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46 lines
1.3 KiB
TeX
46 lines
1.3 KiB
TeX
% !TeX program = pdflatex
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\documentclass{mathreport} % Uses our custom mathreport.cls
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% Load bibliography
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\addbibresource{references.bib}
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\usepackage{lipsum} % Just for the demo text
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% --- Document Metadata ---
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\title{\normalfont\scshape\Large The Geometry of Complex Systems}
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\author{\normalfont\itshape A. N. Other}
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\date{\small\today}
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\begin{document}
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\maketitle
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\begin{abstract}
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\noindent \small \textbf{\textit{Abstract.}} \lipsum[1][1-4]
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\end{abstract}
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\section{Introduction}
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This document uses a custom class file (\texttt{mathreport.cls}). This keeps the main file clean. The typography is set to Bringhurst's standards: wide margins, Palatino font, and old-style figures (e.g., 12345).
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\section{Mathematical Theory}
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We define our primary operator in the Hilbert space $\mathcal{H}$.
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\begin{definition}[Compact Operator]
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An operator $T: X \to Y$ is compact if $\overline{T(B_X)}$ is compact in $Y$.
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\end{definition}
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\begin{theorem}[Spectral Theorem]
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There exists an orthonormal basis of eigenvectors.
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\end{theorem}
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Consider the harmonic series shown in \cref{eq:harmonic}. The styling is handled entirely by the external class file.
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\begin{equation} \label{eq:harmonic}
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H_n = \sum_{k=1}^n \frac{1}{k} \approx \ln n + \gamma
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\end{equation}
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\section{Results and Discussion}
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\lipsum[2-4]
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\printbibliography
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\end{document}
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