ncg

commit 7b16cc057d2ae6187ba3614479303148b5d440f8
parent 49238ee2daaba327d0c814407ac67e7518958d1c
Author: miksa234 <milutin@popovic.xyz>
Date:   Wed, 24 Mar 2021 16:10:00 +0100

started typing out week6

Diffstat:
A
questions
 | 
1
+
A
src/week6.tex
 | 
89
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2 files changed, 90 insertions(+), 0 deletions(-)
diff --git a/questions b/questions
@@ -0,0 +1 @@
+Question 1:https://math.stackexchange.com/questions/1883669/clarification-of-the-notion-faithful-of-representations-of-c-algebrasA
diff --git a/src/week6.tex b/src/week6.tex
@@ -0,0 +1,89 @@
+\documentclass[a4paper]{article}
+
+\usepackage[T1]{fontenc}
+\usepackage[utf8]{inputenc}
+
+\usepackage{mathptmx}
+
+\usepackage{subcaption}
+\usepackage[shortlabels]{enumitem}
+\usepackage{amsmath,amssymb}
+\usepackage{amsthm}
+\usepackage{bbm}
+\usepackage{graphicx}
+\usepackage[colorlinks=true,naturalnames=true,plainpages=false,pdfpagelabels=true]{hyperref}
+\usepackage[parfill]{parskip}
+
+\usepackage{tikz}
+\usetikzlibrary{patterns,decorations.pathmorphing,positioning}
+
+\usepackage[framemethod=TikZ]{mdframed}
+
+\tikzstyle{titlered} =
+    [draw=black, thick, fill=white,%
+        text=black, rectangle,
+        right, minimum height=.7cm]
+
+\newcounter{exercise}
+
+\renewcommand*\theexercise{Exercise~\arabic{exercise}}
+
+\makeatletter
+\mdfdefinestyle{exercisestyle}{%
+    outerlinewidth=1em,%
+    outerlinecolor=white,%
+    leftmargin=-1em,%
+    rightmargin=-1em,%
+    middlelinewidth=1.2pt,%
+    roundcorner=5pt,%
+    linecolor=black,%
+    backgroundcolor=blue!5,
+    innertopmargin=1.2\baselineskip,
+    skipabove={\dimexpr0.5\baselineskip+\topskip\relax},
+    skipbelow={-1em},
+    needspace=3\baselineskip,
+    frametitlefont=\sffamily\bfseries,
+    settings={\global\stepcounter{exercise}},
+    singleextra={%
+        \node[titlered,xshift=1cm] at (P-|O) %
+            {~\mdf@frametitlefont{\theexercise}~};},%
+    firstextra={%
+            \node[titlered,xshift=1cm] at (P-|O) %
+                    {~\mdf@frametitlefont{\theexercise}~};},
+}
+\makeatother
+
+\newenvironment{MyExercise}%
+{\begin{mdframed}[style=exercisestyle]}{\end{mdframed}}
+
+\theoremstyle{definition}
+\newtheorem{definition}{Definition}
+
+\theoremstyle{definition}
+\newtheorem{question}{Question}
+
+\theoremstyle{definition}
+\newtheorem{example}{Example}
+
+\theoremstyle{theorem}
+\newtheorem{theorem}{Theorem}
+
+\theoremstyle{theorem}
+\newtheorem{lemma}{Lemma}
+
+\newtheorem*{idea}{Proof Idea}
+
+
+\title{Notes on \\ Noncommutative Geometry and Particle Physics}
+\author{Popovic Milutin}
+\date{Week 6: 19.03 - 26.03}
+
+\begin{document}
+
+\maketitle
+\tableofcontents
+
+\section{Finite Real Noncommutative Spaces}
+\subsection{Finite Real Spectral Triples}
+
+\end{document}