From 4cd35f229d932a7b2f6b3bab6f8a6626b4b7a6ff Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Tue, 29 Sep 2020 13:58:49 +0200 Subject: [PATCH] mp2: added template --- mp2/Makefile | 14 + .../A_SymPosDef.mat | Bin 0 -> 140091 bytes .../householder/README.m | 43 + .../householder/drawit.m | 28 + .../householder/graph.ps | 1036 +++++++++++++++++ .../householder/housegraph.mat | Bin 0 -> 35536 bytes .../householder/runme.m | 190 +++ mp2/Project.2.Maggioni.Claudio/karate.adj | 34 + mp2/Project.2.Maggioni.Claudio/pagerank.m | 65 ++ mp2/Project.2.Maggioni.Claudio/test.m | 27 + mp2/assignment.sty | 322 +++++ mp2/project.2.Maggioni.Claudio.pdf | Bin 0 -> 226220 bytes mp2/project.2.Maggioni.Claudio.tex | 50 + mp2/usi_inf.pdf | Bin 0 -> 34678 bytes 14 files changed, 1809 insertions(+) create mode 100644 mp2/Makefile create mode 100644 mp2/Project.2.Maggioni.Claudio/A_SymPosDef.mat create mode 100644 mp2/Project.2.Maggioni.Claudio/householder/README.m create mode 100644 mp2/Project.2.Maggioni.Claudio/householder/drawit.m create mode 100644 mp2/Project.2.Maggioni.Claudio/householder/graph.ps create mode 100644 mp2/Project.2.Maggioni.Claudio/householder/housegraph.mat create mode 100644 mp2/Project.2.Maggioni.Claudio/householder/runme.m create mode 100644 mp2/Project.2.Maggioni.Claudio/karate.adj create mode 100644 mp2/Project.2.Maggioni.Claudio/pagerank.m create mode 100644 mp2/Project.2.Maggioni.Claudio/test.m create mode 100644 mp2/assignment.sty create mode 100644 mp2/project.2.Maggioni.Claudio.pdf create mode 100644 mp2/project.2.Maggioni.Claudio.tex create mode 100644 mp2/usi_inf.pdf diff --git a/mp2/Makefile b/mp2/Makefile new file mode 100644 index 0000000..320057a --- /dev/null +++ b/mp2/Makefile @@ -0,0 +1,14 @@ +filename=template + +pdf: + pdflatex ${filename} + bibtex ${filename}||true + pdflatex ${filename} + make clean + +read: + evince ${filename}.pdf & + + +clean: + rm -f *.out *.log *.bbl *.blg *.aux ${filename}.log ${filename}.ps 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draw lines connecting their name with the names +% of all their coauthors. The diagram grew denser throughout the week; at +% the end it was a graph with 104 vertices (or people) and 211 edges. +% +% A graph is a sparse matrix, so just for fun we typed the graph into Matlab +% and looked at it in a few different ways. You can say "runme" to Matlab +% to see the results. +% +% The original flip chart is now framed on the wall of Nick's office at +% Cornell. He promises to bring it along to Householder 2023. +% +% - John Gilbert, Cleve Moler, Nick Trefethen +% with thanks to Rob Schreiber, Barry Smith, and 99 others. +% +% ---------------------------------------------------------------------- +% List of files in matlab/householder: +% +% README.m This file. +% +% runme.m Matlab script to show off the matrix and the graph. +% +% drawit.m Matlab script just to draw the graph. +% +% graph.ps Black-and-white postscript picture of the graph. +% +% housegraph.mat The raw data, as follows: +% +% A is the 104x104 adjacency matrix of the graph. +% xy is the array of vertex coordinates for the picture. +% name is a character matrix with 104 rows, each row giving the +% name of the person associated with a vertex. +% Every person's name is also a scalar variable whose value is +% that person's vertex number; for example, +% Stewart = 77 and name(77,:) = 'Stewart'. +% prcm is a permutation (based on reverse Cuthill-McKee) +% to reorder the graph for the picture. + +help README diff --git a/mp2/Project.2.Maggioni.Claudio/householder/drawit.m b/mp2/Project.2.Maggioni.Claudio/householder/drawit.m new file mode 100644 index 0000000..076f08d --- /dev/null +++ b/mp2/Project.2.Maggioni.Claudio/householder/drawit.m @@ -0,0 +1,28 @@ +% DRAWIT Script to plot the graph of coauthors from Householder 93. + +if ~exist('prcm') + load housegraph; +end; + +% A is the adjacency matrix. +% prcm is a permutation; any permutation could be substituted. +% name is the vector of people's names. +% xy is just xy coords of points on the unit circle (and the origin). + +Aperm = A(prcm,prcm); +nameperm = name(prcm,:); +nfolks = max(size(A)); + +clf +gplot(Aperm,xy); +axis off; +x = xy(:,1) * 1.05; +y = xy(:,2) * 1.05; +x(1) = .08; % Put names(1) in the center of the circle. +y(1) = .06; +h = text(x,y,nameperm); + +for k = 2:nfolks % Shrink the font for the other names, and rotate them. + set(h(k),'fontsize',10); + set(h(k),'rotation',180/pi*atan2(y(k),x(k))); +end; diff --git a/mp2/Project.2.Maggioni.Claudio/householder/graph.ps b/mp2/Project.2.Maggioni.Claudio/householder/graph.ps new file mode 100644 index 0000000..23f170b --- /dev/null +++ b/mp2/Project.2.Maggioni.Claudio/householder/graph.ps @@ -0,0 +1,1036 @@ +%!PS-Adobe-2.0 +%%Creator: MATLAB, The Mathworks, Inc. +%%Title: MATLAB graph +%%CreationDate: 06/17/93 22:11:31 +%%DocumentFonts: Times-Roman +%%DocumentNeededFonts: Times-Roman +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%Pages: (atend) +%%BoundingBox: (atend) +%%EndComments + +%%BeginProlog + +% MathWorks dictionary +/MathWorks 120 dict begin + +% definition operators +/bdef {bind def} bind def +/ldef {load def} bind def +/xdef {exch def} bdef +/xstore {exch store} bdef + +% operator abbreviations +/c /clip ldef +/cc /concat ldef +/cp /closepath ldef +/gr /grestore ldef +/gs /gsave ldef +/mt /moveto ldef +/np /newpath ldef +/cm /currentmatrix ldef +/sm /setmatrix ldef 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temp2 = c(j); + fprintf(' %3.0f %8.4f %4.0f %4.0f %s\n', j,x(j),full(temp1),full(temp2),U{j}) + k = k+1; + end +end diff --git a/mp2/Project.2.Maggioni.Claudio/test.m b/mp2/Project.2.Maggioni.Claudio/test.m new file mode 100644 index 0000000..24d5904 --- /dev/null +++ b/mp2/Project.2.Maggioni.Claudio/test.m @@ -0,0 +1,27 @@ +clear; +n = 1000; +x = randperm(n); +gs = 450; + +group1 = x(1:gs); +group2 = x(gs+1:end); + +p_group1 = 0.5; +p_group2 = 0.4; +p_between = 0.1; + +A(group1, group1) = rand(gs, gs) < p_group1; +A(group2, group2) = rand(n-gs, n-gs) < p_group2; +A(group1, group2) = rand(gs, n-gs) < p_between; +% no group2, group1 needed since we'll force the matrix to be symmetric + +A = triu(A,1); % upper triangular part of A without diagonal +A = A + A'; % make it symmetric +deg = sum(A); +L = diag(deg) - A; +[V, D] = eig(L); +display(D(2,2)); +plot(sort(V(:,2)), '.-'); + +[ignore, p] = sort(V(:,2)); +spy(A(p,p)); \ No newline at end of file diff --git a/mp2/assignment.sty b/mp2/assignment.sty new file mode 100644 index 0000000..d50da15 --- /dev/null +++ b/mp2/assignment.sty @@ -0,0 +1,322 @@ +%% % for readable pdf files +%% \usepackage{times} +\usepackage{ifthen} +\usepackage{comment} +\usepackage[utf8]{inputenc} +%% \usepackage{enumerate} +%% \usepackage{alltt} +%% \usepackage{xspace} +%% \usepackage{wrapfig} +\usepackage{graphics} +\usepackage{graphicx} +\usepackage{epstopdf} +% \usepackage{amsmath} +%% \usepackage{mathtools} +\usepackage{amssymb} +%\usepackage[xetex,bookmarks,pdfencoding=unicode,colorlinks=true,citecolor=blue,linkcolor=black,urlcolor=blue]{hyperref} +\usepackage[bookmarks,pdfencoding=unicode,colorlinks=true,citecolor=blue,linkcolor=black,urlcolor=blue]{hyperref} +% \usepackage{nohyperref} +%\usepackage{url} +%% \usepackage{fancyvrb} +\usepackage{verbatim} +\usepackage{listingsutf8} +\usepackage{color} +%% \usepackage{textcomp} +%% \usepackage{cmap} +%% \usepackage[colorinlistoftodos]{todonotes} +%% \usepackage{lineno} +%% \usepackage{tocloft} +%% \usepackage{marginnote} +\usepackage{geometry} +\usepackage{booktabs} +%% \usepackage{longtable} +%% \usepackage{etoolbox} +%% \usepackage{titlesec} +\usepackage[font=small,labelfont=it,labelsep=period,justification=centering]{caption} +\usepackage{array} +%% %\usepackage{tabularx} +%% \usepackage[titletoc]{appendix}% + +\pagestyle{plain} +\voffset -5mm + +\oddsidemargin 0mm +\evensidemargin -11mm +\marginparwidth 2cm +\marginparsep 0pt + +\topmargin 0mm +\headheight 0pt +\headsep 0pt +\topskip 0pt + +%\footheight 0pt +%\footskip 0pt +\textheight 255mm +\textwidth 165mm + +% ---------------------------------------- +% +% II. Macros +% +% ---------------------------------------- + +\let\gaga=\phi \let\phi=\varphi \let\varphi=\gaga +\let\gaga=\theta \let\theta=\vartheta \let\vartheta=\gaga +\let\gaga=\epsilon \let\epsilon=\varepsilon \let\varepsilon=\gaga + +\newcommand\code[1]{ {\footnotesize \texttt{#1}} } + +\newcommand\isassignment {false} +\newcommand{\setassignment}{\renewcommand\isassignment {true}} +\newcommand{\ifassignment}[1]{\ifthenelse{\boolean{\isassignment}}{#1}{}} +\newcommand{\ifnotassignment}[1]{\ifthenelse{\boolean{\isassignment}}{}{#1}} +\newcommand{\ignore}[1]{} +\newcommand{\duedate} {} +\newcommand{\setduedate}[1]{% +\renewcommand\duedate {Due date:~ #1} +} +\newcommand{\assignmentpolicy}{ +\bigskip +\bigskip +\begin{table}[h] +\begin{center} +\scalebox{0.8} {% +\begin{tabular}{|p{0.02cm}p{16cm}|} +\hline +&\\ +\multicolumn{2}{|c|}{\Large\textbf{Submission instructions}}\\ +\multicolumn{2}{|c|}{\large\textbf{(Please, notice that following instructions are mandatory: }}\\ +\multicolumn{2}{|c|}{\large\textbf{submissions that don't comply with, won't be considered)}}\\ +&\\ +\textbullet & Assignments must be submitted to Moodle (i.e. in electronic format).\\ +\textbullet & Provide both executable package (single .class or .jar file) and sources (.java files). If you are using non-sdk libraries, please add them in the file. Sources must be organized in packages called:\\ +\multicolumn{2}{|c|}{\textit{ch.usi.inf.ncc12.assignment$<$assignmentNumber$>$.exercise$<$exerciseNumber$>$.$<$name$>$.$<$surname$>$}}\\ +& and the jar file must be called:\\ +\multicolumn{2}{|c|}{\textit{assignment$<$AssignmentNumber$>$.$<$Name$>$.$<$Surname$>$.jar}}\\ +& Projects exported directly from Eclipse would be much appreciated (Please, be sure that you are including also the sources in the jar file).\\ +\textbullet & The produced files (one pdf and one jar file) must be collected into a single archive file (.zip) named:\\ +\multicolumn{2}{|c|}{\textit{assignment$<$AssignmentNumber$>$.$<$Name$>$.$<$Surname$>$.zip}}\\ +\hline +\end{tabular} +} +\end{center} +\end{table} +} +\newcommand{\ie}{\textit{i.e.,}\xspace} +\newcommand{\eg}{\textit{e.g.,}\xspace} +\newcommand{\etal}{\textit{et al.}\xspace} + +\newcommand\nat{{\Bbb N}} +\def\int{{\Bbb Z}} +\newcommand\rat{{\Bbb Q}} +\newcommand\real{{\Bbb R}} +\newcommand\calD{{\cal D}} +\newcommand\calM{{\cal M}} +\newcommand\calL{{\cal L}} +\newcommand\Gone{\bfmath{G1}}% +\newcommand\Gonei{\bfmath{G1i}}% +\newcommand\Goneai{\bfmath{G1(i)}}% +\newcommand\Gtwo{\bfmath{G2}}% +\newcommand\Gtwoi{\bfmath{G2i}}% +\newcommand\Gtwoai{\bfmath{G2(i)}}% +\newcommand\Gthree{\bfmath{G3}}% +\newcommand\Gthreei{\bfmath{G3i}}% +\newcommand\Gthreeai{\bfmath{G3(i)}}% +\newcommand\True{\bfmath{True}} +\newcommand\False{\bfmath{False}} +\newcommand\FV{\itmath{FV}} +% +% mathrel's +% +\def\maps{\mathrel{:}} +\def\andthen{\mathrel{;}} +\def\suchthat{\mathrel{:}} +\def\defid{\mathrel{:\equiv}} +\def\defeq{\mathrel{:=}} +\def\eqdef{\mathrel{=:}} +\def\gewenn{\leftrightarrow} +\newcommand\tnt{\mathrel{\supset}} +\newcommand\pr{\mathrel{\vdash}}% +\def\prld#1#2{\mathrel{\vrule width 0.3pt height 8pt depth 2pt\mkern-2mu\textstyle{\hskip0.5ex\raise2pt\hbox{$\scriptstyle#1$}\hskip0.1ex\over\hskip0.5ex#2\hskip0.1ex}}} +\def\defGewenn{\mathrel{{:}{\Longleftrightarrow}}} +\def\Gewenn{\mathrel{\Longleftrightarrow}} +\def\To{\mathrel{\Longrightarrow}} +\def\defsimeq{\mathrel{:\simeq}} +\def\redone{\mathrel{\vartriangleright_1}} +\def\red{\mathrel{\vartriangleright}} +% +% mathbin's +% +\newlength{\lminus} +\settowidth{\lminus}{\hbox{$-$}} +\def\dotmin{\mathbin{\vbox{\lineskip0pt\baselineskip0pt\hbox to\lminus{\hfill.\hfill}\vglue-0.55ex\hbox{$-$}}}} + +% +% mathop's +% +\def\pow{\mathop{\rm Pow}} +\def\dom{\mathop{\rm dom}} +\def\ran{\mathop{\rm ran}} +\def\seq#1{\langle #1\rangle} +\def\Seq{\mathop{\it Seq}} +\def\lh{\mathop{\it lh}} + +% +% points +% +\newcommand{\punkte}[1]{\hspace{1ex}\emph{\mdseries\hfill(#1~\ifcase#1{Points}\or{Points}\else{Points}\fi)}} + +% ---------------------------------------------------------------------- +\newcommand\secRule{\vspace{-4mm} \rule{.5\textwidth}{4pt}\vspace{-5mm}} +\newcommand{\vf}{\vspace{7mm plus7mm minus1mm}} +\newcommand{\compl}{{\rm c}} +\newcommand{\blank}{\hspace{0.5em}} +\newcommand\nyt{\rule{0pt}{0pt}} +\newcommand{\emspace}{\hspace{1em}} + +\newcounter{countaufg} + +\newenvironment{exercise}[1]{\addtocounter{countaufg}{1}% + \bigskip% + \subsection*{Exercise \arabic{countaufg} - %\series{m} + \selectfont #1% + \makeatother}% + \bigskip% + } + +\newenvironment{optexercise}[1]{\addtocounter{countaufg}{1}% + \bigskip% + \subsection*{Exercise \arabic{countaufg} (optional) - %\series{m} + \selectfont #1% + \makeatother}% + \bigskip% + }% + +\newcommand\hint[1]{\emph{Hint :} #1} +\newcommand\note[1]{\emph{Note :} #1} + +\newcommand\serieheader[6]{ +\thispagestyle{empty}% +\begin{flushleft} +\includegraphics[width=0.4\textwidth]{usi_inf} +\end{flushleft} + \noindent% + {\large\ignorespaces{\textbf{#1}}\hspace{\fill}\ignorespaces{ \textbf{#2}}}\\ \\% + {\large\ignorespaces #3 \hspace{\fill}\ignorespaces #4}\\ + {\large\ignorespaces \empty{}\hspace{\fill}\ignorespaces \duedate}\\ + \noindent% + \bigskip + \hrule\par\bigskip\noindent% + \bigskip {\ignorespaces {\Large{\textbf{#5}}} + \hspace{\fill}\ignorespaces \large \ifthenelse{\boolean{\isassignment}}{ }{\textbf{\Large }}} + \hrule\par\bigskip\noindent% \linebreak + } + +\makeatletter +\def\enumerateMod{\ifnum \@enumdepth >3 \@toodeep\else + \advance\@enumdepth \@ne + \edef\@enumctr{enum\romannumeral\the\@enumdepth}\list + {\csname label\@enumctr\endcsname}{\usecounter + {\@enumctr}%%%? the following differs from "enumerate" + \topsep0pt% + \partopsep0pt% + \itemsep0pt% + %%%? end(differs) + \def\makelabel##1{\hss\llap{##1}}}\fi} +\let\endenumerateMod =\endlist +\makeatother + + +\usepackage{etex} +\usepackage{type1ec} +\usepackage[T2A]{fontenc} +\usepackage{textcomp} +%\usepackage[utf8]{inputenc} + +%% \usepackage{polyglossia} +%% %\defaultfontfeatures{Scale=MatchLowercase, Mapping=tex-text} +%% \setmainfont[Scale=MatchLowercase, Mapping=tex-text]{Times New Roman} +%% \newfontfamily\cyrillicfont[Scale=MatchLowercase, Mapping=tex-text]{Times New Roman} +%% \setsansfont[Scale=MatchLowercase, Mapping=tex-text]{Times New Roman} +%% \setmonofont{Courier New} +%% +%% \setdefaultlanguage{english} +%% \selectlanguage{english} + +\geometry{inner=25mm, outer=25mm, top=35mm, bottom=35mm, headheight=25mm, headsep=6.17mm} +\textwidth=0.8\paperwidth +\linespread{1.2} + +%% \font\smallfont="Times New Roman" at 9 pt +%% \font\chapterfont="Times New Roman" at 16 pt +%% \font\chaptertitlefont="Times New Roman" at 18 pt +%% \font\sectionfont="Times New Roman Bold" at 11 pt +%% \font\subsectionfont="Times New Roman" at 11 pt +%% \font\headerfont="Times New Roman" at 9 pt +%% \font\headerboldfont="Times New Roman Bold" at 9 pt +%% \font\footerboldfont="Times New Roman Bold" at 10 pt +%% \titleformat{\chapter}[display]{\chapterfont} +%% {\chaptertitlename\ \thechapter}{18pt}{\chaptertitlefont} +%% \titleformat{\section}{\sectionfont}{\thesection.}{0.5em}{} +%% \titleformat{\subsection}{\subsectionfont}{\thesubsection.}{0.5em}{} +%% \titleformat{\subsubsection}{\subsectionfont}{\thesubsubsection.}{0.5em}{} +%% \titleformat{\figure}{}{\thefigure\.}{0.5em}{} + +\usepackage{sectsty} + +%% \font\smallfont="Times New Roman" at 9 pt +%% \font\chapterfont="Times New Roman" at 16 pt +\chapterfont{\fontsize{16}{20}\selectfont} +%% \font\chaptertitlefont="Times New Roman" at 18 pt +\chaptertitlefont{\fontsize{18}{22}\selectfont} +%% \font\sectionfont="Times New Roman Bold" at 11 pt +\sectionfont{\fontsize{11}{14}\selectfont} +%% \font\subsectionfont="Times New Roman" at 11 pt +\subsectionfont{\fontsize{9}{11}\selectfont} +%% \font\headerfont="Times New Roman" at 9 pt +%% \font\headerboldfont="Times New Roman Bold" at 9 pt +%% \font\footerboldfont="Times New Roman Bold" at 10 pt +%% \titleformat{\chapter}[display]{\chapterfont} +%% {\chaptertitlename\ \thechapter}{18pt}{\chaptertitlefont} +%% \titleformat{\section}{\sectionfont}{\thesection.}{0.5em}{} +%% \titleformat{\subsection}{\subsectionfont}{\thesubsection.}{0.5em}{} 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