-#LyX 1.6.5svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.1 created this file. For more info see http://www.lyx.org/
+\lyxformat 474
\begin_document
\begin_header
\textclass tufte-book
\use_default_options true
+\maintain_unincluded_children false
\language english
+\language_package default
\inputencoding auto
+\fontencoding global
\font_roman default
\font_sans default
\font_typewriter default
+\font_math auto
\font_default_family default
+\use_non_tex_fonts false
\font_sc false
\font_osf false
\font_sf_scale 100
\font_tt_scale 100
-
\graphics default
+\default_output_format pdf2
+\output_sync 0
+\bibtex_command bibtex
+\index_command default
\paperfontsize default
\spacing single
\use_hyperref true
\pdf_pdfusetitle true
\papersize default
\use_geometry true
-\use_amsmath 1
-\use_esint 1
+\use_package amsmath 1
+\use_package amssymb 1
+\use_package cancel 0
+\use_package esint 1
+\use_package mathdots 1
+\use_package mathtools 0
+\use_package mhchem 1
+\use_package stackrel 0
+\use_package stmaryrd 0
+\use_package undertilde 0
\cite_engine basic
+\cite_engine_type default
+\biblio_style plain
\use_bibtopic false
+\use_indices false
\paperorientation portrait
+\suppress_date false
+\justification true
+\use_refstyle 0
+\notefontcolor #0000ff
+\index Index
+\shortcut idx
+\color #008000
+\end_index
\secnumdepth 2
\tocdepth 2
\paragraph_separation indent
-\defskip medskip
+\paragraph_indentation default
\quotes_language english
\papercolumns 1
\papersides 1
\paperpagestyle default
\tracking_changes false
\output_changes false
-\author ""
-\author ""
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
\end_header
\begin_body
+\begin_layout Standard
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note
+\series default
+: To be able to view your file as PDF you must have the LaTeX-package
+\family sans
+fpl
+\family default
+ installed to your LaTeX system.
+ If you are using MiKTeX, you will automatically be asked to install this
+ package when previewing your file, if you are using TeXLive, use TeXLive's
+ package manager.
+\end_layout
+
+\begin_layout Plain Layout
+
+\series bold
+Note 2
+\series default
+: If you wish to compile to PDF with plain LaTeX (instead of pdfTeX), there
+ is currently a bug in the Tufte class that causes errors.
+ You can add the class option 'nols' (put this in the
+\begin_inset Quotes eld
+\end_inset
+
+Custom
+\begin_inset Quotes erd
+\end_inset
+
+ field of Document\SpecialChar \menuseparator
+Settings \SpecialChar \menuseparator
+Document Class) to get rid of the errors, but
+ this also removes letterspacing, an important part of the Tufte design.
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
\begin_layout Title
Tufte Examples
\end_layout
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
\end_inset
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
An ordinary figure float.
.
\end_layout
+\begin_layout Standard
+\begin_inset VSpace 5theight%
+\end_inset
+
+
+\end_layout
+
\begin_layout Standard
\begin_inset Float marginfigure
wide false
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
\end_inset
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
A margin figure.
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\series default
+ If you are using margin figures or tables you must use the default float
+ placement option in the document settings under
+\family sans
+Float
+\begin_inset space ~
+\end_inset
+
+Placement
+\family default
+.
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100line%"
special "none"
height "1in"
\end_layout
\begin_layout Plain Layout
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
A full-width figure.
status open
\begin_layout Plain Layout
-Small Caps
+small caps
\end_layout
\end_inset
Calculation of Volume: Sections 2.12–2.13
\end_layout
-\begin_layout Abstract
+\begin_layout Standard
Imagine taking a function like
\begin_inset Formula $y=\sqrt{x}$
\end_inset
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
\end_inset
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
\end_inset
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-V=hA\]
+\begin_inset Formula
+\[
+V=hA
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-A=\pi f^{2}(x)\]
+\begin_inset Formula
+\[
+A=\pi f^{2}(x)
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \pi\left(\sqrt{x}\right)^{2}\\
- & = & \pi x\end{eqnarray*}
+ & = & \pi x
+\end{eqnarray*}
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-V=\pi x\, dx\]
+\begin_inset Formula
+\[
+V=\pi x\, dx
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-V=\pi f^{2}(x)\, dx\]
+\begin_inset Formula
+\[
+V=\pi f^{2}(x)\, dx
+\]
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{equation}
-\int_{a}^{b}\,\pi f^{2}(x)\, dx\end{equation}
+\begin_inset Formula
+\begin{equation}
+\int_{a}^{b}\,\pi f^{2}(x)\, dx
+\end{equation}
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
\int_{0}^{4}\,\pi x\, dx & = & \pi\int_{0}^{4}\, x\, dx\\
& = & \pi\left.\left(\frac{x^{2}}{2}\right)\right|_{0}^{4}\\
& = & \pi\left(\frac{4^{2}}{2}-0\right)\\
- & = & 8\pi\end{eqnarray*}
+ & = & 8\pi
+\end{eqnarray*}
\end_inset
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
\end_inset
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
The functions
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A_{washer} & = & A_{cup}-A_{drill}\\
& = & \pi f^{2}(x)-\pi g^{2}(x)\\
- & = & \pi\left(f^{2}(x)-g^{2}(x)\right)\end{eqnarray*}
+ & = & \pi\left(f^{2}(x)-g^{2}(x)\right)
+\end{eqnarray*}
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
V_{washer} & = & A_{washer}\, dx\\
- & = & \pi\left(f^{2}(x)-g^{2}(x)\right)\, dx\end{eqnarray*}
+ & = & \pi\left(f^{2}(x)-g^{2}(x)\right)\, dx
+\end{eqnarray*}
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{equation}
-\int_{a}^{b}\,\pi\left(f^{2}(x)-g^{2}(x)\right)\, dx\end{equation}
+\begin_inset Formula
+\begin{equation}
+\int_{a}^{b}\,\pi\left(f^{2}(x)-g^{2}(x)\right)\, dx
+\end{equation}
\end_inset
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
\end_inset
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
The cup with a quadratic hole drilled down its length
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
\int_{0}^{4}\,\pi\left(\left(\sqrt{x}\right)^{2}-\left(\frac{x^{2}}{16}\right)\right)\, dx & = & \pi\int_{0}^{4}\,\left(x-\frac{x^{4}}{256}\right)\, dx\\
& = & \pi\left(\int_{0}^{4}\, x\, dx-\int_{0}^{4}\,\frac{x^{4}}{256}\, dx\right)\\
& = & \pi\left(\left.\left(\frac{x^{2}}{2}\right)\right|_{0}^{4}-\left.\left(\frac{x^{5}}{1280}\right)\right|_{0}^{4}\right)\\
& = & \pi\left(\left(\frac{4^{2}}{2}-0\right)-\left(\frac{4^{5}}{1280}-0\right)\right)\\
& = & \pi\left(8-0.8\right)\\
- & = & 7.2\pi\end{eqnarray*}
+ & = & 7.2\pi
+\end{eqnarray*}
\end_inset