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2026-08-01 14:59:58 +00:00

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<?xml version="1.0" encoding="UTF-8"?>
<!-- The docinfo block is the analogue to the latex preamble -->
<!-- This is where you can define macros and other book-wide -->
<!-- settings. -->
<docinfo xmlns:xi="http://www.w3.org/2001/XInclude">
<!-- A unique name for the book in a catalog; for example, see https://pretextbook.org/catalog.html and https://runestone.academy/ns/books/index. It contains a simple lowercase string with no dashes or other special characters. See https://pretextbook.org/doc/guide/html/sec-publishing-to-runestone-academy.html for more information. -->
<!-- <document-id>changeme</document-id> -->
<!-- A brief description for the book in a catalog; see the links above. The @shelf is used only when publishing to Runestone; see https://runestone.academy/ns/books/index for a list of valid values. You must copy these @shelf names exactly, including capitalization. -->
<!-- <blurb shelf="AP Computer Science"> A simple string (no markup is allowed) to describe your book. </blurb> -->
<!-- The next three lines are likely for mature projects only: -->
<!-- <brandlogo url="" source="images/cover.png"/> -->
<!-- <covers front="images/front.pdf" back="images/back.pdf"/> -->
<!-- <document-id>unique-book-id</document-id> -->
<!-- macros for defining latex math shortcuts. It is good practice -->
<!-- to define these semantically, so that the macro relates to what-->
<!-- it defines. -->
<macros>
<!-- common number sets -->
\newcommand{\N}{\mathbb N}
\newcommand{\Z}{\mathbb Z}
\newcommand{\Q}{\mathbb Q}
\newcommand{\R}{\mathbb R}
<!-- named distributions -->
\DeclareMathOperator{\Bin}{Bin}
\DeclareMathOperator{\Geom}{Geom}
\DeclareMathOperator{\Poiss}{Poiss}
\DeclareMathOperator{\Exp}{Exp}
\DeclareMathOperator{\Norm}{N}
<!-- other notation -->
\DeclareMathOperator{\E}{E}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Cov}{Cov}
\renewcommand{\L}{\mathcal{L}}
<!-- to indicate an estimator -->
\newcommand{\est}{\widehat}
</macros>
<!-- If you put any latex-image elements you can include preambles -->
<!-- for those in the next element. -->
<latex-image-preamble>
\usepackage{tikz, pgfplots}
\usetikzlibrary{positioning,matrix,arrows,calc}
\usetikzlibrary{shapes,decorations,shadows,fadings,patterns}
\usetikzlibrary{decorations.markings,decorations.pathreplacing}
</latex-image-preamble>
<!-- It is possible to rename elements: -->
<!-- <rename element="assemblage" xml:lang="en-US">Summary</rename> -->
<!-- Specify the default type of cross reference: -->
<!-- <cross-references text="type-global" /> -->
</docinfo>