Accept modifications in R examples

This commit is contained in:
Guillaume MM 2017-07-17 22:15:12 +02:00
parent 6b0381b386
commit 47612b3839
2 changed files with 16 additions and 289 deletions

View File

@ -1,5 +1,5 @@
#LyX 2.3 created this file. For more info see http://www.lyx.org/ #LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 541 \lyxformat 544
\begin_document \begin_document
\begin_header \begin_header
\save_transient_properties true \save_transient_properties true
@ -55,6 +55,7 @@ knitr
\suppress_date false \suppress_date false
\justification true \justification true
\use_refstyle 1 \use_refstyle 1
\use_minted 0
\index Index \index Index
\shortcut idx \shortcut idx
\color #008000 \color #008000
@ -68,16 +69,17 @@ knitr
\paragraph_separation indent \paragraph_separation indent
\paragraph_indentation default \paragraph_indentation default
\is_math_indent 0 \is_math_indent 0
\math_numbering_side default
\quotes_style english \quotes_style english
\dynamic_quotes 0
\papercolumns 1 \papercolumns 1
\papersides 1 \papersides 1
\paperpagestyle default \paperpagestyle default
\tracking_changes true \tracking_changes false
\output_changes false \output_changes false
\html_math_output 0 \html_math_output 0
\html_css_as_file 0 \html_css_as_file 0
\html_be_strict false \html_be_strict false
\author 2047637253 "Guillaume Munch"
\end_header \end_header
\begin_body \begin_body
@ -208,13 +210,9 @@ knitr
\series default \series default
; many of the examples have links to the \SpecialChar LyX ; many of the examples have links to the \SpecialChar LyX
source documents. source documents.
\change_inserted 2047637253 1483899260
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483899275
Since \SpecialChar LyX Since \SpecialChar LyX
2.3, it is necessary to enable the use of 2.3, it is necessary to enable the use of
\emph on \emph on
@ -231,8 +229,6 @@ Converters
knitr knitr
\series default \series default
. .
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -246,24 +242,16 @@ knitr
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483899195
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483899204
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483899200
show-off show-off
\change_unchanged
\end_layout \end_layout
\end_inset \end_inset
@ -273,47 +261,6 @@ show-off
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483899204
rnorm(5)
\end_layout
\begin_layout Plain Layout
\change_inserted 2047637253 1483899204
df=data.frame(y=rnorm(100), x=1:100)
\end_layout
\begin_layout Plain Layout
\change_inserted 2047637253 1483899204
summary(lm(y~x, data=df))
\change_unchanged
\end_layout
\end_inset
\change_unchanged
\end_layout
\begin_layout Standard
\change_deleted 2047637253 1483899208
\begin_inset ERT
status open
\begin_layout Plain Layout
<<show-off>>=
\end_layout
\begin_layout Plain Layout
rnorm(5) rnorm(5)
\end_layout \end_layout
@ -327,16 +274,9 @@ df=data.frame(y=rnorm(100), x=1:100)
summary(lm(y~x, data=df)) summary(lm(y~x, data=df))
\end_layout \end_layout
\begin_layout Plain Layout
@
\end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard

View File

@ -1,5 +1,5 @@
#LyX 2.3 created this file. For more info see http://www.lyx.org/ #LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 541 \lyxformat 544
\begin_document \begin_document
\begin_header \begin_header
\save_transient_properties true \save_transient_properties true
@ -67,6 +67,7 @@ sweave
\suppress_date false \suppress_date false
\justification true \justification true
\use_refstyle 0 \use_refstyle 0
\use_minted 0
\index Index \index Index
\shortcut idx \shortcut idx
\color #008000 \color #008000
@ -80,36 +81,31 @@ sweave
\paragraph_separation indent \paragraph_separation indent
\paragraph_indentation default \paragraph_indentation default
\is_math_indent 0 \is_math_indent 0
\math_numbering_side default
\quotes_style english \quotes_style english
\dynamic_quotes 0
\papercolumns 1 \papercolumns 1
\papersides 1 \papersides 1
\paperpagestyle default \paperpagestyle default
\tracking_changes true \tracking_changes false
\output_changes false \output_changes false
\html_math_output 0 \html_math_output 0
\html_css_as_file 0 \html_css_as_file 0
\html_be_strict false \html_be_strict false
\author 2047637253 "Guillaume Munch"
\end_header \end_header
\begin_body \begin_body
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897614
\begin_inset Note Note \begin_inset Note Note
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897614
\begin_inset Flex Sweave Options \begin_inset Flex Sweave Options
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897614
prefix=TRUE,prefix.string=sweave-prefix,keep.source=FALSE prefix=TRUE,prefix.string=sweave-prefix,keep.source=FALSE
\end_layout \end_layout
@ -121,8 +117,6 @@ prefix=TRUE,prefix.string=sweave-prefix,keep.source=FALSE
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -259,13 +253,9 @@ https://github.com/downloads/yihui/lyx/sweave.pdf
\end_inset \end_inset
. .
\change_inserted 2047637253 1483898587
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483899123
Since \SpecialChar LyX Since \SpecialChar LyX
2.3, it is necessary to enable the use of 2.3, it is necessary to enable the use of
\emph on \emph on
@ -278,8 +268,6 @@ File Handling\SpecialChar menuseparator
Converters Converters
\family default \family default
in order to compile with Sweave. in order to compile with Sweave.
\change_unchanged
\end_layout \end_layout
\begin_layout Section \begin_layout Section
@ -347,21 +335,15 @@ bin
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897627
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897627
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897627
where-is-R-bin,eval=FALSE where-is-R-bin,eval=FALSE
\end_layout \end_layout
@ -372,16 +354,12 @@ where-is-R-bin,eval=FALSE
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897627
R.home('bin') R.home('bin')
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -416,21 +394,15 @@ Sweave.sty
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897639
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897639
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897639
sweave-sty,eval=FALSE sweave-sty,eval=FALSE
\end_layout \end_layout
@ -441,16 +413,12 @@ sweave-sty,eval=FALSE
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897639
file.path(R.home('share'), 'texmf', 'tex', 'latex') file.path(R.home('share'), 'texmf', 'tex', 'latex')
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -524,37 +492,20 @@ echo=FALSE
\begin_layout Standard \begin_layout Standard
To write R code in \SpecialChar LyX To write R code in \SpecialChar LyX
, you can first , you can first insert
\change_inserted 2047637253 1483898412
insert
\change_deleted 2047637253 1483898419
switch to the
\change_unchanged
\family typewriter \family typewriter
Chunk Chunk
\family default \family default
insets from
\change_inserted 2047637253 1483898437
insets from
\family sans \family sans
Insert\SpecialChar menuseparator Insert\SpecialChar menuseparator
Custom Insets\SpecialChar menuseparator Custom Insets\SpecialChar menuseparator
Chunk Chunk
\change_deleted 2047637253 1483898459
\family default \family default
environment in the layout styles list (droplist in the top-left corner in
the toolbar)
\change_unchanged
, or you can simply open a \SpecialChar TeX , or you can simply open a \SpecialChar TeX
code environment and write Sweave code chunks code environment and write Sweave code chunks
in it. in it.
However, \SpecialChar LyX
\change_deleted 2047637253 1483898024
The latter approach is recommended since it is more stable.
\change_inserted 2047637253 1483961753
However, \SpecialChar LyX
provides a summary of all the provides a summary of all the
\family typewriter \family typewriter
Chunk Chunk
@ -570,8 +521,6 @@ View\SpecialChar menuseparator
Outline Pane Outline Pane
\family default \family default
menus. menus.
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -591,21 +540,15 @@ useFancyQuotes
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897653
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897653
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897653
setup, keep.source=TRUE setup, keep.source=TRUE
\end_layout \end_layout
@ -616,15 +559,11 @@ setup, keep.source=TRUE
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897653
## the option 'digits' can set the (approximate) number of digits ## the option 'digits' can set the (approximate) number of digits
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897653
options(width = 70, useFancyQuotes = FALSE, digits = 4) options(width = 70, useFancyQuotes = FALSE, digits = 4)
\end_layout \end_layout
@ -634,21 +573,15 @@ options(width = 70, useFancyQuotes = FALSE, digits = 4)
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897653
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897653
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897653
sweave-manual, eval=FALSE, keep.source=TRUE sweave-manual, eval=FALSE, keep.source=TRUE
\end_layout \end_layout
@ -659,23 +592,17 @@ sweave-manual, eval=FALSE, keep.source=TRUE
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897653
## view the Sweave vignette (requires R >= 2.13.0) ## view the Sweave vignette (requires R >= 2.13.0)
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897653
vignette("Sweave", package = "utils") vignette("Sweave", package = "utils")
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -683,21 +610,15 @@ A simple example that will run in any S engine:
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897659
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897659
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897659
print-integers, keep.source=TRUE print-integers, keep.source=TRUE
\end_layout \end_layout
@ -708,15 +629,11 @@ print-integers, keep.source=TRUE
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897659
## the integers from 1 to 10 are ## the integers from 1 to 10 are
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897659
1:10 1:10
\end_layout \end_layout
@ -726,21 +643,15 @@ print-integers, keep.source=TRUE
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897659
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897659
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897659
hide-results, results=hide hide-results, results=hide
\end_layout \end_layout
@ -751,23 +662,17 @@ hide-results, results=hide
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897659
## intentionally hide the output by setting results=hide ## intentionally hide the output by setting results=hide
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897659
print(1:20) print(1:20)
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -775,21 +680,15 @@ We can also emulate a simple calculator:
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897665
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897665
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897665
calculator calculator
\end_layout \end_layout
@ -800,23 +699,17 @@ calculator
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897665
1 + pi 1 + pi
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897665
sin(pi/6) sin(pi/6)
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -824,21 +717,15 @@ Now we look at some Gaussian data:
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897670
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897670
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897670
rnorm rnorm
\end_layout \end_layout
@ -849,37 +736,27 @@ rnorm
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897670
set.seed(123) # for reproducibility set.seed(123) # for reproducibility
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897670
x <- rnorm(20) x <- rnorm(20)
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897670
print(x) print(x)
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897670
t1 <- t.test(x) t1 <- t.test(x)
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -975,21 +852,15 @@ iris
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
\change_inserted 2047637253 1483897677
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897677
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897677
iris-summary iris-summary
\end_layout \end_layout
@ -1000,16 +871,12 @@ iris-summary
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897677
summary(iris[,-5]) summary(iris[,-5])
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
@ -1039,24 +906,16 @@ name "tab:xtable-demo"
\end_inset \end_inset
\change_inserted 2047637253 1483897685
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897698
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897692
xtable-demo,results=tex,echo=FALSE xtable-demo,results=tex,echo=FALSE
\change_unchanged
\end_layout \end_layout
\end_inset \end_inset
@ -1066,33 +925,23 @@ xtable-demo,results=tex,echo=FALSE
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897699
if (require('xtable')) { if (require('xtable')) {
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897699
print(xtable(sapply(iris[,-5], quantile)), floating=FALSE) print(xtable(sapply(iris[,-5], quantile)), floating=FALSE)
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897699
} else cat('the xtable package is not available! please install.packages("xtable" } else cat('the xtable package is not available! please install.packages("xtable"
)') )')
\change_unchanged
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\end_inset \end_inset
@ -1179,24 +1028,16 @@ Both eps and pdf are set to true so that both latex and pdflatex work.
\begin_layout Plain Layout \begin_layout Plain Layout
\align center \align center
\change_inserted 2047637253 1483897765
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897772
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897770
iris-pairs,fig=TRUE,width=4.5,height=4.5,eps=TRUE,pdf=TRUE iris-pairs,fig=TRUE,width=4.5,height=4.5,eps=TRUE,pdf=TRUE
\change_unchanged
\end_layout \end_layout
\end_inset \end_inset
@ -1206,18 +1047,12 @@ iris-pairs,fig=TRUE,width=4.5,height=4.5,eps=TRUE,pdf=TRUE
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897776
pairs(iris, col = iris$Species) pairs(iris, col = iris$Species)
\change_unchanged
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
@ -1256,21 +1091,15 @@ status open
\begin_layout Plain Layout \begin_layout Plain Layout
\align center \align center
\change_inserted 2047637253 1483897883
\begin_inset Flex Chunk \begin_inset Flex Chunk
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897883
\begin_inset Argument 1 \begin_inset Argument 1
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897883
iris-boxplots,fig=TRUE,width=7,height=2,keep.source=F,eps=T,pdf=T iris-boxplots,fig=TRUE,width=7,height=2,keep.source=F,eps=T,pdf=T
\end_layout \end_layout
@ -1281,23 +1110,17 @@ iris-boxplots,fig=TRUE,width=7,height=2,keep.source=F,eps=T,pdf=T
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897883
par(mar=c(4,5,.1,.3), las=1) par(mar=c(4,5,.1,.3), las=1)
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
\change_inserted 2047637253 1483897883
boxplot(Sepal.Length~Species,data=iris,horizontal=TRUE,xlab='Sepal.Length') boxplot(Sepal.Length~Species,data=iris,horizontal=TRUE,xlab='Sepal.Length')
\end_layout \end_layout
\end_inset \end_inset
\change_unchanged
\end_layout \end_layout
\begin_layout Plain Layout \begin_layout Plain Layout
@ -1337,8 +1160,6 @@ R/S code
R CMD Stangle R CMD Stangle
\family default \family default
. .
\change_inserted 2047637253 1483898877
\end_layout \end_layout
\begin_layout Section \begin_layout Section
@ -1699,17 +1520,9 @@ label=
\end_layout \end_layout
\begin_layout Standard \begin_layout Standard
Another Another issue with the \SpecialChar TeX
\change_deleted 2047637253 1483899012 code environment is the Sweave code chunk may fail
known when we change the alignment of the chunk paragraph in \SpecialChar LyX
\change_unchanged
issue
\change_inserted 2047637253 1483898966
with the \SpecialChar TeX
code environment
\change_unchanged
is the Sweave code chunk may fail when we change the alignment of the chunk
paragraph in \SpecialChar LyX
(using (using
\family sans \family sans
Paragraph settings Paragraph settings
@ -1761,36 +1574,10 @@ This is not a legitimate Sweave code chunk, since
<<>>= <<>>=
\family default \family default
must start in a new line with nothing before it. must start in a new line with nothing before it.
\change_inserted 2047637253 1483899083
This does not happen when using the Chunk inset instead of the \SpecialChar TeX This does not happen when using the Chunk inset instead of the \SpecialChar TeX
code environmen code environmen
t. t.
\change_unchanged
\change_deleted 2047637253 1483898988
Therefore we recommend you to double check the real source code via
\family sans
View\SpecialChar menuseparator
View Source
\family default
when changing the alignment of a chunk paragraph, and make sure
\family typewriter
<<>>=
\family default
appears in a new line.
This explains why we manually added an empty line in the code chunk in
Table
\begin_inset CommandInset ref
LatexCommand ref
reference "tab:xtable-demo"
\end_inset
.
\change_unchanged
\end_layout \end_layout
\begin_layout Section \begin_layout Section