mirror of
https://git.lyx.org/repos/lyx.git
synced 2024-12-25 05:55:34 +00:00
Also for trunk:
- tufte example files: add info that one needs to have the font package "fpl" installed to compile them - modernCV.lyx: save in current file format git-svn-id: svn://svn.lyx.org/lyx/lyx-devel/trunk@39072 a592a061-630c-0410-9148-cb99ea01b6c8
This commit is contained in:
Uwe Stöhr
parent
ddd76c6b15
commit
3230b55a72
@ -1,21 +1,29 @@
|
||||
#LyX 1.6.5svn created this file. For more info see http://www.lyx.org/
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@ -23,21 +31,31 @@
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: Um dieses Dokument als PDF zu betrachten, muss das LaTeX-paket
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fpl
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in ihrem LaTeX-Sytem installiert sein.
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Wenn Sie MiKTeX benutzen, werden Sie automatisch danach gefragt dieses
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Paket zu installieren, wenn sie das Dokument als PDF ansehen.
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Wenn Sie TeXLive benutzen,verwenden Sie TeXLives Paket-Manager.
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Wenn Sie kein
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@ -515,6 +557,7 @@ hor_pos "c"
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height "1in"
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@ -592,6 +635,7 @@ hor_pos "c"
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has_inner_box 1
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inner_pos "t"
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width "100line%"
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special "none"
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height "1in"
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@ -655,6 +699,7 @@ hor_pos "c"
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has_inner_box 1
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inner_pos "t"
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width "100line%"
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special "none"
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height "1in"
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@ -740,7 +785,7 @@ status open
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\align center
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\begin_inset Tabular
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<lyxtabular version="3" rows="6" columns="2">
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<features booktabs="true">
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<column alignment="left" valignment="top" width="0">
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<row>
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@ -1,5 +1,5 @@
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#LyX 1.6.5 created this file. For more info see http://www.lyx.org/
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\lyxformat 345
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#LyX 2.0 created this file. For more info see http://www.lyx.org/
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\lyxformat 413
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\begin_document
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\begin_header
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\textclass tufte-book
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@ -8,18 +8,26 @@
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@ -27,25 +35,60 @@
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\family sans
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fpl
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\family default
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installed to your LaTeX system.
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If you are using MiKTeX, you will automatically be asked to install this
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package when previewing your file, if you are using TeXLive, use TeXLive's
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package manager.
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\end_inset
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\end_layout
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\begin_layout Title
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Ejemplos Tufte
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\end_layout
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@ -284,6 +327,7 @@ hor_pos "c"
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has_inner_box 1
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@ -342,6 +386,7 @@ hor_pos "c"
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has_inner_box 1
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inner_pos "t"
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@ -434,6 +479,7 @@ hor_pos "c"
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has_inner_box 1
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inner_pos "t"
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@ -861,6 +907,7 @@ hor_pos "c"
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has_inner_box 1
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inner_pos "t"
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use_makebox 0
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width "100col%"
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special "none"
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height "1in"
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@ -913,6 +960,7 @@ hor_pos "c"
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has_inner_box 1
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inner_pos "t"
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use_parbox 0
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width "100col%"
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special "none"
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height "1in"
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@ -1028,8 +1076,10 @@ El texto se refiere a estos cilindros como "discos".
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Después, podemos encontrar el volumen de cada cilindro/disco.
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La fórmula básica es:
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\begin_inset Formula \[
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V=hA\]
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\begin_inset Formula
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\[
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V=hA
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\]
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\end_inset
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@ -1049,8 +1099,10 @@ donde
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.
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Por sustitución
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\begin_inset Formula \[
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A=\pi f^{2}(x)\]
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\begin_inset Formula
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\[
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A=\pi f^{2}(x)
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\]
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\end_inset
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@ -1058,9 +1110,11 @@ En nuestro caso concreto,
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \begin{eqnarray*}
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\begin_inset Formula
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\begin{eqnarray*}
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A & = & \pi\left(\sqrt{x}\right)^{2}\\
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& = & \pi x\end{eqnarray*}
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& = & \pi x
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\end{eqnarray*}
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\end_inset
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@ -1068,8 +1122,10 @@ Para calcular el volumen de un disco, tenemos
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \[
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V=\pi x\, dx\]
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\begin_inset Formula
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\[
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V=\pi x\, dx
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\]
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\end_inset
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@ -1077,8 +1133,10 @@ o, en el caso general
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \[
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V=\pi f^{2}(x)\, dx\]
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\begin_inset Formula
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\[
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V=\pi f^{2}(x)\, dx
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\]
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\end_inset
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@ -1094,8 +1152,10 @@ Para encontrar el volumen de la figura entre los puntos
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \begin{equation}
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\int_{a}^{b}\,\pi f^{2}(x)\, dx\end{equation}
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\begin_inset Formula
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\begin{equation}
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\int_{a}^{b}\,\pi f^{2}(x)\, dx
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\end{equation}
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\end_inset
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@ -1104,11 +1164,13 @@ En el ejemplo concreto, en el intervalo
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\end_inset
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\begin_inset Formula \begin{eqnarray*}
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\begin_inset Formula
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\begin{eqnarray*}
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\int_{0}^{4}\,\pi x\, dx & = & \pi\int_{0}^{4}\, x\, dx\\
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& = & \pi\left.\left(\frac{x^{2}}{2}\right)\right|_{0}^{4}\\
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& = & \pi\left(\frac{4^{2}}{2}-0\right)\\
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& = & 8\pi\end{eqnarray*}
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& = & 8\pi
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\end{eqnarray*}
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\end_inset
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@ -1169,6 +1231,7 @@ hor_pos "c"
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has_inner_box 1
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inner_pos "t"
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use_parbox 0
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use_makebox 0
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width "100col%"
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special "none"
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height "1in"
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@ -1209,17 +1272,21 @@ Las funciones
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\end_inset
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\begin_inset Formula \begin{eqnarray*}
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\begin_inset Formula
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\begin{eqnarray*}
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A_{arandela} & = & A_{copa}-A_{taladro}\\
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& = & \pi f^{2}(x)-\pi g^{2}(x)\\
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& = & \pi\left(f^{2}(x)-g^{2}(x)\right)\end{eqnarray*}
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& = & \pi\left(f^{2}(x)-g^{2}(x)\right)
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\end{eqnarray*}
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\end_inset
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El volumen de cada arandela sería
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\begin_inset Formula \begin{eqnarray*}
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\begin_inset Formula
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\begin{eqnarray*}
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V_{arandela} & = & A_{arandela}\, dx\\
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& = & \pi\left(f^{2}(x)-g^{2}(x)\right)\, dx\end{eqnarray*}
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& = & \pi\left(f^{2}(x)-g^{2}(x)\right)\, dx
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\end{eqnarray*}
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\end_inset
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@ -1237,8 +1304,10 @@ Después, sumando los volúmenes de todas las arandelas entre los puntos
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\end_inset
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, se obtiene la integral:
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\begin_inset Formula \begin{equation}
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\int_{a}^{b}\,\pi\left(f^{2}(x)-g^{2}(x)\right)\, dx\end{equation}
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\begin_inset Formula
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\begin{equation}
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\int_{a}^{b}\,\pi\left(f^{2}(x)-g^{2}(x)\right)\, dx
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\end{equation}
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\end_inset
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@ -1259,6 +1328,7 @@ hor_pos "c"
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has_inner_box 1
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inner_pos "t"
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use_parbox 0
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use_makebox 0
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width "100col%"
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special "none"
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height "1in"
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@ -1286,13 +1356,15 @@ La copa con un agujero cuadrático taladrado a lo largo.
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\end_inset
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\begin_inset Formula \begin{eqnarray*}
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\begin_inset Formula
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\begin{eqnarray*}
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\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\\
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& = & \pi\left(\int_{0}^{4}\, x\, dx-\int_{0}^{4}\,\frac{x^{4}}{256}\, dx\right)\\
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& = & \pi\left(\left.\left(\frac{x^{2}}{2}\right)\right|_{0}^{4}-\left.\left(\frac{x^{5}}{1280}\right)\right|_{0}^{4}\right)\\
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& = & \pi\left(\left(\frac{4^{2}}{2}-0\right)-\left(\frac{4^{5}}{1280}-0\right)\right)\\
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& = & \pi\left(8-0.8\right)\\
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& = & 7.2\pi\end{eqnarray*}
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& = & 7.2\pi
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\end{eqnarray*}
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\end_inset
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@ -1,21 +1,29 @@
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#LyX 1.6.5 created this file. For more info see http://www.lyx.org/
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||||
\lyxformat 345
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||||
#LyX 2.0 created this file. For more info see http://www.lyx.org/
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||||
\lyxformat 413
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||||
\begin_document
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||||
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||||
\textclass tufte-handout
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||||
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|
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|
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|
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|
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|
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|
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|
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||||
\index_command default
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||||
\paperfontsize default
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||||
\spacing single
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||||
\use_hyperref false
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||||
@ -23,21 +31,31 @@
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\use_geometry true
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||||
\use_amsmath 1
|
||||
\use_esint 1
|
||||
\use_mhchem 1
|
||||
\use_mathdots 1
|
||||
\cite_engine basic
|
||||
\use_bibtopic false
|
||||
\use_indices false
|
||||
\paperorientation portrait
|
||||
\suppress_date false
|
||||
\use_refstyle 0
|
||||
\index Índice
|
||||
\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
|
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\paperpagestyle default
|
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\tracking_changes false
|
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|
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\author ""
|
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\author ""
|
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\html_math_output 0
|
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\html_css_as_file 0
|
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\html_be_strict false
|
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\end_header
|
||||
|
||||
\begin_body
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||||
@ -46,6 +64,31 @@
|
||||
\begin_inset Note Note
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||||
status open
|
||||
|
||||
\begin_layout Plain Layout
|
||||
|
||||
\series bold
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||||
\lang english
|
||||
Note
|
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\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
|
||||
|
||||
\end_inset
|
||||
|
||||
|
||||
\end_layout
|
||||
|
||||
\begin_layout Standard
|
||||
\begin_inset Note Note
|
||||
status open
|
||||
|
||||
\begin_layout Plain Layout
|
||||
Si se omite
|
||||
\emph on
|
||||
@ -501,6 +544,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100line%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -579,6 +623,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100line%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -642,6 +687,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100line%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -727,7 +773,7 @@ status open
|
||||
\align center
|
||||
\begin_inset Tabular
|
||||
<lyxtabular version="3" rows="6" columns="2">
|
||||
<features booktabs="true">
|
||||
<features booktabs="true" tabularvalignment="middle">
|
||||
<column alignment="left" valignment="top" width="0">
|
||||
<column alignment="left" valignment="top" width="0">
|
||||
<row>
|
||||
|
||||
@ -87,8 +87,8 @@ Le Top N des choses à connaître pour utiliser LyX
|
||||
\end_layout
|
||||
|
||||
\begin_layout Enumerate
|
||||
LyX est fourni avec une excellente documentation – servez-vous-en donc !
|
||||
Vous pouvez commencer par
|
||||
LyX est fourni avec une excellente documentation – utilisez-la donc ! Vous
|
||||
pouvez commencer par
|
||||
\family sans
|
||||
Aide\SpecialChar \menuseparator
|
||||
Introduction
|
||||
@ -135,15 +135,15 @@ Avons-nous déjà mentionné que vous devez lire la documentation ?
|
||||
\begin_layout Enumerate
|
||||
Les résultats de mise en page de LyX sont très esthétiques ! Faites
|
||||
\family sans
|
||||
Visualiser\SpecialChar \menuseparator
|
||||
DVI
|
||||
Visionner\SpecialChar \menuseparator
|
||||
[PDF (pdflatex]
|
||||
\family default
|
||||
pour vous en convaincre.
|
||||
pour vous en convaincre.
|
||||
\end_layout
|
||||
|
||||
\begin_layout Enumerate
|
||||
Oui ! LyX est capable d'imiter (presque) toutes les fonctionnalités de LaTeX.
|
||||
Et de nouveau Oui ! LyX sait lire les fichiers LaTeX.
|
||||
Oui! LyX est capable d'imiter (presque) toutes les fonctionnalités de LaTeX.
|
||||
Et de nouveau oui! LyX sait lire les fichiers LaTeX.
|
||||
Les utilisateurs de LaTeX peuvent survoler le
|
||||
\emph on
|
||||
Manuel
|
||||
@ -160,8 +160,7 @@ d'Apprentissage
|
||||
\begin_inset Quotes frd
|
||||
\end_inset
|
||||
|
||||
.
|
||||
(Pour tous les autres : ne vous inquiétez pas, vous n'avez pas besoin de
|
||||
(pour tous les autres: ne vous inquiétez pas, vous n'avez pas besoin de
|
||||
connaître LaTeX pour vous servir de LyX).
|
||||
\end_layout
|
||||
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
#LyX 1.6.8 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 moderncv
|
||||
@ -42,18 +42,26 @@
|
||||
\quote{"You only live twice." (an optional quote)}
|
||||
\end_preamble
|
||||
\use_default_options false
|
||||
\maintain_unincluded_children false
|
||||
\language english
|
||||
\language_package default
|
||||
\inputencoding auto
|
||||
\fontencoding global
|
||||
\font_roman default
|
||||
\font_sans default
|
||||
\font_typewriter default
|
||||
\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 default
|
||||
\output_sync 0
|
||||
\bibtex_command default
|
||||
\index_command default
|
||||
\paperfontsize 12
|
||||
\spacing single
|
||||
\use_hyperref false
|
||||
@ -61,9 +69,18 @@
|
||||
\use_geometry false
|
||||
\use_amsmath 1
|
||||
\use_esint 1
|
||||
\use_mhchem 1
|
||||
\use_mathdots 1
|
||||
\cite_engine basic
|
||||
\use_bibtopic false
|
||||
\use_indices false
|
||||
\paperorientation portrait
|
||||
\suppress_date false
|
||||
\use_refstyle 0
|
||||
\index Index
|
||||
\shortcut idx
|
||||
\color #008000
|
||||
\end_index
|
||||
\secnumdepth 3
|
||||
\tocdepth 3
|
||||
\paragraph_separation skip
|
||||
@ -74,8 +91,9 @@
|
||||
\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
|
||||
@ -834,8 +852,10 @@ Keep entries with green labels empty!
|
||||
Your content here, inside an unformatted environment.
|
||||
You can use here e.g.
|
||||
mathematics
|
||||
\begin_inset Formula \[
|
||||
E=mc^{2}\]
|
||||
\begin_inset Formula
|
||||
\[
|
||||
E=mc^{2}
|
||||
\]
|
||||
|
||||
\end_inset
|
||||
|
||||
@ -879,6 +899,7 @@ You can use bibitems:
|
||||
\end_layout
|
||||
|
||||
\begin_layout Bibliography
|
||||
\labelwidthstring References
|
||||
\begin_inset CommandInset bibitem
|
||||
LatexCommand bibitem
|
||||
key "latexguide"
|
||||
@ -895,6 +916,7 @@ A Guide to LaTeX Fourth Edition.
|
||||
\end_layout
|
||||
|
||||
\begin_layout Bibliography
|
||||
\labelwidthstring References
|
||||
\begin_inset CommandInset bibitem
|
||||
LatexCommand bibitem
|
||||
key "latexbook"
|
||||
|
||||
@ -1,21 +1,29 @@
|
||||
#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
|
||||
\inputencoding auto
|
||||
\fontencoding global
|
||||
\font_roman default
|
||||
\font_sans default
|
||||
\font_typewriter default
|
||||
\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 default
|
||||
\output_sync 0
|
||||
\bibtex_command default
|
||||
\index_command default
|
||||
\paperfontsize default
|
||||
\spacing single
|
||||
\use_hyperref true
|
||||
@ -32,25 +40,59 @@
|
||||
\use_geometry true
|
||||
\use_amsmath 1
|
||||
\use_esint 1
|
||||
\use_mhchem 1
|
||||
\use_mathdots 1
|
||||
\cite_engine basic
|
||||
\use_bibtopic false
|
||||
\use_indices false
|
||||
\paperorientation portrait
|
||||
\suppress_date false
|
||||
\use_refstyle 0
|
||||
\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
|
||||
|
||||
\end_inset
|
||||
|
||||
|
||||
\end_layout
|
||||
|
||||
\begin_layout Title
|
||||
Tufte Examples
|
||||
\end_layout
|
||||
@ -291,6 +333,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100col%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -348,6 +391,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100col%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -442,6 +486,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100line%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -796,6 +841,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100col%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -848,6 +894,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100col%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -958,8 +1005,10 @@ The text refers to these cylinders as "disks".
|
||||
\end_layout
|
||||
|
||||
\begin_layout Standard
|
||||
\begin_inset Formula \[
|
||||
V=hA\]
|
||||
\begin_inset Formula
|
||||
\[
|
||||
V=hA
|
||||
\]
|
||||
|
||||
\end_inset
|
||||
|
||||
@ -991,8 +1040,10 @@ where
|
||||
\end_layout
|
||||
|
||||
\begin_layout Standard
|
||||
\begin_inset Formula \[
|
||||
A=\pi f^{2}(x)\]
|
||||
\begin_inset Formula
|
||||
\[
|
||||
A=\pi f^{2}(x)
|
||||
\]
|
||||
|
||||
\end_inset
|
||||
|
||||
@ -1005,9 +1056,11 @@ In our specific case,
|
||||
\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
|
||||
|
||||
@ -1019,8 +1072,10 @@ To calculate the volume of one disk, we have
|
||||
\end_layout
|
||||
|
||||
\begin_layout Standard
|
||||
\begin_inset Formula \[
|
||||
V=\pi x\, dx\]
|
||||
\begin_inset Formula
|
||||
\[
|
||||
V=\pi x\, dx
|
||||
\]
|
||||
|
||||
\end_inset
|
||||
|
||||
@ -1033,8 +1088,10 @@ or, in the general case
|
||||
\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
|
||||
|
||||
@ -1054,8 +1111,10 @@ To find the volume of the figure between points
|
||||
\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
|
||||
|
||||
@ -1072,11 +1131,13 @@ In the specific example, over the interval
|
||||
\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
|
||||
|
||||
@ -1144,6 +1205,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100col%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -1187,10 +1249,12 @@ 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
|
||||
|
||||
@ -1202,9 +1266,11 @@ The volume of each washer would be
|
||||
\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
|
||||
|
||||
@ -1225,8 +1291,10 @@ Then, by summing the volumes of all the washers between points
|
||||
\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
|
||||
|
||||
@ -1247,6 +1315,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100col%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -1277,13 +1346,15 @@ 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
|
||||
|
||||
|
||||
@ -1,21 +1,29 @@
|
||||
#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-handout
|
||||
\use_default_options true
|
||||
\maintain_unincluded_children false
|
||||
\language english
|
||||
\language_package default
|
||||
\inputencoding auto
|
||||
\fontencoding global
|
||||
\font_roman default
|
||||
\font_sans helvet
|
||||
\font_typewriter default
|
||||
\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 default
|
||||
\output_sync 0
|
||||
\bibtex_command default
|
||||
\index_command default
|
||||
\paperfontsize default
|
||||
\spacing single
|
||||
\use_hyperref true
|
||||
@ -32,21 +40,31 @@
|
||||
\use_geometry true
|
||||
\use_amsmath 1
|
||||
\use_esint 1
|
||||
\use_mhchem 1
|
||||
\use_mathdots 1
|
||||
\cite_engine basic
|
||||
\use_bibtopic false
|
||||
\use_indices false
|
||||
\paperorientation portrait
|
||||
\suppress_date false
|
||||
\use_refstyle 0
|
||||
\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
|
||||
@ -55,6 +73,30 @@
|
||||
\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
|
||||
|
||||
\end_inset
|
||||
|
||||
|
||||
\end_layout
|
||||
|
||||
\begin_layout Standard
|
||||
\begin_inset Note Note
|
||||
status open
|
||||
|
||||
\begin_layout Plain Layout
|
||||
If the
|
||||
\emph on
|
||||
@ -512,6 +554,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100line%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -590,6 +633,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100line%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -653,6 +697,7 @@ hor_pos "c"
|
||||
has_inner_box 1
|
||||
inner_pos "t"
|
||||
use_parbox 0
|
||||
use_makebox 0
|
||||
width "100line%"
|
||||
special "none"
|
||||
height "1in"
|
||||
@ -738,7 +783,7 @@ status open
|
||||
\align center
|
||||
\begin_inset Tabular
|
||||
<lyxtabular version="3" rows="6" columns="2">
|
||||
<features booktabs="true">
|
||||
<features booktabs="true" tabularvalignment="middle">
|
||||
<column alignment="left" valignment="top" width="0">
|
||||
<column alignment="left" valignment="top" width="0">
|
||||
<row>
|
||||
|
||||
Loading…
Reference in New Issue
Block a user