-#LyX 1.6.5svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.1 created this file. For more info see http://www.lyx.org/
+\lyxformat 474
\begin_document
\begin_header
\textclass scrartcl
% the documentation team
% email: lyx-docs@lists.lyx.org
-
% if pdflatex is used
\usepackage{ifpdf}
\ifpdf
\renewcommand{\l@subsection}{\@dottedtocline{2}{1.5em}{2.8em}}
\renewcommand{\l@subsubsection}{\@dottedtocline{3}{4.3em}{3.6em}}
-% To be able to enter the character ° and · directly in LyX,
-% see sec. 22.11
-\DeclareInputText{176}{\ifmmode^\circ\else\textdegree\fi}
-\DeclareInputText{183}{\ifmmode\cdot\else\textperiodcentered\fi}
-
% increase link area for cross-references and autoname them,
\AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
-\newlength{\abc}
-\settowidth{\abc}{\space}
-\addto\extrasfrench{
- \renewcommand{\equationautorefname}{\hspace{-\abc}}
- \renewcommand{\sectionautorefname}{sec.\negthinspace}
- \renewcommand{\subsectionautorefname}{sec.\negthinspace}
- \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}}
+\addto\extrasfrench{%
+ \renewcommand*{\equationautorefname}[1]{}%
+ \renewcommand{\sectionautorefname}{sec.\negthinspace}%
+ \renewcommand{\subsectionautorefname}{sec.\negthinspace}%
+ \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}%
+}
% don't load packages twice
% see first footnote in sec. 9.3
% provides caption formatting
\setkomafont{captionlabel}{\bfseries}
-% used in Kap. 22.6
-\usepackage[samesize]{cancel}
-
-% enables calculation of values,
+% enables calculation of values
\usepackage{calc}
-% for multiple table row and column cells
-\usepackage{multirow}
+% for multiple columns used in sec. 24.7
\usepackage{multicol}
% needed in sec. 19.4
% for the Fourier transformation symbol
\usepackage{mathrsfs}
-% center multirows (e.g. in sec. 13.3)
-\renewcommand{\multirowsetup}{\centering}
-
% define a color, used in sec.9.3
\definecolor{vertfonce}{cmyk}{0.5, 0, 1, 0.5}
\DeclareMathOperator*{\Losange}{\blacklozenge}
\DeclareMathOperator{\sgn}{sgn}
-\newcommand{\spce}{\textvisiblespace}
-
% example definitions for sec. 20.1
\newcommand{\gr}{\Longrightarrow}
\newcommand{\us}[1]{\underline{#1}}
% example macro from sec. 19.4
%\def\tagform@#1{\maketag@@@{|#1|}}
-% macro from sec. 10.2
-\def\clap#1{\hbox to 0pt{\hss #1\hss}}
-\def\mathclap {\mathpalette \mathclapinternal}
-\def\mathclapinternal #1#2{\clap{$\mathsurround =0pt #1{#2}$}}
-
-% redefine the greyed out note
-\renewenvironment{lyxgreyedout}
- {\textcolor{blue}\bgroup}{\egroup}
% ------------------------------------
% used to check for needed LaTeX packages
\usepackage{ifthen}
+% check for package undertilde
+% used for the command \utilde
+\newboolean{undertilde}
+\IfFileExists{undertilde.sty}
+ {\usepackage{undertilde}
+ \setboolean{undertilde}{true}}
+ {\setboolean{undertilde}{false}}
+
% check for package eurosym
% used for the Euro symbol
\newboolean{eurosym}
\setboolean{braket}{true}}
{\setboolean{braket}{false}}
+% check for package cancel
+\newboolean{cancel}
+\IfFileExists{cancel.sty}
+ {\usepackage{cancel}
+ \setboolean{cancel}{true}}
+ {\setboolean{cancel}{false}}
+
% check for package upgreek
\newboolean{upgreek}
\IfFileExists{upgreek.sty}
{\setboolean{upgreek}{false}}
% use normal list environments also in French documents
-\StandardLayout
+\frenchbsetup{StandardLayout}
\end_preamble
-\options bibtotoc,idxtotoc,BCOR7.5mm,titlepage,tablecaptionabove
+\options bibliography=totoc,index=totoc,BCOR7.5mm,titlepage,captions=tableheading
\use_default_options false
+\maintain_unincluded_children false
\language french
+\language_package default
\inputencoding auto
+\fontencoding global
\font_roman default
\font_sans default
\font_typewriter default
+\font_math auto
\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 true
\pdf_colorlinks true
\pdf_backref false
\pdf_pdfusetitle false
-\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false, pdfpagelabels"
+\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
\papersize a4paper
\use_geometry false
-\use_amsmath 2
-\use_esint 1
+\use_package amsmath 2
+\use_package amssymb 2
+\use_package cancel 0
+\use_package esint 1
+\use_package mathdots 1
+\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
+\biblio_style plain
\use_bibtopic false
+\use_indices false
\paperorientation portrait
+\suppress_date false
+\justification true
+\use_refstyle 0
+\notefontcolor #0000ff
+\index Index
+\shortcut idx
+\color #008000
+\end_index
\secnumdepth 4
\tocdepth 3
\paragraph_separation skip
\bullet 3 2 7 -1
\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
traducteur: Siegfried Meunier-Guttin-Cluzel
\end_layout
+\begin_layout Plain Layout
+Dernière revue : 31/10/2012 pour 2.0.5 (quelques mises à jour de Uwe -> 19/10/2012
+ + remplacement de Éditer/Visionner/Insérer/Naviguer par Édition/Affichage/Inser
+tion/Navigation) par J.P.
+ Chrétien
+\end_layout
+
\end_inset
\family sans
-Version 1.6.x
+Version 2.1.x
\end_layout
\begin_layout Standard
Pour pouvoir exporter ce document en PDF, PS, ou DVI les paquetages LaTeX
\series bold
-eurosym,
-\series default
-
-\series bold
-multirow,
+braket, cancel, eurosym, mathdots, mathtools, mhchem, undertilde
\series default
et
\series bold
was
\series default
- doivent être installés.
- S'ils ne sont pas installés, vous pouvez quand même exporter votre document,
+ devraient être installés.
+ Si les ne sont pas installés, vous pouvez quand même exporter votre document,
mais les sections où ces paquetages sont nécessaires ne seront pas visibles
sur la sortie finale.
+
+\series bold
+mhchem
+\series default
+ fait exception: s'il n'est pas installé, on ne peut pas exporter ce fichier.
+\end_layout
+
+\begin_layout Plain Layout
+On peut trouver la dernière version de ce document ici:
+\begin_inset Newline newline
+\end_inset
+
+
+\series bold
+http://wiki.lyx.org/LyX/DocumentationDevelopment#Math
\end_layout
\end_inset
La plupart des symboles et plusieurs constructions expliquées dans ce manuel
sont aussi accessibles par le menu
\family sans
- Insérer\SpecialChar \menuseparator
+ Insertion\SpecialChar \menuseparator
Math
\family default
, ou par la
\begin_inset CommandInset href
LatexCommand href
name "amsguide.ps"
-target "ftp://ctan.tug.org/tex-archive/macros/amstex/doc/amsguide.ps"
+target "ftp://ftp.ams.org/pub/tex/doc/amstex/amsguide.pdf"
\end_inset
\begin_layout Standard
Pour créer une formule en ligne
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Ctrl+M, Alt+C M, Alt+M M
\family default
ou sur le bouton
-\begin_inset Graphics
- filename ../../images/math-mode.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-mode"
\end_inset
de la barre d'outils
\end_inset
Pour créer une formule hors ligne
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\family default
ou utilisez
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Changer le type de formule
\family default
\backslash
displaystyle
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
dans la formule.
Une nouvelle boîte bleue apparaît alors dans laquelle on peut insérer les
parties de formules qui doivent avoir la taille hors ligne.
\begin_layout Standard
Le mode TeX
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
est activé en appuyant sur le bouton
-\begin_inset Graphics
- filename ../../images/ert-insert.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "ert-insert"
\end_inset
de la barre d'outils ou en utilisant le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Code
\begin_inset space ~
\end_inset
\begin_layout Standard
Pour modifier le préambule LaTeX
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Pour éditer des matrices, des différentiations de cas et des formules multiligne
s après coup, on peut utiliser les menus
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math
\family default
and
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Lignes
\begin_inset space \thinspace{}
\end_inset
texte mathématique
\emph default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
text
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
.
Dans LyX, le texte apparaît en noir et peut donc être distingué des autres
parties de la formule qui apparaissent en bleu.
vont avec.
Les accolades placées autour des arguments obligatoires seront nommées
accolade TeX dans ce document
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Itemize
-Le symbole
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-Ce caractère espace visible peut être obtenu en utilisant la commande
-\series bold
-
-\backslash
-textvisiblespace
-\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commandes ! T !
-\backslash
-textvisiblespace
-\end_layout
-
+Le symbole
+\begin_inset space \textvisiblespace{}
\end_inset
-, insérée en mode TeX.
+ indique que l'on doit mettre une espace.
\end_layout
+\begin_layout Itemize
+Une flèche comme celle-ci
+\begin_inset Formula $\to$
\end_inset
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+ indique que l'on doit appuyer sur la flèche correspondante du clavier.
+ La touche
+\family sans
+ Tab
+\family default
+ peut être fréquemment utilisée à la place de
+\begin_inset Formula $\to$
\end_inset
-
-\begin_inset space ~
+ et
+\begin_inset Formula $\downarrow$
\end_inset
-indique que l'on doit mettre une espace.
-\end_layout
+, et
+\family sans
+Shift+Tab
+\family default
+ à la place de
+\begin_inset Formula $\leftarrow$
+\end_inset
-\begin_layout Itemize
-Une flèche comme celle-ci
-\begin_inset Formula $\to$
+ et
+\begin_inset Formula $\uparrow$
\end_inset
- indique que l'on doit appuyer sur la flèche correspondante du clavier.
+.
\end_layout
\begin_layout Subsection*
\begin_layout Plain Layout
\align center
-\begin_inset Caption
+\begin_inset Caption Standard
\begin_layout Plain Layout
\begin_inset CommandInset label
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Subsection
Exposants
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
et indices
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
ou avec le bouton
-\begin_inset Graphics
- filename ../../images/math-subscript.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-subscript"
\end_inset
-de la barre d'outils mathématique, les exposants avec un accent circonflexe
+ de la barre d'outils mathématique, les exposants avec un accent circonflexe
\begin_inset Quotes eld
\end_inset
\end_inset
ou avec le bouton
-\begin_inset Graphics
- filename ../../images/math-superscript.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-superscript"
\end_inset
.
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\begin_layout Plain Layout
B^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
frac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
ou avec le bouton
-\begin_inset Graphics
- filename ../../images/math/frac.png
- scale 50
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac"
\end_inset
de la barre d'outils mathématique.
La taille de la police est ajustée automatiquement selon que l'on se trouve
dans une formule en ligne ou hors ligne.
Avec le bouton
-\begin_inset Graphics
- filename ../../images/math/frac-square.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac-square"
\end_inset
de la barre d'outils mathématique, vous pouvez choisir entre différents
\backslash
dfrac
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
on peut créer une fraction qui a dans tous les cas la taille d'une fraction
qui se trouverait dans une formule hors ligne.
Avec
\backslash
tfrac
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
la fraction aura toujours la taille d'une formule en ligne.
Un exemple:
\end_layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
1
cfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
\textrm{créée avec \textbf{\textbackslash frac}} & & \textrm{créée avec \textbf{\textbackslash cfrac}}\\
-\frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}\end{align*}
+\frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}
+\end{align*}
\end_inset
\backslash
cfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
B+
\backslash
cfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C+
\backslash
cfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
E
\begin_layout Standard
\series bold
-\begin_inset Formula $\cfrac[l]{A}{B+C}$
-\end_inset
+\begin_inset Formula
+\[
+\cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C}
+\]
-,
-\begin_inset Formula $\cfrac{A}{B+C}$
-\end_inset
-
-,
-\begin_inset Formula $\cfrac[r]{A}{B+C}$
\end_inset
frac
\series default
:
-\begin_inset Formula \[
-\cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}\]
+\begin_inset Formula
+\[
+\cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}
+\]
\end_inset
\backslash
nicefrac
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
unitfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
on explique comment définir des fractions personnalisées en modifiant les
- barres de fractions .
+ barres de fractions.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsection
Racines
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
sqrt
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
ou avec le bouton
-\begin_inset Graphics
- filename ../../images/math/sqrt.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\sqrt"
\end_inset
de la barre d'outils mathématique, et toutes les autres racines avec la
root
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
ou avec le bouton
-\begin_inset Graphics
- filename ../../images/math/root.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\root"
\end_inset
.
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
sqrt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A-B
\backslash
root
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
3
leftroot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
uproot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
beta
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Subsection
Coefficients binomiaux
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
binom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
ou avec le bouton
-\begin_inset Graphics
- filename ../../images/math/frac-square.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\frac-square"
\end_inset
-de la barre d'outils mathématique.
+ de la barre d'outils mathématique.
Comme pour les fraction (
\series bold
\backslash
dbinom
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
et
\series bold
tbinom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
brace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
brack
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
binom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dbinom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
tbinom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
brack
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
brace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_layout Subsection
Différentiation de cas
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
cases
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
B>0
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
cases
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-Ctrl-Enter
+
+\family sans
+Ctrl-Entrée
\end_layout
\end_inset
\begin_layout Plain Layout
\begin_inset Formula $\begin{cases}
A & \textrm{pour }\hat{x}>0\\
-B & \textrm{pour }\hat{x}=0\end{cases}$
+B & \textrm{pour }\hat{x}=0
+\end{cases}$
\end_inset
cases
\series default
ou avoir utilisé le bouton
-\begin_inset Graphics
- filename ../../images/math/cases.png
- lyxscale 50
- scale 50
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\cases"
\end_inset
de la barre d'outils mathématique, vous pouvez ajouter de nouvelles lignes
Ctrl+Entrée
\family default
ou avec le bouton
-\begin_inset Graphics
- filename ../../images/tabular-feature_append-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-row"
\end_inset
.
\series default
est aussi accessible par le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Environnement
\begin_inset space ~
\begin_layout Subsection
Négations
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
not
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est là pour faire de la place
+raisebox
+\series default
+ est là pour faire de la place
\end_layout
\end_inset
phantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
ou le bouton
-\begin_inset space ~
+\begin_inset space \thinspace{}
\end_inset
+\begin_inset Foot
+status open
+
+\begin_layout Plain Layout
+
+\lang english
+can be found in the submenu of the toolbar button
+\lang french
+
+\family sans
+
+\begin_inset Info
+type "icon"
+arg "math-insert \\space"
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
\begin_inset Graphics
filename ../../images/math/phantom.png
scale 85
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\begin_layout Plain Layout
^19
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
1
\end_inset
9
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
F
\begin_layout Plain Layout
^235
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
23
\end_inset
9
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
F
\backslash
Lambda^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
phantom
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ii
\end_inset
t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_MMt
vphantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hphantom
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
vphantom
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
.
\end_layout
+\begin_layout Standard
+Les réserves peuvent aussi être utilisées avec du texte en les insérant
+ via le menu
+\family sans
+Insertion\SpecialChar \menuseparator
+Typographie
+\begin_inset space ~
+\end_inset
+
+spéciale\SpecialChar \menuseparator
+Fantôme
+\family default
+.
+\end_layout
+
+\begin_layout Standard
+Ceci est une phrase.
+\begin_inset Newline newline
+\end_inset
+
+
+\begin_inset Phantom Phantom
+status open
+
+\begin_layout Plain Layout
+Ceci
+\end_layout
+
+\end_inset
+
+ est aussi une phrase.
+\end_layout
+
\begin_layout Subsection
Lignes
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
overline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
underline
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
rule
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
rule
\series default
- peut aussi être utilisé avec du texte si elle est insérée en code TeX.
+ peut aussi être utilisé avec du texte si la ligne est insérée via le menu
+
+\family sans
+Insertion\SpecialChar \menuseparator
+Typographie
+\begin_inset space ~
+\end_inset
+
+spéciale\SpecialChar \menuseparator
+Ligne
+\begin_inset space ~
+\end_inset
+
+horizontale
+\family default
+
+\begin_inset space ~
+\end_inset
+
+:
+\end_layout
+
+\begin_layout Standard
+Ceci est une phrase
+\begin_inset CommandInset line
+LatexCommand rule
+offset "0.5ex"
+width "3cm"
+height "1pt"
+
+\end_inset
+
+ avec une ligne.
\end_layout
\begin_layout Subsection
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Plain Layout
Dans la barre d'outils mathématique dans le sous-menu du bouton
-\begin_inset Graphics
- filename ../../images/math/ldots.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\ldots"
\end_inset
ldots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
cdots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dots
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features>
+<lyxtabular version="3" rows="9" columns="2">
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,
\backslash
dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
\backslash
dots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,
\backslash
ldots
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
,A_n
\begin_layout Plain Layout
A_1
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
\backslash
cdots
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
+
++A_n
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $A_{1}+\cdots+A_{n}$
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-+A_n
+\begin_layout Plain Layout
+
+\backslash
+vdots
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A_{1}+\cdots+A_{n}$
+\begin_inset Formula $\vdots$
\end_inset
\begin_layout Plain Layout
\backslash
-vdots
+ddots
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\vdots$
+\begin_inset Formula $\ddots$
\end_inset
\begin_layout Plain Layout
\backslash
-ddots
+iddots
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ddots$
+\begin_inset Formula $\iddots$
\end_inset
\begin_inset Formula $\begin{array}{ccc}
A_{11} & \cdots & A_{1m}\\
\vdots & \ddots & \vdots\\
-A_{n1} & \cdots & A_{nm}\end{array}$
+A_{n1} & \cdots & A_{nm}
+\end{array}$
\end_inset
\begin_layout Standard
Les points de suspension accessibles avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Caractère
\begin_inset space ~
\end_inset
\begin_inset VSpace medskip
\end_inset
+
+\end_layout
+
+\begin_layout Standard
+Pour utiliser
+\series bold
+
+\backslash
+iddots
+\series default
+, on doit utiliser une des options
+\family sans
+Utiliser
+\begin_inset space ~
+\end_inset
+
+(automatiquement) le paquetage mathdots
+\family default
+dans les paramètres du document, rubrique
+\family sans
+Options du mode math
+\family default
+.
+\begin_inset Newline newline
+\end_inset
+
+L'utilisation de l'option
+\family sans
+Utiliser le paquetage mathdots
+\family default
+ améliorera l'apparence de tous les points du document si leur police ou
+ leur taille de caractère n'est pas le choix implicite.
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
Spécialement pour les matrices, il y a des points de suspension qui peuvent
couvrir plusieurs colonnes.
Il sont créés avec la commande
hdotsfor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
dots
\series default
:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left(\begin{array}{cccc}
A & B & C & D\\
\hdotsfor[2]{4}\\
-a & z & e & r\end{array}\right)\]
+a & z & e & r
+\end{array}\right)
+\]
\end_inset
dotfill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
A
\backslash
dotfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
hrulefill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
On peut insérer des matrices avec le bouton
-\begin_inset Graphics
- filename ../../images/dialog-show_mathmatrix.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "dialog-show mathmatrix"
\end_inset
de la barre d'outils mathématique ou en utilisant le menu
\family sans
- Insérer\SpecialChar \menuseparator
+ Insertion\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Matrice
\begin_inset space ~
mathématique
\family default
.
- On vous demande alors le nombre de lignes et de colonnes de la matrice
- et leur alignement.
+ On vous demande alors le nombre de lignes et de colonnes de la matrice,
+ de leur alignement et de la décoration.
L'alignement vertical n'est en fait important que pour les matrices qui
se trouvent dans une formule en ligne:
\end_layout
\begin_inset Formula $\begin{array}[t]{cccc}
A & D & G & J\\
B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
\end_inset
, la seconde milieu
\begin_inset Formula $\begin{array}{cccc}
A & D & G & J\\
B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
\end_inset
, et la troisième bas
\begin_inset Formula $\begin{array}[b]{cccc}
A & D & G & J\\
B & E & H & K\\
-C & F & I & L\end{array}$
+C & F & I & L
+\end{array}$
\end_inset
.
c
\series default
.
-\begin_inset Newpage pagebreak
-\end_inset
-
-
\end_layout
\begin_layout Standard
\begin_inset Formula $\begin{array}{lll}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
,
\begin_inset Formula $\begin{array}{ccc}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
,
\begin_inset Formula $\begin{array}{rrr}
10000 & D & G\\
B & 10000 & H\\
-C & F & 10000\end{array}$
+C & F & 10000
+\end{array}$
\end_inset
\begin_layout Standard
Pour ajouter ou supprimer des lignes ou des colonnes après coup, on peut
utiliser les boutons
-\begin_inset Graphics
- filename ../../images/tabular-feature_append-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular append-row"
\end_inset
,
-\begin_inset Graphics
- filename ../../images/tabular-feature_delete-row.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "inset-modify tabular delete-row"
\end_inset
, etc.
de la barre d'outils mathématique, ou le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Lignes
\begin_inset space \thinspace{}
\end_inset
\begin_inset VSpace bigskip
\end_inset
-On peut ajouter des parenthèses autour d'une matrice, soit avec les commandes
-
+La
+\family sans
+Décoration
+\family default
+ permet d'ajouter des parenthèses du type choisi autour de la matrice.
+ Une autre façon d'ajouter des parenthèses autour d'une matrice, est soit
+ d'utiliser les commandes
\series bold
\backslash
left
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
right
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-, ou en utilisant les commandes suivantes:
+, soit d'utiliser les commandes suivantes:
\begin_inset VSpace medskip
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset space \hfill{}
-\end_inset
-
-
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
matrice
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
Bmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
matrice
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{Bmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
pmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
matrice
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{pmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
matrice
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
Vmatrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
matrice
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{Vmatrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
\end_inset
\backslash
matrix
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
matrice
\begin_layout Plain Layout
\begin_inset Formula $\raisebox{7.5mm}{}\begin{matrix}\begin{array}{cc}
0 & \textrm{-}\mathrm{i}\\
-\mathrm{i} & 0\end{array}\end{matrix}\raisebox{-5.3mm}{}$
+\mathrm{i} & 0
+\end{array}\end{matrix}\raisebox{-5.3mm}{}$
\end_inset
\end_inset
-\begin_inset space \hfill{}
-\end_inset
-
-
\end_layout
\begin_layout Standard
\series default
une boîte bleue apparaît entre deux lignes verticales où la matrice est
insérée.
+\begin_inset Newline newline
+\end_inset
+
+Notez que les matrices décorées ignorent l'alignement vertical.
\end_layout
\begin_layout Standard
arraycolsep
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
arraystretch
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
renewcommand{
\backslash
arraystretch}{facteur d'étirement}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
smallmatrix
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Voici une matrice
\begin_inset Formula $\left(\begin{smallmatrix}A & B\\
-C & D\end{smallmatrix}\right)$
+C & D
+\end{smallmatrix}\right)$
\end_inset
dans une ligne de texte.
\begin_layout Section
Parenthèses et autres délimiteurs
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Parenthèses verticales et délimiteurs
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-
-\lang english
\begin_inset space \hfill{}
\end_inset
-\lang french
-
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\lang english
-
\begin_inset space \hfill{}
\end_inset
textbackslash
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
big
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\series bold
-\lang english
\backslash
raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
Big((A+B)(A-B)
\backslash
Big)^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C.
ln(3x)
\backslash
big}^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
sin(x)
\backslash
Big]^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
En plus des commandes
\series bold
bigm
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
bigr
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="middle" width="0">
-<column alignment="center" valignment="middle" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="middle">
+<column alignment="center" valignment="middle">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
ln(3x)
\backslash
bigm)^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ln(3x)
\backslash
big)^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ln(3x)
\backslash
bigr)^2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
left
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
right
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Graphics
- filename ../../images/dialog-show_mathdelimiter.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "dialog-show mathdelimiter"
\end_inset
de la barre d'outils mathématique.
ln(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
)
\series default
donne
-\begin_inset Formula \[
-\ln(\frac{A}{C})\]
+\begin_inset Formula
+\[
+\ln(\frac{A}{C})
+\]
\end_inset
left(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
right)
\series default
donne
-\begin_inset Formula \[
-\ln\left(\frac{A}{C}\right)\]
+\begin_inset Formula
+\[
+\ln\left(\frac{A}{C}\right)
+\]
\end_inset
(
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
left.
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
donne:
\series bold
-\begin_inset Formula \[
-\left.\frac{A}{B}\right\} \]
+\begin_inset Formula
+\[
+\left.\frac{A}{B}\right\}
+\]
\end_inset
middle
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Avec cette commande la taille du caractère suivant est adaptée à la taille
des parenthèses voisines, ce qui est nécessaire par exemple, pour les vecteurs
de la physique quantique:
-\begin_inset Formula \[
-\left\langle \phi\:\middle|\: J=\frac{3}{2}\,,\, M_{J}\right\rangle \]
+\begin_inset Formula
+\[
+\left\langle \phi\:\middle|\: J=\frac{3}{2}\,,\, M_{J}\right\rangle
+\]
\end_inset
\begin_layout Subsection
Accolades horizontales
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
Commande
\begin_inset Note Note
-status open
+status collapsed
\begin_layout Plain Layout
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
overbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
3
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_5
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
overbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
underbrace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A+B_w
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_7
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
Quand des accolades doivent se chevaucher les unes les autres, on doit utiliser
des formules multi-lignes, comme c'est décrit en :
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\\
- & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}\end{eqnarray*}
+ & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
+\end{eqnarray*}
\end_inset
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
& & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
-A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\end{eqnarray*}
+A & = & \underbrace{gggg+bbqq}_{r}+\: dddd
+\end{eqnarray*}
\end_inset
jot
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Commandes ! J !
\backslash
jot
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Section
Flèches
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
On peut insérer des flèches avec le bouton
-\begin_inset Graphics
- filename ../../images/math/leftarrow.png
- scale 85
-
+\begin_inset Info
+type "icon"
+arg "math-insert \\leftarrow"
\end_inset
de la barre d'outils mathématique ou en insérant une des commandes listées
\begin_layout Subsection
Flèches horizontales
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
Il y a aussi les flèches avec étiquette
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
xleftarrow
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
xrightarrow
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
F(a)
\backslash
xleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
x=a
F(x)
\backslash
xrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
x=a
\begin_layout Subsection
Flèches verticales et diagonales
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
Accents
\begin_inset CommandInset label
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Plain Layout
+\series bold
+
\backslash
-texorpdfstring est utilisé pour éviter que la note de bas de page apparaisse
- dans les signets PDF.
+texorpdfstring
+\series default
+ est utilisé pour éviter que la note de bas de page apparaisse dans les
+ signets PDF.
\end_layout
\begin_layout Plain Layout
Plus au sujet de
+\series bold
+
\backslash
-texorpdfstring dans la section
+texorpdfstring
+\series default
+ dans la section
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:formules-dans-les-entêtes"
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
dot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
ddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
dddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_layout Plain Layout
\backslash
-ddddot{A
+ddddot
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
\end_layout
\end_inset
\backslash
vec
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
bar
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
mathring
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
tilde
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
hat
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
check
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
acute
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
grave
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\backslash
breve
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
des formules.
LyX va les transformer en la commande correspondante.
Pour créer des trémas (umlauts en allemand)
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
ddot
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
i
être insérés directement.
\end_layout
-\begin_layout Subsection
-Accents pour les opérateurs
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Accents ! pour les opérateurs
-\end_layout
-
+\begin_layout Standard
+\begin_inset VSpace bigskip
\end_inset
\end_layout
\begin_layout Standard
-Avec les commandes
-\series bold
-\backslash
-overset
+\lang english
+LyX also supports a tilde under the character if the LaTeX-package
+\lang french
+
+\series bold
+undertilde
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Commandes ! O !
-\backslash
-overset
+Paquetages ! undertilde
\end_layout
\end_inset
- et
-\series bold
-
-\backslash
-underset
-\series default
+
+\lang english
+is installed on your system:
+\end_layout
-\begin_inset Index
+\begin_layout Standard
+\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-Commandes ! U !
+
+
\backslash
-underset
+ifundertilde
\end_layout
\end_inset
- on peut placer des caractères respectivement au dessus ou en dessous d'un
- opérateur, pour l'accentuer.
- Avec la commande
-\series bold
-\backslash
-sideset
-\series default
-
-\begin_inset Index
-status collapsed
+\begin_inset Note Note
+status open
\begin_layout Plain Layout
-Commandes ! S !
-\backslash
-sideset
+Ce qui suit ne sera affiché que si le paquetage LaTeX
+\series bold
+undertilde
+\series default
+ est installé:
\end_layout
\end_inset
-, on peut placer des caractères avant ou après un opérateur.
- La syntaxe de la commande est:
-\series bold
-
-\begin_inset Newline newline
-\end_inset
-
-\backslash
-sideset{caractère avant}{caractère après}
\end_layout
\begin_layout Standard
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="2" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top" width="0pt">
+<column alignment="center" valignment="top" width="0pt">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
-\series bold
+\begin_layout Plain Layout
+Commande
+\end_layout
-\backslash
-sideset
-\series default
- doit toujours se trouver avant l'opérateur qui est accentué.
- Vous pouvez utiliser pour l'accentuation plusieurs caractères et même
- d'autres opérateurs ou des symboles.
- Pour placer avec
-\series bold
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
-\backslash
-sideset,
-\series default
- par exemple seulement des caractères derrière un opérateur, ne mettez rien
- entre les deux premières accolades, mais ne les omettez pas.
+\begin_layout Plain Layout
+Résultat
\end_layout
-\begin_layout Standard
-Par exemple la commande
-\series bold
-
-\backslash
-sideset{
-\begin_inset Formula $\to$
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
\backslash
-{
-\series default
-'
-\series bold
-
-\begin_inset Formula $\to$
+utilde
+\begin_inset space \textvisiblespace{}
\end_inset
+A
+\end_layout
-\backslash
-sum_k=1
-\begin_inset ERT
-status collapsed
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{5mm}{}\utilde{A}$
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
-
-
-\series default
-^
-\series bold
-n
-\series default
- donne:
-\begin_inset Formula \[
-\sideset{}{'}\sum_{k=1}^{n}\]
+</cell>
+</row>
+</lyxtabular>
\end_inset
\end_layout
\begin_layout Standard
-La commande
-\series bold
-
-\backslash
-overset
\begin_inset ERT
status collapsed
\backslash
-spce
+else
\end_layout
\end_inset
-\backslash
-maltese
-\begin_inset ERT
-status collapsed
+\begin_inset Note Note
+status open
\begin_layout Plain Layout
-
-
-\backslash
-spce
+Ce qui suit sera affiché si la paquetage LaTeX
+\series bold
+undertilde
+\series default
+ n'est pas installé:
\end_layout
\end_inset
-\series default
-
-\begin_inset Formula $\uparrow$
-\end_inset
-
+\end_layout
+\begin_layout Standard
+Vous avez besoin du paquetage LaTeX
\series bold
-a
+undertilde
\series default
- donne:
-\begin_inset Formula \[
-\overset{a}{\maltese}\]
+ pour voir le reste de cette sous section dans la sortie finale.
+\end_layout
-\end_inset
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
-Comme on peut le voir dans le dernier exemple, avec
-\series bold
+\begin_layout Plain Layout
-\backslash
-overset
-\series default
- et
-\series bold
\backslash
-underset
-\series default
- on peut aussi accentuer des symboles et des caractères; avec
-\series bold
+fi
+\end_layout
+
+\end_inset
+
-\backslash
-sideset
-\series default
- ce n'est pas possible.
\end_layout
\begin_layout Subsection
Accents pour plusieurs caractères
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
overleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underleftarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
overleftrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underleftrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
overrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
underrightarrow
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
widetilde
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
widehat
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\series default
apparaîtront dans la sortie finale avec une longueur de seulement trois
caractères, comme on le voit dans l'exemple suivant:
-\begin_inset Formula \[
-\widetilde{A+B=C-D}\]
+\begin_inset Formula
+\[
+\widetilde{A+B=C-D}
+\]
\end_inset
overset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
underset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
underset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
***
\series default
donne:
-\begin_inset Formula \[
-\underset{***}{A=B}\]
+\begin_inset Formula
+\[
+\underset{***}{A=B}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\color blue
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Standard
\noindent
\align center
-\begin_inset VSpace -5mm
-\end_inset
-
-
\begin_inset Tabular
-<lyxtabular version="3" rows="3" columns="7">
-<features>
-<column alignment="center" valignment="middle" width="6.8cm">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<lyxtabular version="3" rows="6" columns="3">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="middle" width="15col%">
+<column alignment="center" valignment="top">
<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\end_inset
</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Nombre de fois où on appuye la barre d'
+\family sans
+Espace
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Résultat
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+0
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\, B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+1
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\: B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+2
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\; B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
+\begin_layout Plain Layout
+3
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\quad B$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
\begin_layout Plain Layout
\backslash
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
+4
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\qquad B$
+\end_inset
+
-\backslash
-!
\end_layout
\end_inset
</cell>
</row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="6" columns="3">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="middle" width="15col%">
+<column alignment="center" valignment="top">
<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Nombre de fois où on a appuyé sur la barre d'
+Commande
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Nombre de fois où on appuye la barre d'
\family sans
-Espace
-\family default
-après avoir inséré l'espace insécable
+Espace
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-0
+Résultat
\end_layout
\end_inset
</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-1
+
+\backslash
+hfill
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-2
+5
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\hfill B$
+\end_inset
+
+
\end_layout
\end_inset
</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-3
+
+\backslash
+hspace*{1em}
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-4
+6
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-5
+\begin_inset Formula $A\hspace*{1em}B$
+\end_inset
+
+
\end_layout
\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-Résultat
+
+\backslash
+hspace{1em}
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\, B$
-\end_inset
-
-
+7
\end_layout
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\: B$
+\begin_inset Formula $A\hspace{1em}B$
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\; B$
+
+\backslash
+
+\begin_inset space \textvisiblespace{}
\end_inset
\end_inset
</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\quad B$
+8
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $A\ B$
\end_inset
\end_inset
</cell>
+</row>
+<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $A\qquad B$
-\end_inset
+\backslash
+!
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
+9
\end_layout
\end_inset
\end_layout
\begin_layout Standard
-La dernière taille n'a pas l'air de produire une espace.
+
+\lang english
+Space
+\begin_inset space ~
+\end_inset
+
+5
+\begin_inset space \thinspace{}
+\end_inset
+
+--
+\begin_inset space \thinspace{}
+\end_inset
+
+7 are variable spaces which are explained in
+\lang french
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Espace-variable"
+
+\end_inset
+
+.
+ La taille
+\begin_inset space ~
+\end_inset
+
+9 n'a pas l'air de produire une espace.
Elle est affichée en rouge dans LyX, contrairement aux autres espaces,
parce que c'est une espace négative.
Il y a deux autres espaces négatives:
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_inset Text
\begin_layout Plain Layout
-6
+10
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-7
+11
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
Résultat
\begin_inset Note Note
-status open
+status collapsed
\begin_layout Plain Layout
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
sum
\backslash
sum
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
f_kl
negmedspace
\backslash
sum
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
f_kl
\end_layout
\begin_layout Standard
+\noindent
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\noindent
Les opérateur de relations comme par exemple le signe égal, sont toujours
entourés par des espaces.
Pour les supprimer, le signe égal est mis entre deux accolades TeX.
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\series bold
-\lang english
\backslash
raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
normale.
Pour les unités dans le texte, l'espace fine est insérée avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Typographie
\begin_inset space ~
\end_inset
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
-<column alignment="left" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="left" valignment="top">
+<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hspace
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\color blue
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\color blue
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
-\begin_layout Plain Layout
+\color inherit
+
+\begin_inset Quotes erd
+\end_inset
+
+.
+ La longueur peut aussi être négative.
+
+\lang english
+When a space would be the first character in a line it would be omitted.
+ To force its output use the command
+\series bold
\backslash
-spce
-\end_layout
+hspace*
+\series default
+ instead of
+\series bold
+
+\backslash
+hspace
+\series default
+ or left-click on the
+\begin_inset Quotes eld
+\end_inset
+
+
+\color blue
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_inset Quotes erd
\end_inset
+ and check the option
+\family sans
+Protect
+\family default
.
- La longueur peut aussi être négative.
- Pour insérer suffisamment d'espace pour que la formule utilise tout l'espace
+\lang french
+
+\begin_inset Newline newline
+\end_inset
+
+Pour insérer suffisamment d'espace pour que la formule utilise tout l'espace
disponible, on utilise la commande
\series bold
hfill
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
A=B
\backslash
hspace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\begin_inset Formula $\to$
+\begin_inset space \textvisiblespace{}
\end_inset
A
A
\backslash
hspace
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\begin_inset Formula $\to$
+\begin_inset space \textvisiblespace{}
\end_inset
A
A=A
\backslash
hfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B=B
Pour le texte, on peut insérer une espace de longueur variable avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Typographie
\begin_inset space ~
\end_inset
\begin_layout Subsection
Espace après les formules en ligne
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
mathsurround
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
.
La valeur d'une longueur est modifiée avec la commande
\series bold
\backslash
setlength
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
qui a la syntaxe suivante:
\end_layout
\begin_layout Section
Boîtes et cadres
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
fbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
boxed
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
framebox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\series bold
-\lang english
\backslash
raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
boxed
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
A+
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\backslash
framebox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
20mm
\backslash
frac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\end_inset
-\begin_inset Formula \[
-\boxed{A+B=C}\]
+\begin_inset Formula
+\[
+\boxed{A+B=C}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
makebox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
raisebox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
sqrt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
colorbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
{
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\backslash
fbox
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C=D
de la barre d'outils, ou avec le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Style
\begin_inset space ~
\end_inset
\begin_layout Standard
\color red
-\begin_inset Formula \begin{equation}
-\int A=B\label{eq:rouge}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\int A=B\label{eq:rouge}
+\end{equation}
\end_inset
\color green
-\begin_inset Formula \begin{equation}
-\textcolor{red}{\int A=B}\label{eq:rougevert}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\textcolor{red}{\int A=B}\label{eq:rougevert}
+\end{equation}
\end_inset
fcolorbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \[
-\fcolorbox{cyan}{magenta}{A=B}\]
+\begin_inset Formula
+\[
+\fcolorbox{cyan}{magenta}{A=B}
+\]
\end_inset
0.5}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
yellow
\series default
):
-\begin_inset Formula \begin{equation}
-\colorbox{vertfonce}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\colorbox{vertfonce}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}
+\end{equation}
\end_inset
textcolor
\series default
:
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
textcolor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
entiers, c'est ce que l'on nomme une boîte de paragraphe (parbox en anglais).
On la crée avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Boîte
\family default
ou le bouton
has_inner_box 1
inner_pos "t"
use_parbox 1
+use_makebox 0
width "5cm"
special "none"
height "1in"
parbox
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\emph on
b
\emph default
- pour bas (bottom) signifie que la boîte est alignée au sein du texte qui
- l'entoure, au niveau de sa dernière ligne.
+ pour
+\begin_inset Quotes fld
+\end_inset
+
+bas
+\begin_inset Quotes frd
+\end_inset
+
+ (bottom) signifie que la boîte est alignée au sein du texte qui l'entoure,
+ au niveau de sa dernière ligne.
Avec
\emph on
t
\emph default
- pour haut (top) l'alignement se fait avec la première ligne.
+ pour
+\begin_inset Quotes fld
+\end_inset
+
+haut
+\begin_inset Quotes frd
+\end_inset
+
+ (top) l'alignement se fait avec la première ligne.
Si aucune position n'est précisée, la boîte est centrée verticalement,
voir la section
\emph on
\backslash
linewidth
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
est l'épaisseur de ligne qui est active pour tout le document.
Puisque le cadre se trouve à l'extérieur de la boîte de paragraphe, on
doit soustraire de l'épaisseur de ligne deux fois la séparation du cadre
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{equation}
-\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}
+\end{equation}
\end_inset
parbox
\series default
dans cet exemple qui a été commenté en utilisant du texte mathématique:
-\begin_inset Formula \[
-5x-7b=3b\textrm{Ceci est une description. Elle n'est pas séparée de la formule ...}\]
+\begin_inset Formula
+\[
+5x-7b=3b\textrm{Ceci est une description. Elle n'est pas séparée de la formule ...}
+\]
\end_inset
\begin_layout Section
Opérateurs
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
int
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
sum
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
prod
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset space ~
\end_inset
-
-\family default
R
+\family default
+
\begin_inset Foot
status collapsed
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-
-\backslash
-hphantom{in}
+in
\end_layout
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
prod^
\backslash
infty
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
Pour forcer les limites à être après l'opérateur, on place le curseur juste
après l'opérateur et on change le type de limite avec le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Changer
\begin_inset space ~
\begin_layout Standard
Implicitement les limites ont ce type:
-\begin_inset Formula \[
-\sum_{x=0}^{\infty}\frac{1}{x^{2}}\]
+\begin_inset Formula
+\[
+\sum_{x=0}^{\infty}\frac{1}{x^{2}}
+\]
\end_inset
ligne
\family default
:
-\begin_inset Formula \[
-\sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}\]
+\begin_inset Formula
+\[
+\sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}
+\]
\end_inset
ligne
\series default
et elles sont donc placées sous les intégrales:
-\begin_inset Formula \begin{equation}
-\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}
+\end{equation}
\end_inset
subarray
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
substack
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
.
Par exemple, pour obtenir cette expression
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
\sum_{\begin{subarray}{c}
0<k<1000\\
-\\k\,\in\,\mathbb{N}\end{subarray}}^{n}k^{-2}\label{eq:substack}\end{equation}
+\\
+k\,\in\,\mathbb{N}
+\end{subarray}}^{n}k^{-2}\label{eq:substack}
+\end{equation}
\end_inset
^
\series bold
n
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_
\backslash
subarray
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\family default
ou avec le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Lignes
\begin_inset space ~
\end_inset
\backslash
hfill
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
, il se peut qu'il y ait trop d'espace après un opérateur, puisque les caractère
s qui suivent l'opérateur se trouvent après la limite.
+ Pour éviter cela, on peut utiliser la commande
+\series bold
+
+\backslash
+mathclap
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! M !
+\backslash
+mathclap
\end_layout
-\begin_layout Standard
-Pour éviter cela, on peut utiliser la macro suivante dans le préambule LaTeX:
+\end_inset
+
+ qui met la largeur
+\lang english
+of its content
+\lang french
+ à 0
+\begin_inset space \thinspace{}
+\end_inset
+
+pt.
+\begin_inset Newline newline
+\end_inset
+
+Appliqué à la formule
+\begin_inset CommandInset ref
+LatexCommand eqref
+reference "eq:substack"
+
+\end_inset
+
+, on utilise la commande
\end_layout
\begin_layout Standard
\series bold
\backslash
-def
-\backslash
-clap#1{
-\backslash
-hbox to 0pt{
+sum_
\backslash
-hss #1
+mathclap
\backslash
-hss}}
-\begin_inset Newline newline
+substack
+\begin_inset space \textvisiblespace{}
\end_inset
+0<k<1000 Ctrl+Entrée
+\end_layout
+
+\begin_layout Standard
+pour créer la limite inférieure.
+ L'opérande est maintenant juste après l'opérateur de sommation:
+\begin_inset Formula
+\[
+\sum_{\mathclap{\substack{0<k<1000\\
+\\
+k\,\in\,\mathbb{N}
+}
+}}^{n}k^{-2}
+\]
-\backslash
-def
-\backslash
-mathclap {
-\backslash
-mathpalette
-\backslash
-mathclapinternal}
-\begin_inset Newline newline
\end_inset
-\backslash
-def
-\backslash
-mathclapinternal #1#2{
-\backslash
-clap{$
-\backslash
-mathsurround =0pt #1{#2}$}}
\end_layout
\begin_layout Standard
-Elle définit la commande
+\begin_inset VSpace bigskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\lang english
+When several consecutive operators have limits the typesetting of the limits
+ looks often imperfect in the output, see this example:
+\lang french
+
+\begin_inset Formula
+\[
+\text{a)}\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
+\end_inset
+
+
+\lang english
+To improve the typesetting set in the document settings under
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Options
+\family default
+ for the package
+\lang french
+
\series bold
+mathtools
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Paquetages ! mathtools
+\end_layout
+
+\end_inset
+
+
+\lang english
+the option
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+
+always
+\family default
+.
+ Then insert into your formula the command
+\series bold
+\lang french
\backslash
-mathclap
+adjustlimits
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Commandes ! M !
+Commandes ! A !
\backslash
-mathclap
+adjustlimits
\end_layout
\end_inset
- qui met la largeur de la limite à 0
-\begin_inset space \thinspace{}
+
+\lang english
+directly before the first operator.
+ The example will then look like this:
+\lang french
+
+\begin_inset Formula
+\[
+\text{a)}\adjustlimits\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\adjustlimits\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\adjustlimits\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\adjustlimits\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
\end_inset
-pt.
- La syntaxe de la commande est:
+
\end_layout
\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+On décrit comment utiliser une limite pour plusieurs opérateurs dans
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Opérateurs-personnalisés"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Subsection
+Décoration pour les opérateurs
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Opérateurs ! Décoration
+\end_layout
+
+\end_inset
+
+\end_layout
+
+\begin_layout Standard
+Avec les commandes
\series bold
\backslash
-mathclap{limite}
+overset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! O !
+\backslash
+overset
\end_layout
-\begin_layout Standard
-où la limite peut être composée de plusieurs conditions.
+\end_inset
+
+ et
+\series bold
+
+\backslash
+underset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! U !
+\backslash
+underset
\end_layout
-\begin_layout Standard
-Appliqué à la formule
-\begin_inset CommandInset ref
-LatexCommand eqref
-reference "eq:substack"
+\end_inset
+
+ on peut placer des caractères respectivement au dessus ou en dessous d'un
+ opérateur.
+ Avec la commande
+\series bold
+
+\backslash
+sideset
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! S !
+\backslash
+sideset
+\end_layout
\end_inset
-, on utilise la commande
+, on peut placer des caractères avant ou après un grand opérateur.
\end_layout
\begin_layout Standard
+\lang english
+There are 4
+\begin_inset space ~
+\end_inset
+
+variants of
\series bold
\backslash
-sum_
+sideset
+\series default
+:
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+\lang english
+
\backslash
-mathclap{
+sideset
+\series default
+ is used to set characters at the corners of the operator
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+\lang english
+
\backslash
-substack
-\begin_inset ERT
-status collapsed
+sidesetn
+\series default
+ is used to set characters before and/or behind the operator (this variant
+ represents LaTeX's original
+\series bold
-\begin_layout Plain Layout
+\backslash
+sideset
+\series default
+ command)
+\end_layout
+
+\begin_layout Itemize
+
+\series bold
+\lang english
+
+\backslash
+sidesetl
+\series default
+ is used to set characters at the left corners and/or behind the operator
+\end_layout
+
+\begin_layout Itemize
+\series bold
+\lang english
\backslash
-spce
+sidesetr
+\series default
+ is used to set characters at the right corners and/or before the operator
\end_layout
+\begin_layout Standard
+Par exemple la commande
+\series bold
+
+\backslash
+sidesetn
+\begin_inset space \textvisiblespace{}
\end_inset
-0<k<1000 Ctrl+Entrée
+
+\backslash
+sum
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\begin_inset Formula $\to$
+\end_inset
+
+'
+\begin_inset Formula $\to$
+\end_inset
+
+_k=1
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
+^
+\series bold
+n
+\series default
+ donne:
+\begin_inset Formula
+\[
+\sideset{}{'}\sum_{k=1}^{n}
+\]
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
-pour créer la limite inférieure.
- L'opérande est maintenant juste après l'opérateur de sommation:
-\begin_inset Formula \[
-\sum_{\mathclap{\substack{0<k<1000\\
-\\k\,\in\,\mathbb{N}}
-}}^{n}k^{-2}\]
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+Nota:
+\backslash
+sideset
+\series default
+ ne peut être utilisé que pour les grands opérateurs, il ne convient pas
+ pour les opérateurs binaires.
+\end_layout
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset VSpace bigskip
+Avec
+\series bold
+
+\backslash
+overset
+\series default
+ et
+\series bold
+
+\backslash
+underset
+\series default
+ on peut aussi décorer des symboles et des caractères.
+ Pour exemple la commande
+\series bold
+
+\backslash
+overset
+\begin_inset space \textvisiblespace{}
\end_inset
-On décrit comment utiliser une limite pour plusieurs opérateurs dans
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Opérateurs-personnalisés"
+\backslash
+maltese
+\begin_inset space \textvisiblespace{}
\end_inset
-.
+
+\series default
+
+\begin_inset Formula $\uparrow$
+\end_inset
+
+
+\series bold
+a
+\series default
+ donne:
+\begin_inset Formula
+\[
+\overset{a}{\maltese}
+\]
+
+\end_inset
+
+
\end_layout
\begin_layout Subsection
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\family default
du menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Caractères
\begin_inset space ~
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
DeclareMathOperator
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
:
-\begin_inset Formula \[
-\Losange_{n=1}^{\infty}\]
+\begin_inset Formula
+\[
+\Losange_{n=1}^{\infty}
+\]
\end_inset
mathop
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathbin
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}\]
+\begin_inset Formula
+\[
+\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
+\]
\end_inset
sum
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^N
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\begin_layout Section
Polices de caractères
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="6" columns="3">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<lyxtabular version="3" rows="7" columns="3">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
mathbb
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ABC
\backslash
mathbf
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
AbC
\backslash
boldsymbol
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
AbC
\backslash
mathcal
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ABC
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
mathfrak
-\begin_inset ERT
-status collapsed
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+AbC
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\mathfrak{AbC}$
+\end_inset
-\backslash
-spce
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
+-
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+mathscr
+\series bold
+
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+
+\series default
AbC
\end_layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\mathfrak{AbC}$
+\begin_inset Formula $\mathscr{AbC}$
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
mathit
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
AbC
\backslash
mathrm
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
AbC
\backslash
mathsf
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
AbC
\backslash
mathtt
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
AbC
\begin_layout Standard
Les commandes de style fonctionnent aussi pour des caractères dans des construct
ions mathématiques:
-\begin_inset Formula \[
-\mathfrak{A=\frac{b}{C}}\]
+\begin_inset Formula
+\[
+\mathfrak{A=\frac{b}{C}}
+\]
\end_inset
\begin_layout Standard
À la place des commandes de style, on peut utiliser le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Style
\begin_inset space ~
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{équation avec \textbackslash mathbf}\]
+\begin_inset Formula
+\[
+\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{équation avec \textbackslash mathbf}
+\]
\end_inset
boldsymbol
\series default
:
-\begin_inset Formula \[
-\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{équation avec \textbackslash boldsymbol}}\]
+\begin_inset Formula
+\[
+\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{équation avec \textbackslash boldsymbol}}
+\]
\end_inset
\backslash
boldmath
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
en mode TeX.
Pour terminer l'environnement, on insère la commande
\series bold
\backslash
unboldmath
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
toujours en mode TeX.
\begin_inset ERT
status collapsed
\end_inset
-\begin_inset Formula \[
-\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{équation dans un environnement boldmath}\]
+\begin_inset Formula
+\[
+\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{équation dans un environnement boldmath}
+\]
\end_inset
\begin_layout Subsection
Formules en couleur
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-{\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}\]
+\begin_inset Formula
+\[
+{\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}
+\]
\end_inset
textcolor
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \[
-\int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}\]
+\begin_inset Formula
+\[
+\int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
scriptsize
\series default
-, et
+ et
\series bold
\backslash
\end_layout
\begin_layout Standard
-À l'intérieur de la formule, on ne peut changer la taille que des caractères
- ou des symboles qui sont en mode texte mathématique.
- Pour le faire, on insère la commande de changement de taille en mode texte
- mathématique.
- Tous les caractères qui suivent jusqu'à la fin du texte mathématique ou
- jusqu'à ce que la taille soit de nouveau modifiée, auront la taille choisie.
- Deux exemples:
-\begin_inset VSpace -2mm
-\end_inset
+Dans un formule, la taille peut être modifiée grâce aux commandes suivantes:
+\end_layout
+\begin_layout Standard
+\noindent
+\align center
+\begin_inset Tabular
+<lyxtabular version="3" rows="5" columns="2">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
+Commande
\end_layout
-\begin_layout Standard
-\begin_inset ERT
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Résultat
+\begin_inset Note Note
status collapsed
\begin_layout Plain Layout
+\series bold
\backslash
-huge
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
-\begin_inset Formula \[
-A=\frac{B}{c}\cdot\maltese\]
+\end_layout
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+\begin_layout Plain Layout
-\begin_inset Formula \[
-\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}\]
+\backslash
+displaystyle
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! D !
+\backslash
+displaystyle
+\end_layout
\end_inset
-\begin_inset ERT
-status collapsed
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{6.5mm}{}{\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-5.5mm}{}$
+\end_inset
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
\backslash
-normalsize
+textstyle
\end_layout
\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-4mm}{}$
+\end_inset
\end_layout
-\begin_layout Standard
-\begin_inset VSpace medskip
\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
-Avant les deux formules, on a inséré la commande
-\series bold
+\begin_layout Plain Layout
\backslash
-huge
-\series default
-.
- La commande utilisée pour la deuxième formule est:
-\begin_inset Newline newline
+scriptstyle
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
\end_inset
-\series bold
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
\backslash
-maltese
-\begin_inset ERT
-status collapsed
+scriptscriptstyle
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
\begin_layout Plain Layout
+\begin_inset Formula $\raisebox{4.5mm}{}{\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}\raisebox{-3.5mm}{}$
+\end_inset
-\backslash
-spce
\end_layout
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
\end_inset
-A Alt+M M
-\backslash
-Large
+
+\end_layout
+
+\begin_layout Standard
+Après la saisie de ces commandes, une boîte bleue apparaît, où doivent être
+ saisies les parties de formule concernées.
+\end_layout
+
+\begin_layout Standard
+Il existe une autre méthode pour changer la taille de la police, qui ne
+ s'applique que pour modifier la taille des symboles et des lettres dans
+ le texte mathématique.
+ Pour l'utiliser, une des commandes usuelles de modification de taille de
+ texte vues plus haut est insérée en mode mathématique: tous les caractères
+ qui suivent jusqu'à la fin du texte mathématique ou jusqu'à ce que la taille
+ soit de nouveau modifiée, auront la taille choisie.
+ Deux exemples:
+\begin_inset VSpace -2mm
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
\begin_inset ERT
status collapsed
\backslash
-spce
+huge
\end_layout
\end_inset
-\backslash
-maltese
+\begin_inset Formula
+\[
+A=\frac{B}{c}\cdot\maltese
+\]
+
+\end_inset
+
+
+\begin_inset Formula
+\[
+\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
+\]
+
+\end_inset
+
+
\begin_inset ERT
status collapsed
\backslash
-spce
+normalsize
+\end_layout
+
+\end_inset
+
+
\end_layout
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+Avant les deux formules, on a inséré la commande
+\series bold
+
+\backslash
+huge
+\series default
+.
+ La commande utilisée pour la deuxième formule est:
+\begin_inset Newline newline
\end_inset
+\series bold
+
\backslash
-textit
-\begin_inset ERT
-status collapsed
+maltese
+\begin_inset space \textvisiblespace{}
+\end_inset
-\begin_layout Plain Layout
+A Alt+M M
+\backslash
+Large
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-spce
-\end_layout
+maltese
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+\backslash
+textit
+\begin_inset space \textvisiblespace{}
\end_inset
A
Alt+M M
\backslash
tiny
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
maltese
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
textit
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
\begin_layout Section
Les lettres grecques
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
de la barre d'outils mathématiques.
+ Toutes les normes internationales de typographie indiquent que les lettres
+ grecques en mathématique doivent être écrites en italique.
+ Dans certaines langues comme le russe et le français, elles sont parfois
+ quand même en lettres droites.
\end_layout
\begin_layout Subsection
Lettres minuscules
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_layout
\begin_layout Standard
-On explique comment obtenir des lettres grecques droites dans
+On explique comment obtenir des lettres grecques droites spéciales dans
+
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:minuscules-grecques-droites"
.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Subsection
Lettres majuscules
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
varGamma
\series default
- produit:
+ produit
\begin_inset Formula $\varGamma$
\end_inset
+.
+ Une autre méthode consiste à charger le paquetage
+\series bold
+fixmath
+\series default
+
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+fixmath
+\series default
+ fait partie du paquetage
+\series bold
+was
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Paquetages ! was
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
\end_layout
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Paquetages ! fixmath
+\end_layout
+
+\end_inset
+
+ avec la ligne suivante dans le préambule LaTeX :
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+usepackage{fixmath}
+\end_layout
+
+\begin_layout Standard
+Toutes les majuscules grecques du document seront alors mises en italique.
+\end_layout
+
\begin_layout Subsection
Lettres grasses
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
boldsymbol
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
être trouvée dans
\begin_inset CommandInset citation
LatexCommand cite
-key "Symbole"
+key "Symbols"
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset VSpace medskip
\end_inset
-D'autres symboles sont listés dans
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Caractères-spéciaux-divers"
-
-\end_inset
-.
\end_layout
\begin_layout Standard
\begin_layout Subsection
Le symbole de l'Euro €
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
eurosym
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
euro
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
officialeuro
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
-<column alignment="center" valignment="top" width="0">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
stackrel
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
A(r)
\backslash
stackrel
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
r
to
\backslash
infty
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\backslash
approx
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="4">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_layout Subsection
Fonctions définies par l'utilisateur
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
sgn}{sgn}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Subsection
Les limites
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
lim
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
lim_x
\backslash
to
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
x=B
\begin_layout Standard
Dans une formule hors ligne la valeur de la limite est placée comme d'habitude,
en dessous de la fonction:
-\begin_inset Formula \[
-\lim_{x\to A}x=B\]
+\begin_inset Formula
+\[
+\lim_{x\to A}x=B
+\]
\end_inset
\end_layout
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\lang english
+How to adjust the typesetting of the limits see
+\lang french
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:Limites-des-opérateurs"
+
+\end_inset
+
+.
+\end_layout
+
\begin_layout Subsection
-Les fonctions modulo-
-\begin_inset Index
+Les fonctions modulo
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Les variantes pour une formule hors ligne:
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
\underline{\textrm{Commande}\raisebox{-0.9mm}{}} & & \underline{\textrm{Résultat}}\\
-\mathrm{a\backslash mod\textrm{\spce}b} & & a\mod b\\
-\mathrm{a\backslash pmod\textrm{\spce}b} & & a\pmod b\\
-\mathrm{a\backslash bmod\textrm{\spce}b} & & a\bmod b\\
-\mathrm{a\backslash pod\textrm{\spce}b} & & a\pod b\end{align*}
+\mathrm{a\backslash mod\textrm{␣}b} & & a\mod b\\
+\mathrm{a\backslash pmod\textrm{␣}b} & & a\pmod b\\
+\mathrm{a\backslash bmod\textrm{␣}b} & & a\bmod b\\
+\mathrm{a\backslash pod\textrm{␣}b} & & a\pod b
+\end{align*}
\end_inset
\begin_layout Standard
Dans une formule en ligne, il y a moins d'espace inséré avant le nom de
la fonction, quelque soit la variante.
+
+\lang english
+By default the modulo-functions take only the first following character
+ into account.
+ To use more than one character, one has to put them into TeX-braces:
+\lang french
+
+\begin_inset Formula
+\begin{align*}
+\underline{\textrm{Commande}\raisebox{-0.9mm}{}} & & \underline{\textrm{Résultat}}\\
+\mathrm{a\backslash pod\textrm{␣}bcd} & & a\pod bcd\\
+\mathrm{a\backslash pod\backslash\{bc\to d} & & a\pod{bc}d
+\end{align*}
+
+\end_inset
+
+
\end_layout
\begin_layout Section
Caractères spéciaux
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
AA
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\end_inset
`
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\end_inset
`
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="block" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="block" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
u
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
b
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
ee
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
-<column alignment="block" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="block" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
H
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
~e
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
v
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
d
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
c
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
e
\backslash
t
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
sz
textcircled
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\begin_layout Subsection
Nombres en minuscules
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
oldstylenums
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
-\begin_layout Subsection
-Caractères spéciaux divers
-\begin_inset CommandInset label
-LatexCommand label
-name "sub:Caractères-spéciaux-divers"
-
-\end_inset
-
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Caractères spéciaux ! divers
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Les caractères suivants ne peuvent être insérés que dans des formules en
- utilisant les commandes suivantes:
-\end_layout
-
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Commande
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Résultat
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\mathcircumflex$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-_
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\_$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
-\end_inset
-
-
-\backslash
-circ
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-
-\backslash
-@°
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $^{\circ}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-Le symbole degré ° peut être inséré directement à condition que le préambule
- LaTeX contienne la ligne suivante
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-Plus d'information à ce sujet dans
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "sub:Caractères-texte"
-
-\end_inset
-
-.
-\end_layout
-
-\end_inset
-
-:
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-
-\backslash
-DeclareInputtext{176}{
-\backslash
-ifmmode^
-\backslash
-circ
-\backslash
-else
-\backslash
-textdegree
-\backslash
-fi}
-\end_layout
-
\begin_layout Section
Styles de formules
\begin_inset CommandInset label
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mathindent
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
.
+ L'environnement
+\series bold
+ align
+\series default
+ est recommandé car il produit une sortie typographiquement correcte dans
+ tous les cas.
\end_layout
\begin_layout Standard
Il y a d'autres environnement de formules multi-lignes qui peuvent être
créés en passant par le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Math
\family default
.
de la barre d'outils mathématique ou bien le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Lignes
\begin_inset space \thinspace{}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Il n'y a parfois pas assez d'espace entre les lignes d'une formule multi-lignes:
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0\end{eqnarray*}
+4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0
+\end{eqnarray*}
\end_inset
\end_layout
+\begin_layout Standard
+Pour modifier l'interligne pour toutes les lignes d'une formule, on doit
+ changer la valeur de la longueur
+\series bold
+
+\backslash
+jot
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! J !
+\backslash
+jot
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+vspace{4mm}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+.
+ La définition est :
+\begin_inset Formula $\mathrm{interligne}=6\,\mathrm{pt}+\backslash\mathrm{jot}$
+\end_inset
+
+.
+ La valeur prédéfinie de
+\series bold
+
+\backslash
+jot
+\series default
+est de 3
+\begin_inset space \thinspace{}
+\end_inset
+
+pt.
+ Pour créer un interligne supplémentaire de 3
+\begin_inset space \thinspace{}
+\end_inset
+
+mm, comme dans l'exemple précédent, on insère la commande
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+setlength{
+\backslash
+jot}{3mm+3pt}
+\end_layout
+
+\begin_layout Standard
+en Code TeX avant la formule.
+ Cela exige que le paquetage LaTeX
+\series bold
+calc
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+
+\series bold
+calc
+\series default
+fait partie de toutes les distributions standard de LaTeX.
+\end_layout
+
+\end_inset
+
+
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Paquetages ! calc
+\end_layout
+
+\end_inset
+
+ ait été chargé dans le préambule LaTeX avec la ligne
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+usepackage{calc}
+\end_layout
+
\begin_layout Standard
On obtient alors:
\begin_inset ERT
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
-4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0\end{eqnarray*}
+4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0
+\end{eqnarray*}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
arraycolsep
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & B\\
-C & \ne & A\end{eqnarray*}
+C & \ne & A
+\end{eqnarray*}
\end_inset
\end_inset
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & B\\
-C & \ne & A\end{eqnarray*}
+C & \ne & A
+\end{eqnarray*}
\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsubsection
Formules longues
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Quand un des membres de l'équation est beaucoup plus court que la largeur
de la ligne, c'est lui qui est choisi comme membre de gauche et le membre
de droite est écrit sur deux lignes:
-\begin_inset Formula \begin{eqnarray}
+\begin_inset Formula
+\begin{eqnarray}
H & = & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\nonumber \\
- & & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:courtlong}\end{eqnarray}
+ & & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:courtlong}
+\end{eqnarray}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
lefteqn
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
.
Elle est insérée dans la première colonne de la première ligne et a comme
effet que tout ce qui sera inséré après va recouvrir les colonnes qui suivent:
-\begin_inset Formula \begin{eqnarray}
+\begin_inset Formula
+\begin{eqnarray}
\lefteqn{4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}}\nonumber \\
& & -\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber \\
- & & =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}\end{eqnarray}
+ & & =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}
+\end{eqnarray}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Pour des parenthèses ou des crochets entourant des expressions réparties
sur plusieurs lignes, on rencontre le problème suivant:
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
- & & \left.\cdots+B-D\right]\end{eqnarray*}
+ & & \left.\cdots+B-D\right]
+\end{eqnarray*}
\end_inset
right.
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
vphantom
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
prod
\series default
^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
infty
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
_R=1}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
- & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]\end{eqnarray*}
+ & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
+\end{eqnarray*}
\end_inset
\begin_layout Standard
Les environnement Align sont créés avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Math
\family default
.
Avec le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Change le type de formule
\family default
, respectivement, soit le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Lignes & colonnes
\family default
.
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\family default
dans une formule ou en utilisant le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Environnement
\begin_inset space ~
\begin_layout Standard
Un exemple avec deux formules mises côte-à-côte, créé avec un environnement
align à quatre colonnes:
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
A & =\sin(B) & C & =D\\
-C & \ne A & B & \ne D\end{align*}
+C & \ne A & B & \ne D
+\end{align*}
\end_inset
\begin_layout Subsubsection
L'environnement alignat
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
cm au début de la deuxième formule:
-\begin_inset Formula \begin{alignat*}{2}
+\begin_inset Formula
+\begin{alignat*}{2}
A & =\sin(B) & \hspace{1cm}C & =D\\
-C & \ne A & B & \ne D\end{alignat*}
+C & \ne A & B & \ne D
+\end{alignat*}
\end_inset
colonne, cet environnement est particulièrement adapté aux cas où on a
trois colonnes ou plus côte-à-côte.
+\end_layout
+
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
\end_layout
\begin_layout Subsubsection
-Environnement falign
+Environnement flalign
\begin_inset CommandInset label
LatexCommand label
name "sub:Environnement-Flalign"
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Dans cet environnement les deux premières colonnes sont placées le plus
à gauche possible et les deux dernière le plus à droite possible.
Un exemple:
-\begin_inset Formula \begin{flalign*}
+\begin_inset Formula
+\begin{flalign*}
A & =1 & B & =2 & C & =3\\
-X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4\end{flalign*}
+X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
+\end{flalign*}
\end_inset
\end_inset
indentée:
-\begin_inset Formula \begin{flalign}
-\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}\end{flalign}
+\begin_inset Formula
+\begin{flalign}
+\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
+\end{flalign}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
est aligné à gauche.
Le contenu de la boîte du milieu est centré et apparaît un peu plus petit,
parce qu'il est prévu pour y mettre seulement des opérateurs de relation.
-\begin_inset Formula \begin{eqnarray*}
+\begin_inset Formula
+\begin{eqnarray*}
\frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
AB & AB & AB\\
-A & = & A\end{eqnarray*}
+A & = & A
+\end{eqnarray*}
\end_inset
\begin_layout Subsection
Environnement gather
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Cet environnement consiste seulement en une colonne centrée.
Chaque ligne peut être numérotée.
-\begin_inset Formula \begin{gather}
+\begin_inset Formula
+\begin{gather}
A=1\\
-X=\textrm{-}1\end{gather}
+X=\textrm{-}1
+\end{gather}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
dans un environnement multline:
-\begin_inset Formula \begin{multline}
+\begin_inset Formula
+\begin{multline}
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
+=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+\end{multline}
\end_inset
\backslash
shoveright
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
et
\series bold
\backslash
shoveleft
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
une ligne centrée peut être alignée respectivement à droite ou à gauche.
Les commandes sont utilisées de la façon suivante:
\end_layout
\backslash
multlinegap
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
précise la distance entre le début de la première ligne et la marge de
gauche.
La valeur prédéfinie est 0
\end_inset
-\begin_inset Formula \begin{multline}
+\begin_inset Formula
+\begin{multline}
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
\shoveleft{-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}\\
-=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
+=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
+\end{multline}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
.
Ils peuvent être insérés en utilisant le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Math
\family default
ou en utilisant les commandes décrites dans cette section.
correspondants, à part le fait que l'on peut ajouter d'autres portions
de formules après eux.
Un exemple:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
-\Delta E\Delta t & \ge\frac{\hbar}{2}\end{aligned}
-\right\} \textrm{Relations d'incertitude}\]
+\Delta E\Delta t & \ge\frac{\hbar}{2}
+\end{aligned}
+\right\} \textrm{Relations d'incertitude}
+\]
\end_inset
\backslash
aligned
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
.
Une boîte violette apparaît autour de la boîte de formule dans laquelle
on peut ajouter des lignes et des colonnes.
\end_inset
dans l'environnement aligned:
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
\begin{aligned}H=\; & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\\
- & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\end{aligned}
+ & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}
+\end{aligned}
\end{equation}
\end_inset
alignedat
\series default
,
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
gathered
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
split
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
intertext
-\begin_inset Index
+\series default
+
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-
-\series default
avec la syntaxe suivante:
\end_layout
doit être au début d'une ligne pour se trouver dans la sortie final au
dessus de celle-ci.
Un exemple où le texte a été inséré au début de la deuxième ligne:
-\begin_inset Formula \begin{align}
+\begin_inset Formula
+\begin{align}
I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
-\intertext{\text{l'intégrande est symétrique autour de \ensuremath{\phi=\pi}, donc}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\end{align}
+\intertext{\text{l'intégrande est symétrique autour de \ensuremath{\phi=\pi}, donc}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
+\end{align}
\end_inset
\begin_layout Section
Numérotation des formules
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
On peut créer des formules numérotées avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Formule
\begin_inset space ~
N).
On peut aussi numéroter des formules existantes avec le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
(Dés)Activer
\begin_inset space ~
La numérotation peut ensuite être contrôlée pour chaque ligne avec le menu
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
(Dés)Activer
\begin_inset space ~
ligne
\family default
- (raccourci
+ (raccourci
+\begin_inset Newline newline
+\end_inset
+
+
\family sans
Alt+M
\begin_inset space ~
\begin_layout Subsection
Références croisées
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
On peut faire référence à toute formule ayant une étiquette.
On ajoute une étiquette avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Étiquette
\family default
ou avec le bouton
de la barre d'outils.
Pour cela, le curseur doit se trouver à l'intérieur d'une formule hors
ligne.
+ Vous pouvez également effectuer un clic droit sur la formule et choisir
+
+\family sans
+Étiquette d'équation
+\family default
+\lang english
+.
+
+\lang french
Une fenêtre de dialogue apparaît affichant le préfixe
\series bold
eq:
et rend plus facile la recherche d'une étiquette dans les grand documents
en l'identifiant comme une étiquette de formule et pas, par exemple comme
une étiquette de section.
- Pour modifier l'étiquette on doit repasser par le menu
+ Pour modifier l'étiquette vous devez repasser par le menu
\family sans
-Insérer\SpecialChar \menuseparator
-Étiquette
+Insertion\SpecialChar \menuseparator
+Étiquette
+\family default
+ou effectuer un clic droit sur la formule et choisir
+\family sans
+Étiquette d'équation
\family default
.
\end_layout
\begin_layout Standard
On insère une référence croisée avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Référence
\begin_inset space ~
\end_inset
\begin_layout Subsection
Sous-numérotation
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Un exemple:
-\begin_inset Formula \begin{equation}
-A=C-B\label{eq:a}\end{equation}
+\begin_inset Formula
+\begin{equation}
+A=C-B\label{eq:a}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-B=C-A\label{eq:b}\end{equation}
+\begin_inset Formula
+\begin{equation}
+B=C-A\label{eq:b}
+\end{equation}
\end_inset
-\begin_inset Formula \begin{equation}
-C=A+B\label{eq:c}\end{equation}
+\begin_inset Formula
+\begin{equation}
+C=A+B\label{eq:c}
+\end{equation}
\end_inset
addtocounter{equation}{-1}
\backslash
begin{subequations}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{eqnarray}
+\begin_inset Formula
+\begin{eqnarray}
A & = & (B-Z)^{2}=(B-Z)(B-Z)\label{eq:d}\\
& = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
- & = & B^{2}-2BZ+Z^{2}\label{eq:f}\end{eqnarray}
+ & = & B^{2}-2BZ+Z^{2}\label{eq:f}
+\end{eqnarray}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
tag
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
:
-\begin_inset Formula \begin{equation}
-A+B=C\tag{quelquechose}\label{eq:tag}\end{equation}
+\begin_inset Formula
+\begin{equation}
+A+B=C\tag{quelquechose}\label{eq:tag}
+\end{equation}
\end_inset
tag
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
tag*
\series default
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
quelquechose
\series default
à la place, l'astérisque supprime les parenthèses autour du texte:
-\begin_inset Formula \[
-A+B=C\tag*{quelquechose}\]
+\begin_inset Formula
+\[
+A+B=C\tag*{quelquechose}
+\]
\end_inset
@addtoreset{equation}{part}
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
carlisle
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
@removefromreset
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
numberwithin
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{equation}
-A+B=C\end{equation}
+\begin_inset Formula
+\begin{equation}
+A+B=C
+\end{equation}
\end_inset
theequation}{
\backslash
arabic{equation}}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Numérotation avec des chiffres romains ou des lettres
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
renewcommand
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\backslash
roman{equation}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Roman
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
alph
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Alph
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Plain Layout
\series bold
+\color none
Note:
\series default
- On peut numéroter au maximum 26 formules avec des lettres latines dans
- un même document.
-\end_layout
-
+ on peut numéroter au maximum 26
+\begin_inset space ~
\end_inset
-
+formules avec des lettres latines dans un même document.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage pagebreak
\end_inset
\end_layout
\begin_layout Standard
-\begin_inset Formula \begin{equation}
-A=\textrm{romains minuscules}\end{equation}
+\begin_inset Formula
+\begin{equation}
+A=\textrm{romains minuscules}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-B=\textrm{romains majuscules}\label{eq:Rom}\end{equation}
+\begin_inset Formula
+\begin{equation}
+B=\textrm{romains majuscules}\label{eq:Rom}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-C=\textrm{latines minuscules}\end{equation}
+\begin_inset Formula
+\begin{equation}
+C=\textrm{latines minuscules}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Formula \begin{equation}
-D=\textrm{latines majuscules}\label{eq:Lat}\end{equation}
+\begin_inset Formula
+\begin{equation}
+D=\textrm{latines majuscules}\label{eq:Lat}
+\end{equation}
\end_inset
theequation}{
\backslash
arabic{equation}}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{equation}
-E=\textrm{Arabes}\end{equation}
+\begin_inset Formula
+\begin{equation}
+E=\textrm{Arabes}
+\end{equation}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
.
La réaction chimique peut être mise sous la forme:
-\begin_inset Formula \begin{equation}
-\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:reaction-chimique}\end{equation}
+\begin_inset Formula
+\begin{equation}
+\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:reaction-chimique}
+\end{equation}
\end_inset
\end_layout
\begin_layout Standard
-Une méthode plus paratique pour mettre en forme des formules chimiques est
+Une méthode plus pratique pour mettre en forme des formules chimiques est
d'utiliser la commande
\series bold
ce
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
- qui est disponibles si le paquetage LaTeX
+ qui est disponible si le paquetage LaTeX
\series bold
mhchem
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
H2CO3
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
SO4^2-
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
(NH4)2S
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
KCr(SO4)2.12H2O
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A-B
\backslash
dbond
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
\backslash
tbond
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
D
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
^227
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
CO2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
<=>
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2CO
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
CO2
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
C
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
->[
alpha][
\backslash
beta]
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2CO}
\begin_layout Plain Layout
\series bold
+\color none
Note:
\series default
L'insertion d'une formule mathématique dans une boîte
\end_inset
+\end_layout
+
+\begin_layout Standard
+
+\lang english
+\begin_inset Note Greyedout
+status open
+
+\begin_layout Plain Layout
+
+\series bold
+\color none
+Nota:
+\series default
+ il n'est pas possible avec LyX d'utiliser le caractère ^ pour obtenir une
+ flèche vers le haut, comme il est expliqué dans le manuel de
+\series bold
+mhchem
+\series default
+ On doit utiliser à la place une espace fine négative suivie de la commande
+
+\series bold
+
+\backslash
+uparrow
+\series default
+:
+\begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
\backslash
ce
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
2Na+
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
+
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
SO4^2-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
->
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
Na2SO4
\end_layout
\begin_layout Standard
-
-\lang english
-To create multiline chemical equations first a multiline formula is created
- as described in
-\lang french
-
+Pour créer des équations chimiques multilignes, on crée d'abord une formule
+ multiligne comme cela est décrit dans
\begin_inset CommandInset ref
LatexCommand ref
reference "sec:Formules-multi-lignes"
\end_inset
.
-
-\lang english
-Afterwards the command
+ Ensuite on utilise la commande
\series bold
\backslash
ce
\series default
- is used in every small blue box of the formula.
-
-\lang french
+ dans chaque petite boîte bleue de la formule.
\begin_inset CommandInset ref
LatexCommand eqref
\end_inset
- sont un exemple
-\lang english
-of a multi-stage chemical reaction where every equation has its own number.
-\lang french
-
-\begin_inset Formula \begin{eqnarray}
+ sont un exemple d'une réaction chimique multi-étape où chaque équation
+ a son propre numéro.
+\begin_inset Formula
+\begin{eqnarray}
\ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-reaction-1}\\
-\ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}\end{eqnarray}
+\ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}
+\end{eqnarray}
\end_inset
cf
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
.
\end_layout
-\begin_layout Standard
-\begin_inset Newpage newpage
-\end_inset
-
-
-\end_layout
-
\begin_layout Section
Diagrammes
\end_layout
\begin_layout Subsection
Les diagrammes amscd
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Des diagrammes de ce type visualisent les relations par des lignes verticales
ou horizontales ou encore des flèches:
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\begin{CD}A@>>>B@>>>C\\
@AAA@.@VVV\\
-F@<<<E@<<<D\end{CD}\]
+F@<<<E@<<<D
+\end{CD}
+\]
\end_inset
\backslash
CD
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
+\begin_inset Formula
+\[
\begin{CD}A@>j>>B@>>k>C@=F\\
@AmAA@.@VV{V}V@|\\
-D@<<j<E@>k>>F@=C\end{CD}\]
+D@<<j<E@>k>>F@=C
+\end{CD}
+\]
\end_inset
\backslash
CD
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A@>j>>B@>>k>C@=F Ctrl+Entrée
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
CD
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
CD
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Subsection
Les diagrammes xymatrix
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset space ~
\end_inset
-spécifiques\SpecialChar \menuseparator
-Manuel
-\begin_inset space ~
+spécifiques
+\family default
+.
+\end_layout
+
+\begin_layout Subsection
+Les diagrammes
+\noun on
+ Feynman
+\noun default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Diagrammes ! Feynman
+\end_layout
+
\end_inset
-pour
+
+\end_layout
+
+\begin_layout Standard
+Pour pouvoir utiliser des diagrammes
+\noun on
+Feynman
+\noun default
+, on doit installer le paquetage LaTeX
+\series bold
+feyn
+\series default
+.
+ Un diagramme
+\noun on
+Feynman
+\noun default
+ est créée en insérant la commande
+\series bold
+
+\backslash
+Diagram
+\series default
+ dans une formule.
+ Ensuite vous pouvez ajouter de nouvelles lignes et de nouvelles colonnes
+ comme pour une matrice normale, voir
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sec:Matrices"
+
+\end_inset
+
+.
+\end_layout
+
+\begin_layout Standard
+On trouvera des exemples montrant comment créer des diagrammes de
+\noun on
+Feynman
+\noun default
+ avec LyX dans le
+\emph on
+Manuel des diagrammes de Feynman
+\emph default
+ que vous trouverez dans le menu
+\family sans
+Aide\SpecialChar \menuseparator
+Manuels
\begin_inset space ~
\end_inset
-XY-pic
+spécifiques
\family default
.
\end_layout
+\begin_layout Standard
+\begin_inset Newpage newpage
+\end_inset
+
+
+\end_layout
+
\begin_layout Section
Commandes personnalisées
\begin_inset CommandInset label
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
newcommand
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-phantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
newcommand
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
A
\backslash
gr
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
B
{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Subsection
Macros en mode mathématique
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Par exemple, supposons que les solutions de l'équation du second degré
apparaissent souvent dans votre document sous des formes variées.
La forme générale de l'équation du second degré est:
-\begin_inset Formula \[
-0=\lambda^{2}+p\lambda+q\]
+\begin_inset Formula
+\[
+0=\lambda^{2}+p\lambda+q
+\]
\end_inset
La forme générale de ses solutions est:
-\begin_inset Formula \[
-\lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}\]
+\begin_inset Formula
+\[
+\lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}
+\]
\end_inset
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
newcommand
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Standard
Une macro est créée en utilisant le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Macro
\family default
\end_inset
de la barre d'outils macro.
- On peut avoir au maximum 9 arguments.
+ On peut avoir au maximum 9
+\begin_inset space ~
+\end_inset
+
+arguments.
Les arguments optionnels sont créés avec le bouton
\begin_inset Graphics
filename ../../images/math-macro-add-optional-param.png
\end_layout
\begin_layout Standard
-\begin_inset Formula \[
-\qG x{\ln(x)}B\]
+\begin_inset Formula
+\[
+\qG x{\ln(x)}B
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" islongtable="true" longtabularalignment="center">
+<column alignment="left" valignment="top">
<column alignment="left" valignment="top" width="85col%">
<row interlinespace="2.5mm">
<cell alignment="center" valignment="top" usebox="none">
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-remove-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-add-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-make-optional.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
-Éditer\SpecialChar \menuseparator
+\family sans
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
macro\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-make-nonoptional.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
-Éditer\SpecialChar \menuseparator
+\family sans
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
macro\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-remove-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-add-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-remove-greedy-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
-Éditer\SpecialChar \menuseparator
+\family sans
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
macro\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-append-greedy-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
-Éditer\SpecialChar \menuseparator
+\family sans
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
macro\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_layout Plain Layout
\begin_inset Graphics
filename ../../images/math-macro-add-greedy-optional-param.png
- BoundingBox 0bp 5bp 20bp 25bp
rotateOrigin center
\end_inset
\begin_layout Plain Layout
\family sans
-Éditer\SpecialChar \menuseparator
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-hphantom{
-\end_layout
-
-\end_inset
-
-Éditer\SpecialChar \menuseparator
+\family sans
+Édition\SpecialChar \menuseparator
Math\SpecialChar \menuseparator
Définition
\begin_inset space ~
macro\SpecialChar \menuseparator
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\end_layout
+\begin_layout Section
+Système de calcul formel
+\end_layout
+
\begin_layout Standard
-\begin_inset Newpage newpage
+LyX permet l'échange d'expressions mathématiques écrites avec l'éditeur
+ mathématique de LyX et des applications externes ou des programmes écrits
+ par l'utilisateur.
+ Actuellement les applications qui sont gérées sont
+\family sans
+Maple
+\family default
+,
+\family sans
+Mathematica
+\family default
+,
+\family sans
+Maxima
+\family default
+ et
+\family sans
+Octave
+\family default
+.
+ Notez que les constructions mathematiques qui sont acceptées sont limitées
+ à des cas très simples.
+\end_layout
+
+\begin_layout Subsection
+Utilisation
+\end_layout
+
+\begin_layout Standard
+Écrivez une expression dans une formule puis allez dans
+\family sans
+Édition\SpecialChar \menuseparator
+Maths
+\family default
+\SpecialChar \menuseparator
+
+\family sans
+Appel à un logiciel de calcul formel
+\family default
+, choisissez une des applications que vous avez installé sur votre ordinateur.
+ Après cela, le résultat du calcul devrait apparaître sur le côté droit
+ de l'expression avec l'opérateur
+\begin_inset Quotes fld
\end_inset
+=
+\begin_inset Quotes frd
+\end_inset
+.
+\end_layout
+
+\begin_layout Standard
+Voici quelques exemples très simples ( avec les résultats de
+\family sans
+Maxima
+\family default
+ ) pour montrer quel genre de calculs on peut effectuer :
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\det\left[\begin{array}{ccc}
+1 & 6 & 7\\
+2 & 5 & 8\\
+3 & 4 & 17
+\end{array}\right]=-56$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Itemize
+\begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
+\end_inset
+
+
+\end_layout
+
+\begin_layout Subsection
+Raccourci clavier
+\end_layout
+
+\begin_layout Standard
+Actuellement, il n'y a pas de raccourci clavier pour appeler les applications
+ algébriques.
+ On peut facilement attacher un raccourci à la fonction math-extern de LyX
+ ( voir le manuel
+\family sans
+\emph on
+Fonctions LyX
+\family default
+\emph default
+ ).
+ On peut par exemple attacher la touche
+\family sans
+Entrée
+\family default
+ à l'intérieur de l'éditeur mathématique à
+\family sans
+Maxima
+\family default
+, ce qui donnera la commande de définition suivante pour le raccourci
+\begin_inset space ~
+\end_inset
+
+:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+command-alternatives break-paragraph;math-extern maxima
\end_layout
\begin_layout Section
-Astuces
-\begin_inset Index
+Points divers
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
-Astuces
+Points divers
\end_layout
\end_inset
\begin_layout Subsection
Nombres négatifs
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
-<column alignment="right" valignment="top" width="0">
-<column alignment="left" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="right" valignment="top">
+<column alignment="left" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Subsection
La virgule comme séparateur décimal
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
was
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
braket
\series default
-\begin_inset Foot
-status collapsed
-
-\begin_layout Plain Layout
-
-\series bold
-braket
-\series default
- fait partie de toutes les installations LaTeX standard.
-\end_layout
-
-\end_inset
-
-
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\series default
assure que toutes les barres verticales ont la même taille que les crochets
englobants:
-\begin_inset Formula \[
-\Braket{\phi|J=\frac{3}{2}\,,\, M_{J}}\]
+\begin_inset Formula
+\[
+\Braket{\phi|J=\frac{3}{2}\,,\, M_{J}}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
genfrac
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset ERT
-status collapsed
+\begin_inset Phantom HPhantom
+status open
\begin_layout Plain Layout
-
-\backslash
-phantom{
-\end_layout
-
-\end_inset
-
+\series bold
\backslash
genfrac
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Standard
Un test:
-\begin_inset Formula \begin{align*}
+\begin_inset Formula
+\begin{align*}
\text{Commande} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
-\text{Résultat} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}\end{align*}
+\text{Résultat} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}
+\end{align*}
\end_inset
\begin_layout Subsection
Formules barrées
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_layout
\begin_layout Standard
-Pour barrer une formule ou une portion de formule, on doit charger le paquetage
- LaTeX
-\series bold
-cancel
-\series default
-
-\begin_inset Foot
+\begin_inset ERT
status collapsed
\begin_layout Plain Layout
-\series bold
-cancel
-\series default
- fait partie de toutes les distributions LaTeX standard.
+
+\backslash
+ifcancel
\end_layout
\end_inset
-\begin_inset Index
-status collapsed
+\begin_inset Note Note
+status open
\begin_layout Plain Layout
-Paquetages ! cancel
+Ce qui suit ne sera affiché que si le paquetage LaTeX
+\series bold
+cancel
+\series default
+ est installé:
\end_layout
\end_inset
- dans le préambule LaTeX avec la ligne
-\end_layout
-
-\begin_layout Standard
-
-\series bold
-\backslash
-usepackage[samesize]{cancel}
\end_layout
\begin_layout Standard
-Il y a quatre façon de barrer une formule:
+Il y a quatre façon de barrer une formule u une portion de formule:
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
-<column alignment="center" valignment="top" width="0">
-<column alignment="center" valignment="top" width="0">
+<features rotate="0" tabularvalignment="middle">
+<column alignment="center" valignment="top">
+<column alignment="center" valignment="top">
<row>
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
\begin_inset Text
\begin_layout Plain Layout
\backslash
-cancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+cancel
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-spce
-\end_layout
-
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-bcancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
+bcancel
+\begin_inset space \textvisiblespace{}
+\end_inset
\backslash
-spce
-\end_layout
-
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-xcancel{
-\backslash
-int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
+xcancel
+\begin_inset space \textvisiblespace{}
+\end_inset
+int
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
\begin_layout Plain Layout
\backslash
-cancelto{1
-\begin_inset Formula $\to$
+cancelto
+\begin_inset space \textvisiblespace{}
\end_inset
-\backslash
-{
\backslash
int
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
A=B
+\begin_inset Formula $\to$
+\end_inset
+
+1
\end_layout
\end_inset
\series default
est particulièrement utile pour visionner des simplifications de fractions
dans les formules:
-\begin_inset Formula \[
-\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}\]
+\begin_inset Formula
+\[
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Pour modifier la taille de la valeur d'
+\begin_inset Quotes fld
+\end_inset
+
+indice
+\begin_inset Quotes frd
+\end_inset
+
+ de
+\series bold
+
+\backslash
+cancelto
+\series default
+ , il est possible de
+\lang english
+add the LaTeX-preamble line
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+PassOptionsToPackage{option}{cancel}
+\end_layout
+
+\begin_layout Standard
+
+\lang english
+where
+\series bold
+option
+\series default
+ is either
+\series bold
+\lang french
+samesize
+\series default
+ qui laissera la valeur barrée avec la même taille, ou
+\series bold
+Smaller
+\series default
+ qui la met dans une taille un peu plus petite que la taille normale.
+\end_layout
+
+\begin_layout Standard
+Pour mettre la barre en couleur, il faut ajouter cette commande en mode
+ TeX:
+\end_layout
+
+\begin_layout Standard
+
+\series bold
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
+\end_layout
+
+\begin_layout Standard
+où
+\series bold
+\lang english
+red
+\series default
+\lang french
+ peut être remplacé par ma couleur de votre choix.
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{red}}
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset Formula
+\[
+\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
+\]
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+renewcommand{
+\backslash
+CancelColor}{
+\backslash
+color{black}}
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+
+\lang english
+reset the color
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Pour d'autres personnalisations, voir le manuel du paquetage
+\series bold
+cancel
+\series default
+,
+\begin_inset CommandInset citation
+LatexCommand cite
+key "cancel"
+
+\end_inset
+
+.
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Paquetages ! cancel
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+else
+\end_layout
+
+\end_inset
+
+
+\begin_inset Note Note
+status open
+
+\begin_layout Plain Layout
+Ce qui suit sera affiché si la paquetage LaTeX
+\series bold
+cancel
+\series default
+ n'est pas installé:
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Vous avez besoin du paquetage LaTeX
+\series bold
+cancel
+\series default
+ pour voir le reste de cette sous section dans la sortie finale.
+\end_layout
+
+\begin_layout Standard
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+fi
+\end_layout
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
hyperref
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Les deux problèmes peuvent être résolus en insérant à la fin de l'entête
de section un titre court avec le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Titre
\begin_inset space ~
\end_inset
\backslash
texorpdfstring{partie à problème}{alternative}
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset OptArg
+\begin_inset Argument 1
status collapsed
\begin_layout Plain Layout
Pour avoir la même mise en forme que les autres entêtes, toute l'entête
a été placée dans un environnement
\series bold
-boldmath
+boldmath
\series default
-
+.
\begin_inset Foot
status collapsed
\end_inset
-.
+
\end_layout
\begin_layout Subsection
Formules dans du texte multi-colonnes
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Formula \begin{equation}
-S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi\end{equation}
+\begin_inset Formula
+\begin{equation}
+S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
+\end{equation}
\end_inset
\begin_layout Subsection
Formules avec description des variables
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Formula $n$
\end_inset
- variables utilisées
+ variables utilisées.
\begin_inset Foot
status collapsed
\end_inset
-.
Pour mettre la description en plus petits caractères, on peut insérer par
exemple la commande
\series bold
\backslash
footnotesize
\series default
- avant la matrice
+ avant la matrice.
\begin_inset Foot
status collapsed
\end_inset
-.
+
\end_layout
\begin_layout Standard
consiste en cinq colonnes dont les deux premières contiennent l'équation,
la troisième la matrice et la dernière une accolade TeX vide.
-\begin_inset Formula \begin{flalign}
+\begin_inset Formula
+\begin{flalign}
\hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
\rho & \textrm{density}\\
V & \textrm{volume}\\
-g & \textrm{gravitational acceleration}\end{array} & & {}\label{eq:within}\end{flalign}
+g & \textrm{gravitational acceleration}
+\end{array} & & {}\label{eq:within}
+\end{flalign}
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
was
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Standard
Avec ces commandes, on peut typographier des réactions entre particules
élémentaires:
-\begin_inset Formula \[
-\uppi^{+}\to\upmu^{+}+\upnu_{\upmu}\]
+\begin_inset Formula
+\[
+\uppi^{+}\to\upmu^{+}+\upnu_{\upmu}
+\]
\end_inset
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_layout Section
\start_of_appendix
Conseils Typographiques
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
+\end_layout
+
+\begin_layout Standard
+Ce paragraphe est un résumé des usages typographiques les plus importants,
+ documentés dans les normes ISO.
+\begin_inset Foot
+status collapsed
+
+\begin_layout Plain Layout
+Cette collection a été extraite partiellement du dictionnaire allmend semi-offic
+iel dénommé
+\begin_inset Quotes fld
+\end_inset
+
+Duden
+\begin_inset Quotes frd
+\end_inset
+
+
+\begin_inset CommandInset citation
+LatexCommand cite
+key "Duden"
+
+\end_inset
+
+ qui indique quelques règles ISO.
+ D'autre règles sont décrites dans
+\begin_inset CommandInset citation
+LatexCommand cite
+key "Checklist"
+
+\end_inset
+
+.
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Itemize
\end_inset
-: 30
+, même dans un texte en italique: 30
\begin_inset space \thinspace{}
\end_inset
\end_inset
.
-
-\lang english
-It is available either via the command
+ Il est accessible soit par la commande
\series bold
\backslash
times
\series default
- or via
-\lang french
- le menu
+ ou par le menu
\family sans
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Caractère
\begin_inset space ~
\end_inset
spécial\SpecialChar \menuseparator
-Symbole,
+Symboles,
\family default
mais il peut aussi être accessible directement sur certains claviers.
\begin_inset Foot
\end_layout
\begin_layout Itemize
-L'opérateur 'd' de différentiation/intégration, la constante d'Euler 'e',
- et la base des nombre imaginaires 'i' devraient être écrits en caractères
- droits pour éviter de les mélanger avec les autres variables.
-\end_layout
-
-\begin_layout Itemize
-
-\lang english
-The character that denotes a
-\noun on
-Fourier
-\noun default
- transformation is inserted either by the command
-\lang french
-
-\series bold
-
-\backslash
-mathscr
-\begin_inset ERT
-status collapsed
+L'opérateur
+\begin_inset Quotes fld
+\end_inset
-\begin_layout Plain Layout
+d
+\begin_inset Quotes frd
+\end_inset
+ de différentiation/intégration, la constante d'Euler
+\begin_inset Quotes fld
+\end_inset
-\backslash
-spce
-\end_layout
+e
+\begin_inset Quotes frd
+\end_inset
+, et la base des nombre imaginaires
+\begin_inset Quotes fld
\end_inset
+i
+\begin_inset Quotes frd
+\end_inset
-\backslash
-{F
-\series default
+ devraient être écrits en caractères droits pour éviter de les mélanger
+ avec les autres variables.
+\end_layout
-\begin_inset Index
-status collapsed
+\begin_layout Itemize
+Le caractère qui représente une transformation de Fourier peut être obtenu
+ soit avec la commande
+\series bold
-\begin_layout Plain Layout
-Commandes ! M !
\backslash
mathscr
-\end_layout
-
+\begin_inset space \textvisiblespace{}
\end_inset
-
-\lang english
-or via
-\lang french
- le menu
-\lang english
-
+F
+\series default
+, soit avec le menu
\family sans
-\lang french
-Insérer\SpecialChar \menuseparator
+Insertion\SpecialChar \menuseparator
Caractère
\begin_inset space ~
\end_inset
spécial\SpecialChar \menuseparator
-Symbole\SpecialChar \menuseparator
-
-\lang english
-Letterlike
-\begin_inset space ~
-\end_inset
-
-Symbols
+Symboles\SpecialChar \menuseparator
+Symboles de type lettre
\family default
-:
-\begin_inset Formula $\mathscr{F}$
-\end_inset
-
-
-\begin_inset Newline newline
-\end_inset
-
-To be able to use the command
-\series bold
-
-\backslash
-mathscr
-\series default
-, the LaTeX package
-\lang french
-
-\series bold
-mathrsfs
-\series default
-
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Paquetages ! mathrsfs
-\end_layout
-
-\end_inset
-
-
-\lang english
-needs to be loaded with the LaTeX-preamble line
-\lang french
-
-\series bold
-
-\backslash
-usepackage{mathrsfs}
-\series default
.
\end_layout
\begin_layout Section
Synonymes
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\series bold
\backslash
-raisebox est seulement utilisée pour faire de la place
+raisebox
+\series default
+ est seulement utilisée pour faire de la place
\end_layout
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features rotate="0" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
-\lang english
-
\begin_inset space \hfill{}
\end_inset
\end_layout
\begin_layout Standard
-
-\lang english
\begin_inset Newpage newpage
\end_inset
\begin_inset CommandInset href
LatexCommand href
name "Description"
-target "ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf"
+target "http://mirrors.ctan.org/macros/latex/required/amslatex/math/amsldoc.pdf"
\end_inset
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
-key "Symbole"
+key "Symbols"
\end_inset
de tous les symboles disponibles avec les paquetages LaTeX
\end_layout
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "cancel"
+
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+name "Documentation"
+target "http://mirrors.ctan.org/macros/latex/contrib/cancel/cancel.pdf"
+
+\end_inset
+
+ paquetage LaTeX
+\series bold
+cancel
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+Paquetages ! cancel
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
\begin_layout Bibliography
\begin_inset CommandInset bibitem
LatexCommand bibitem
hyperref
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
mhchem
\series default
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
\end_inset
-\begin_inset Index
+\begin_inset Index idx
status collapsed
\begin_layout Plain Layout
Auflage, Duden 2001
\end_layout
-\begin_layout Subsubsection*
+\begin_layout Bibliography
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+key "Checklist"
+
+\end_inset
+
+
+\begin_inset CommandInset href
+LatexCommand href
+name "Check list"
+target "http://physics.nist.gov/Document/checklist.pdf"
+
+\end_inset
+
+ pour relire les manuscrits
+\end_layout
+
+\begin_layout Standard
\begin_inset CommandInset index_print
LatexCommand printindex
+type "idx"
\end_inset
projects / lyx.git / blobdiff