-#LyX 2.2 created this file. For more info see http://www.lyx.org/
-\lyxformat 504
+#LyX 2.4 created this file. For more info see https://www.lyx.org/
+\lyxformat 553
\begin_document
\begin_header
\save_transient_properties true
\language english
\language_package default
\inputencoding auto
-\fontencoding global
+\fontencoding auto
\font_roman "default" "default"
\font_sans "default" "default"
\font_typewriter "default" "default"
\font_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
+\use_microtype false
+\use_dash_ligatures false
\graphics default
\default_output_format pdf2
\output_sync 0
\bibtex_command bibtex
\index_command default
+\float_placement class
+\float_alignment class
\paperfontsize default
\spacing single
\use_hyperref true
\use_geometry true
\use_package amsmath 1
\use_package amssymb 1
-\use_package cancel 0
+\use_package cancel 1
\use_package esint 1
\use_package mathdots 1
-\use_package mathtools 0
+\use_package mathtools 1
\use_package mhchem 1
-\use_package stackrel 0
-\use_package stmaryrd 0
-\use_package undertilde 0
-\cite_engine basic
-\cite_engine_type default
+\use_package stackrel 1
+\use_package stmaryrd 1
+\use_package undertilde 1
+\cite_engine natbib
+\cite_engine_type authoryear
\biblio_style plain
\use_bibtopic false
\use_indices false
\suppress_date false
\justification true
\use_refstyle 0
+\use_minted 0
\notefontcolor #0000ff
\index Index
\shortcut idx
\tocdepth 2
\paragraph_separation indent
\paragraph_indentation default
-\quotes_language english
+\is_math_indent 0
+\math_numbering_side default
+\quotes_style english
+\dynamic_quotes 0
\papercolumns 1
\papersides 1
\paperpagestyle default
\series bold
Note
\series default
-: To be able to view your file as PDF you must have the \SpecialCharNoPassThru LaTeX
+: To be able to view your file as PDF you must have the \SpecialChar LaTeX
-package
\family sans
fpl
\family default
- installed to your \SpecialCharNoPassThru LaTeX
+ installed to your \SpecialChar LaTeX
system.
- If you are using MiK\SpecialCharNoPassThru TeX
-, you will automatically be asked to install this
- package when previewing your file, if you are using \SpecialCharNoPassThru TeX
-Live, use \SpecialCharNoPassThru TeX
-Live's
- package manager.
+ 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 \SpecialCharNoPassThru LaTeX
- (instead of pdf\SpecialCharNoPassThru TeX
-), there
- is currently a bug in the Tufte class that causes errors.
+: 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
\begin_layout Plain Layout
-http://code.google.com/p/tufte-latex
+https://tufte-latex.github.io/tufte-latex/
\end_layout
\end_inset
\begin_layout Standard
\begin_inset Float figure
+placement document
+alignment document
wide false
sideways false
status open
\begin_layout Standard
\begin_inset Float marginfigure
+placement document
+alignment document
wide false
sideways false
status open
\begin_layout Standard
\begin_inset Float figure
+placement document
+alignment document
wide true
sideways false
status open
\end_inset
-, the letterspacing\threehyphens
-that is, the spacing between the letters\threehyphens
-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"
+literal "true"
\end_inset
\family sans
Insert\SpecialChar menuseparator
Lists/TOC\SpecialChar menuseparator
-Bib\SpecialCharNoPassThru TeX
+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
-Bib\SpecialCharNoPassThru TeX
+Bib\SpecialChar TeX
+
\begin_inset space ~
\end_inset
Bibliography
\family default
- inset inside a \SpecialCharNoPassThru LyX
- note and use the \SpecialCharNoPassThru LaTeX
+ inset inside a \SpecialChar LyX
+ note and use the \SpecialChar LaTeX
command
\family typewriter
\begin_layout Standard
\begin_inset Float marginfigure
+placement document
+alignment document
wide false
sideways false
status open
\begin_layout Standard
\begin_inset Float marginfigure
+placement document
+alignment document
wide false
sideways false
status open
.
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
.
\begin_layout Standard
\begin_inset Formula
\[
-V=\pi x\, dx
+V=\pi x\,dx
\]
\end_inset
\begin_layout Standard
\begin_inset Formula
\[
-V=\pi f^{2}(x)\, dx
+V=\pi f^{2}(x)\,dx
\]
\end_inset
\begin_layout Standard
\begin_inset Formula
\begin{equation}
-\int_{a}^{b}\,\pi f^{2}(x)\, dx
+\int_{a}^{b}\,\pi f^{2}(x)\,dx
\end{equation}
\end_inset
\begin_layout Standard
\begin_inset Formula
\begin{eqnarray*}
-\int_{0}^{4}\,\pi x\, dx & = & \pi\int_{0}^{4}\, x\, dx\\
+\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
\begin_layout Standard
\begin_inset Float marginfigure
+placement document
+alignment document
wide false
sideways false
status open
\begin_layout Standard
\begin_inset Formula
\begin{eqnarray*}
-V_{washer} & = & A_{washer}\, dx\\
- & = & \pi\left(f^{2}(x)-g^{2}(x)\right)\, dx
+V_{washer} & = & A_{washer}\,dx\\
+ & = & \pi\left(f^{2}(x)-g^{2}(x)\right)\,dx
\end{eqnarray*}
\end_inset
\begin_layout Standard
\begin_inset Formula
\begin{equation}
-\int_{a}^{b}\,\pi\left(f^{2}(x)-g^{2}(x)\right)\, dx
+\int_{a}^{b}\,\pi\left(f^{2}(x)-g^{2}(x)\right)\,dx
\end{equation}
\end_inset
\begin_layout Standard
In the case of our quadratic drill bit::
\begin_inset Float marginfigure
+placement document
+alignment document
wide false
sideways false
status open
\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)\\
+\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)\\
projects / lyx.git / blobdiff