-#LyX 1.6.5svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.2 created this file. For more info see http://www.lyx.org/
+\lyxformat 506
\begin_document
\begin_header
+\save_transient_properties true
+\origin /systemlyxdir/examples/
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-
+\font_sf_scale 100 100
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+\bibtex_command bibtex
+\index_command default
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-\use_amsmath 1
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\cite_engine basic
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+\index Index
+\shortcut idx
+\color #008000
+\end_index
\secnumdepth 2
\tocdepth 2
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-\defskip medskip
+\paragraph_indentation default
\quotes_language english
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\tracking_changes false
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-\author ""
-\author ""
+\html_math_output 0
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+\html_be_strict false
\end_header
\begin_body
\begin_layout Plain Layout
\series bold
-Important note:
+Note
\series default
- The menu
-\family sans
-Insert\SpecialChar \menuseparator
-Hyperlinks
-\family default
- and the
+: To be able to view your file as PDF you must have the \SpecialChar LaTeX
+-package
\family sans
-PDF properties
+fpl
\family default
- in the
-\family sans
-Document\SpecialChar \menuseparator
-Settings
-\family default
- menu cannot be used for tufte document classes!
+ installed to your \SpecialChar LaTeX
+ system.
+ If you are using MiK\SpecialChar TeX
+, you will automatically be asked to install this package
+ when previewing your file, if you are using \SpecialChar TeX
+Live, use \SpecialChar TeX
+Live's package manager.
+\end_layout
+
+\begin_layout Plain Layout
+
+\series bold
+Note 2
+\series default
+: If you wish to compile to PDF with plain \SpecialChar LaTeX
+ (instead of pdf\SpecialChar TeX
+), 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
\begin_layout Plain Layout
-http://code.google.com/p/tufte-latex
+https://tufte-latex.github.io/tufte-latex/
\end_layout
\end_inset
\emph default
field in
\family sans
-Document\SpecialChar \menuseparator
-Settings\SpecialChar \menuseparator
+Document\SpecialChar menuseparator
+Settings\SpecialChar menuseparator
Document Class
\family default
.
\emph default
field in
\family sans
-Document\SpecialChar \menuseparator
-Settings\SpecialChar \menuseparator
+Document\SpecialChar menuseparator
+Settings\SpecialChar menuseparator
Document Class
\family default
.
\emph default
slider in
\family sans
-Document\SpecialChar \menuseparator
-Settings\SpecialChar \menuseparator
+Document\SpecialChar menuseparator
+Settings\SpecialChar menuseparator
Numbering & TOC
\family default
to the very right (as done in this document).
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
status open
\begin_layout Plain Layout
\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"
height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
status open
\begin_layout Plain Layout
\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
-width "100col%"
+use_makebox 0
+width "100line%"
special "none"
height "1in"
height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
status open
\begin_layout Plain Layout
-Imagine a photograph of a squirrel stretched out on its side in this box.
- One of the bugs in my layout is that this only works with pictures, not
- with frames around minipages, the way it's set up here.
+Imagine your favorite photograph of a squirrel inside this box instead of
+ this boring text.
\end_layout
\end_inset
+\begin_inset VSpace defskip
+\end_inset
+
+
\end_layout
\begin_layout Plain Layout
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
A full-width figure.
\family default
inset directly; you'll find it in the
\family sans
-Insert\SpecialChar \menuseparator
+Insert\SpecialChar menuseparator
Custom Insets
\family default
menu.
\family default
character style (
\family sans
-Edit\SpecialChar \menuseparator
-TextStyle\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
+TextStyle\SpecialChar menuseparator
NewThought
\family default
).
status open
\begin_layout Plain Layout
-Small Caps
+small caps
\end_layout
\end_inset
-, the letterspacing---that is, the spacing between the letters---should
- be increased slightly.
+, the letterspacing—that is, the spacing between the letters—should be increased
+ slightly.
\begin_inset CommandInset citation
LatexCommand cite
key "Bringhurst2005"
\emph default
character style (
\family sans
-Edit\SpecialChar \menuseparator
-TextStyle\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
+TextStyle\SpecialChar menuseparator
AllCaps
\family default
) has proper letterspacing for strings of
\emph default
character style (
\family sans
-Edit\SpecialChar \menuseparator
-TextStyle\SpecialChar \menuseparator
+Edit\SpecialChar menuseparator
+TextStyle\SpecialChar menuseparator
SmallCaps
\family default
) has letterspacing for
The complete list of references may also be printed automatically by using
\family sans
-Insert\SpecialChar \menuseparator
-Lists/TOC\SpecialChar \menuseparator
-BibTeX
+Insert\SpecialChar menuseparator
+Lists/TOC\SpecialChar menuseparator
+Bib\SpecialChar TeX
+
\begin_inset space ~
\end_inset
(see the end of this document for an example.) If you do not want to print
a bibliography at the end of your document, place the
\family sans
-BibTeX
+Bib\SpecialChar TeX
+
\begin_inset space ~
\end_inset
Bibliography
\family default
- inset inside a LyX note and use the LaTeX command
+ inset inside a \SpecialChar LyX
+ note and use the \SpecialChar LaTeX
+ command
\family typewriter
\backslash
\end_layout
\begin_layout Chapter
-Calculation of Volume: Sections 2.12--2.13
+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"
height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
status open
\begin_layout Plain Layout
\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"
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height_special "totalheight"
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+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
status open
\begin_layout Plain Layout
\end_inset
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
.
Since height multiplied by width was the area of each rectangle, we summed
these areas and rewrote this as
-\begin_inset Formula $\int\, f(x)\, dx$
+\begin_inset Formula $\int\,f(x)\,dx$
\end_inset
, or, in this specific case,
-\begin_inset Formula $\int\,\sqrt{x}\, dx$
+\begin_inset Formula $\int\,\sqrt{x}\,dx$
\end_inset
.
\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*}
-\int_{0}^{4}\,\pi x\, dx & = & \pi\int_{0}^{4}\, x\, dx\\
+\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"
height_special "totalheight"
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+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
status open
\begin_layout Plain Layout
\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*}
-V_{washer} & = & A_{washer}\, dx\\
- & = & \pi\left(f^{2}(x)-g^{2}(x)\right)\, dx\end{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
+V_{washer} & = & A_{washer}\,dx\\
+ & = & \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"
height_special "totalheight"
+thickness "0.4pt"
+separation "3pt"
+shadowsize "4pt"
+framecolor "black"
+backgroundcolor "none"
status open
\begin_layout Plain Layout
\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*}
-\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)\\
+\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