-#LyX 1.6.5svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0 created this file. For more info see http://www.lyx.org/
+\lyxformat 413
\begin_document
\begin_header
\textclass tufte-book
\use_default_options true
+\maintain_unincluded_children false
\language english
+\language_package default
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\spacing single
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+\pdf_pdfusetitle true
\papersize default
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\use_amsmath 1
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+\use_mathdots 1
\cite_engine basic
\use_bibtopic false
+\use_indices false
\paperorientation portrait
+\suppress_date false
+\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
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\output_changes false
-\author ""
-\author ""
+\html_math_output 0
+\html_css_as_file 0
+\html_be_strict false
\end_header
\begin_body
\begin_layout Plain Layout
\series bold
-Important note:
+Note
\series default
- The menu
+: To be able to view your file as PDF you must have the LaTeX-package
\family sans
-Insert\SpecialChar \menuseparator
-Hyperlinks
-\family default
- and the
-\family sans
-PDF properties
-\family default
- in the
-\family sans
-Document\SpecialChar \menuseparator
-Settings
+fpl
\family default
- menu cannot be used for tufte document classes!
+ 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
\end_inset
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
.
\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
+\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"
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
status open
\begin_layout Plain Layout
-Small Caps
+small caps
\end_layout
\end_inset
\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"
has_inner_box 1
inner_pos "t"
use_parbox 0
+use_makebox 0
width "100col%"
special "none"
height "1in"
\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_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_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
projects / lyx.git / blobdiff