{0.722242in}}% +\pgfpathlineto{\pgfqpoint{1.061622in}{0.722242in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% 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/dev/null +++ b/beamers/networksAndValue/images/connected_net.pgf @@ -0,0 +1,412 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% 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+\pgftext[x=0.581250in,y=0.098275in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.920924in,y=0.235342in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 1}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/dense.pgf b/beamers/networksAndValue/images/dense.pgf new file mode 100644 index 0000000..a8d8530 --- /dev/null +++ b/beamers/networksAndValue/images/dense.pgf @@ -0,0 +1,226 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.000000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.550000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.510000in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{0.131033in}}% +\pgfpathlineto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{0.131033in}}% +\pgfpathlineto{\pgfqpoint{0.134504in}{1.378967in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{0.131033in}}% +\pgfpathlineto{\pgfqpoint{1.415496in}{0.131033in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{1.378967in}}% +\pgfpathlineto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{1.378967in}}% +\pgfpathlineto{\pgfqpoint{1.415496in}{1.378967in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% 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+\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.415496in}{0.131033in}}% +\pgfpathlineto{\pgfqpoint{1.415496in}{1.378967in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.120281in}{-0.120281in}}{\pgfqpoint{0.120281in}{0.120281in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathcurveto{\pgfqpoint{0.031899in}{-0.120281in}}{\pgfqpoint{0.062496in}{-0.107608in}}{\pgfqpoint{0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.107608in}{-0.062496in}}{\pgfqpoint{0.120281in}{-0.031899in}}{\pgfqpoint{0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.120281in}{0.031899in}}{\pgfqpoint{0.107608in}{0.062496in}}{\pgfqpoint{0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.062496in}{0.107608in}}{\pgfqpoint{0.031899in}{0.120281in}}{\pgfqpoint{0.000000in}{0.120281in}}% +\pgfpathcurveto{\pgfqpoint{-0.031899in}{0.120281in}}{\pgfqpoint{-0.062496in}{0.107608in}}{\pgfqpoint{-0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.107608in}{0.062496in}}{\pgfqpoint{-0.120281in}{0.031899in}}{\pgfqpoint{-0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.120281in}{-0.031899in}}{\pgfqpoint{-0.107608in}{-0.062496in}}{\pgfqpoint{-0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.062496in}{-0.107608in}}{\pgfqpoint{-0.031899in}{-0.120281in}}{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.134504in}{0.131033in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.134504in}{1.378967in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.775000in}{0.755000in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.415496in}{0.131033in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.415496in}{1.378967in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.134504in,y=0.131033in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.134504in,y=1.378967in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.775000in,y=0.755000in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 3}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.415496in,y=0.131033in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 4}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.415496in,y=1.378967in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 5}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/dense_graph.pgf b/beamers/networksAndValue/images/dense_graph.pgf new file mode 100644 index 0000000..571bedc --- /dev/null +++ b/beamers/networksAndValue/images/dense_graph.pgf @@ -0,0 +1,567 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Also ensure that all the required font packages are loaded; for instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{2.525000in}{2.510000in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% 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the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.162500in}{1.132500in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% 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instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{2.933101in}{2.556079in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% 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b/beamers/networksAndValue/images/intr_org_net.png differ diff --git a/beamers/networksAndValue/images/network_density_sum.pgf b/beamers/networksAndValue/images/network_density_sum.pgf new file mode 100644 index 0000000..5febd97 --- /dev/null +++ b/beamers/networksAndValue/images/network_density_sum.pgf @@ -0,0 +1,37757 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Also ensure that all the required font packages are loaded; for instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{5.305237in}{3.719064in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% 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+\pgftext[x=4.389278in,y=1.917437in,,base]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont Degree Distribution}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/open_triad.pgf b/beamers/networksAndValue/images/open_triad.pgf new file mode 100644 index 0000000..74efd84 --- /dev/null +++ b/beamers/networksAndValue/images/open_triad.pgf @@ -0,0 +1,133 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Also ensure that all the required font packages are loaded; for instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{2.525000in}{1.740000in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{2.525000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{2.525000in}{1.740000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.740000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.262500in}{1.506364in}}% +\pgfpathlineto{\pgfqpoint{0.301756in}{0.233636in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.262500in}{1.506364in}}% +\pgfpathlineto{\pgfqpoint{2.223244in}{0.233636in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{1.540000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.120281in}{-0.120281in}}{\pgfqpoint{0.120281in}{0.120281in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathcurveto{\pgfqpoint{0.031899in}{-0.120281in}}{\pgfqpoint{0.062496in}{-0.107608in}}{\pgfqpoint{0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.107608in}{-0.062496in}}{\pgfqpoint{0.120281in}{-0.031899in}}{\pgfqpoint{0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.120281in}{0.031899in}}{\pgfqpoint{0.107608in}{0.062496in}}{\pgfqpoint{0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.062496in}{0.107608in}}{\pgfqpoint{0.031899in}{0.120281in}}{\pgfqpoint{0.000000in}{0.120281in}}% +\pgfpathcurveto{\pgfqpoint{-0.031899in}{0.120281in}}{\pgfqpoint{-0.062496in}{0.107608in}}{\pgfqpoint{-0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.107608in}{0.062496in}}{\pgfqpoint{-0.120281in}{0.031899in}}{\pgfqpoint{-0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.120281in}{-0.031899in}}{\pgfqpoint{-0.107608in}{-0.062496in}}{\pgfqpoint{-0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.062496in}{-0.107608in}}{\pgfqpoint{-0.031899in}{-0.120281in}}{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{1.262500in}{1.506364in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.301756in}{0.233636in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{2.223244in}{0.233636in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.262500in,y=1.506364in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont s}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.301756in,y=0.233636in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont b1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=2.223244in,y=0.233636in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont b2}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/random_net.pgf b/beamers/networksAndValue/images/random_net.pgf new file mode 100644 index 0000000..5e839d8 --- /dev/null +++ b/beamers/networksAndValue/images/random_net.pgf @@ -0,0 +1,3979 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Also ensure that all the required font packages are loaded; for instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.937500in}{1.732500in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.937500in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.937500in}{1.732500in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.732500in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.937500in}{1.732500in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{0.501875pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.300000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.715712in}{0.844676in}}% +\pgfpathlineto{\pgfqpoint{1.147056in}{0.701964in}}% +\pgfusepath{stroke}% +\end{pgfscope}% 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+\pgfsys@transformshift{1.102714in}{0.587284in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.898705in}{0.579307in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.910106in}{0.672090in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.002451in}{0.710305in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.057496in}{0.767701in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.929519in}{0.867221in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.156918in}{0.489066in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.146648in}{0.719986in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.216399in}{0.738349in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.224134in}{0.645850in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.251258in}{0.336637in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.312148in}{0.453757in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.427281in}{0.610350in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.397095in}{0.430738in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.423905in}{0.344054in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.520773in}{0.299979in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.451482in}{0.504226in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.599525in}{0.419728in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.664727in}{0.422181in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.694739in}{0.492596in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.625158in}{0.599367in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.722701in}{0.609816in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.769370in}{0.707871in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/sparse_graph.pgf b/beamers/networksAndValue/images/sparse_graph.pgf new file mode 100644 index 0000000..63584e1 --- /dev/null +++ b/beamers/networksAndValue/images/sparse_graph.pgf @@ -0,0 +1,229 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Also ensure that all the required font packages are loaded; for instance, +%% the lmodern package is sometimes necessary when using math font. +%% \usepackage{lmodern} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/na/lib/python3.10/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{2.525000in}{2.510000in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{2.525000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{2.525000in}{2.510000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{2.510000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{2.310000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.301756in}{0.300455in}}% +\pgfpathlineto{\pgfqpoint{1.262500in}{0.300455in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{2.310000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.301756in}{0.936818in}}% +\pgfpathlineto{\pgfqpoint{1.262500in}{0.936818in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{2.310000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{1.262500in}{0.936818in}}% +\pgfpathlineto{\pgfqpoint{2.223244in}{0.936818in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{2.310000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.301756in}{2.209545in}}% +\pgfpathlineto{\pgfqpoint{1.262500in}{2.209545in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.100000in}{0.100000in}}{\pgfqpoint{2.325000in}{2.310000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.155282in}{-0.155282in}}{\pgfqpoint{0.155282in}{0.155282in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.155282in}}% +\pgfpathcurveto{\pgfqpoint{0.041181in}{-0.155282in}}{\pgfqpoint{0.080682in}{-0.138921in}}{\pgfqpoint{0.109801in}{-0.109801in}}% +\pgfpathcurveto{\pgfqpoint{0.138921in}{-0.080682in}}{\pgfqpoint{0.155282in}{-0.041181in}}{\pgfqpoint{0.155282in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.155282in}{0.041181in}}{\pgfqpoint{0.138921in}{0.080682in}}{\pgfqpoint{0.109801in}{0.109801in}}% +\pgfpathcurveto{\pgfqpoint{0.080682in}{0.138921in}}{\pgfqpoint{0.041181in}{0.155282in}}{\pgfqpoint{0.000000in}{0.155282in}}% +\pgfpathcurveto{\pgfqpoint{-0.041181in}{0.155282in}}{\pgfqpoint{-0.080682in}{0.138921in}}{\pgfqpoint{-0.109801in}{0.109801in}}% +\pgfpathcurveto{\pgfqpoint{-0.138921in}{0.080682in}}{\pgfqpoint{-0.155282in}{0.041181in}}{\pgfqpoint{-0.155282in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.155282in}{-0.041181in}}{\pgfqpoint{-0.138921in}{-0.080682in}}{\pgfqpoint{-0.109801in}{-0.109801in}}% +\pgfpathcurveto{\pgfqpoint{-0.080682in}{-0.138921in}}{\pgfqpoint{-0.041181in}{-0.155282in}}{\pgfqpoint{0.000000in}{-0.155282in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{-0.155282in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.301756in}{0.300455in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.262500in}{0.300455in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.301756in}{0.936818in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.262500in}{0.936818in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{2.223244in}{0.936818in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.301756in}{1.573182in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.262500in}{1.573182in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{2.223244in}{1.573182in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.301756in}{2.209545in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.262500in}{2.209545in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.301756in,y=0.300455in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.262500in,y=0.300455in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.301756in,y=0.936818in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 3}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.262500in,y=0.936818in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 4}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=2.223244in,y=0.936818in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 5}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.301756in,y=1.573182in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 6}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.262500in,y=1.573182in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 7}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=2.223244in,y=1.573182in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 8}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.301756in,y=2.209545in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 9}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.262500in,y=2.209545in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 10}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/star.pgf b/beamers/networksAndValue/images/star.pgf new file mode 100644 index 0000000..dc4e0d5 --- /dev/null +++ b/beamers/networksAndValue/images/star.pgf @@ -0,0 +1,174 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.000000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.550000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.510000in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{0.131033in}}% +\pgfpathlineto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{1.378967in}}% +\pgfpathlineto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfpathlineto{\pgfqpoint{1.415496in}{0.131033in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfpathlineto{\pgfqpoint{1.415496in}{1.378967in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.120281in}{-0.120281in}}{\pgfqpoint{0.120281in}{0.120281in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathcurveto{\pgfqpoint{0.031899in}{-0.120281in}}{\pgfqpoint{0.062496in}{-0.107608in}}{\pgfqpoint{0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.107608in}{-0.062496in}}{\pgfqpoint{0.120281in}{-0.031899in}}{\pgfqpoint{0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.120281in}{0.031899in}}{\pgfqpoint{0.107608in}{0.062496in}}{\pgfqpoint{0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.062496in}{0.107608in}}{\pgfqpoint{0.031899in}{0.120281in}}{\pgfqpoint{0.000000in}{0.120281in}}% +\pgfpathcurveto{\pgfqpoint{-0.031899in}{0.120281in}}{\pgfqpoint{-0.062496in}{0.107608in}}{\pgfqpoint{-0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.107608in}{0.062496in}}{\pgfqpoint{-0.120281in}{0.031899in}}{\pgfqpoint{-0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.120281in}{-0.031899in}}{\pgfqpoint{-0.107608in}{-0.062496in}}{\pgfqpoint{-0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.062496in}{-0.107608in}}{\pgfqpoint{-0.031899in}{-0.120281in}}{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.134504in}{0.131033in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.134504in}{1.378967in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.775000in}{0.755000in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.415496in}{0.131033in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.415496in}{1.378967in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.134504in,y=0.131033in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.134504in,y=1.378967in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.775000in,y=0.755000in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 3}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.415496in,y=0.131033in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 4}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.415496in,y=1.378967in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 5}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/start.pgf b/beamers/networksAndValue/images/start.pgf new file mode 100644 index 0000000..dc4e0d5 --- /dev/null +++ b/beamers/networksAndValue/images/start.pgf @@ -0,0 +1,174 @@ +%% Creator: Matplotlib, PGF backend +%% +%% To include the figure in your LaTeX document, write +%% \input{.pgf} +%% +%% Make sure the required packages are loaded in your preamble +%% \usepackage{pgf} +%% +%% Figures using additional raster images can only be included by \input if +%% they are in the same directory as the main LaTeX file. For loading figures +%% from other directories you can use the `import` package +%% \usepackage{import} +%% +%% and then include the figures with +%% \import{}{.pgf} +%% +%% Matplotlib used the following preamble +%% \usepackage{fontspec} +%% \setmainfont{DejaVuSerif.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setsansfont{DejaVuSans.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% \setmonofont{DejaVuSansMono.ttf}[Path=\detokenize{/Users/sbbk475/opt/anaconda3/envs/tech_sci/lib/python3.9/site-packages/matplotlib/mpl-data/fonts/ttf/}] +%% +\begingroup% +\makeatletter% +\begin{pgfpicture}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{use as bounding box, clip}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetmiterjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.000000pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.000000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.550000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{1.510000in}}% +\pgfpathclose% +\pgfusepath{fill}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{0.131033in}}% +\pgfpathlineto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.134504in}{1.378967in}}% +\pgfpathlineto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfpathlineto{\pgfqpoint{1.415496in}{0.131033in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.775000in}{0.755000in}}% +\pgfpathlineto{\pgfqpoint{1.415496in}{1.378967in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{1.550000in}{1.510000in}}% +\pgfusepath{clip}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{1.003750pt}% +\definecolor{currentstroke}{rgb}{1.000000,1.000000,1.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.120281in}{-0.120281in}}{\pgfqpoint{0.120281in}{0.120281in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathcurveto{\pgfqpoint{0.031899in}{-0.120281in}}{\pgfqpoint{0.062496in}{-0.107608in}}{\pgfqpoint{0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.107608in}{-0.062496in}}{\pgfqpoint{0.120281in}{-0.031899in}}{\pgfqpoint{0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{0.120281in}{0.031899in}}{\pgfqpoint{0.107608in}{0.062496in}}{\pgfqpoint{0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{0.062496in}{0.107608in}}{\pgfqpoint{0.031899in}{0.120281in}}{\pgfqpoint{0.000000in}{0.120281in}}% +\pgfpathcurveto{\pgfqpoint{-0.031899in}{0.120281in}}{\pgfqpoint{-0.062496in}{0.107608in}}{\pgfqpoint{-0.085052in}{0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.107608in}{0.062496in}}{\pgfqpoint{-0.120281in}{0.031899in}}{\pgfqpoint{-0.120281in}{0.000000in}}% +\pgfpathcurveto{\pgfqpoint{-0.120281in}{-0.031899in}}{\pgfqpoint{-0.107608in}{-0.062496in}}{\pgfqpoint{-0.085052in}{-0.085052in}}% +\pgfpathcurveto{\pgfqpoint{-0.062496in}{-0.107608in}}{\pgfqpoint{-0.031899in}{-0.120281in}}{\pgfqpoint{0.000000in}{-0.120281in}}% +\pgfpathclose% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.134504in}{0.131033in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.134504in}{1.378967in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{0.775000in}{0.755000in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.415496in}{0.131033in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsys@transformshift{1.415496in}{1.378967in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.134504in,y=0.131033in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 1}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.134504in,y=1.378967in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 2}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=0.775000in,y=0.755000in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 3}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.415496in,y=0.131033in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 4}% +\end{pgfscope}% +\begin{pgfscope}% +\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{textcolor}% +\pgfsetfillcolor{textcolor}% +\pgftext[x=1.415496in,y=1.378967in,,]{\color{textcolor}\sffamily\fontsize{12.000000}{14.400000}\selectfont 5}% +\end{pgfscope}% +\end{pgfpicture}% +\makeatother% +\endgroup% diff --git a/beamers/networksAndValue/images/trust_research.png b/beamers/networksAndValue/images/trust_research.png new file mode 100644 index 0000000..4ef2714 Binary files /dev/null and b/beamers/networksAndValue/images/trust_research.png differ diff --git a/readings/podolny.pdf b/readings/podolny.pdf new file mode 100644 index 0000000..eaf3b70 Binary files /dev/null and b/readings/podolny.pdf differ diff --git a/readings/singer_et_al.pdf b/readings/singer_et_al.pdf new file mode 100644 index 0000000..019f156 Binary files /dev/null and b/readings/singer_et_al.pdf differ diff --git a/readings/uzzi_dunlap.pdf b/readings/uzzi_dunlap.pdf new file mode 100644 index 0000000..2f2b5b6 Binary files /dev/null and b/readings/uzzi_dunlap.pdf differ