-#LyX 2.3 created this file. For more info see http://www.lyx.org/
-\lyxformat 544
+#LyX 2.4 created this file. For more info see https://www.lyx.org/
+\lyxformat 598
\begin_document
\begin_header
\save_transient_properties true
\begin_modules
subequations
\end_modules
-\maintain_unincluded_children false
+\maintain_unincluded_children no
\language english
\language_package default
-\inputencoding auto
-\fontencoding global
+\inputencoding utf8
+\fontencoding auto
\font_roman "lmodern" "default"
\font_sans "lmss" "default"
\font_typewriter "lmtt" "default"
\font_default_family default
\use_non_tex_fonts false
\font_sc false
-\font_osf false
+\font_roman_osf false
+\font_sans_osf false
+\font_typewriter_osf false
\font_sf_scale 100 100
\font_tt_scale 100 100
\use_microtype false
\default_output_format pdf2
\output_sync 0
\bibtex_command default
-\index_command default
+\index_command makeindex
+\float_placement class
+\float_alignment class
\paperfontsize 12
\spacing single
\use_hyperref 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"
-\papersize a4paper
+\papersize a4
\use_geometry false
\use_package amsmath 2
\use_package amssymb 2
\justification true
\use_refstyle 0
\use_minted 0
+\use_lineno 0
\notefontcolor #0000ff
\index Index
\shortcut idx
\secnumdepth 4
\tocdepth 3
\paragraph_separation skip
-\defskip medskip
+\defskip halfline
\is_math_indent 0
\math_numbering_side default
\quotes_style english
\papercolumns 1
\papersides 2
\paperpagestyle plain
+\tablestyle default
\bullet 1 0 6 -1
\bullet 2 2 35 -1
\bullet 3 2 7 -1
-\tracking_changes false
+\tracking_changes true
\output_changes false
+\change_bars false
+\postpone_fragile_content false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
+\docbook_table_output 0
+\author -563046850 "Jean-Marc LASGOUTTES"
+\author 47243155 "Jean-Marc"
\end_header
\begin_body
\family sans
-Version 2.3.x
+Version 2.
+\change_inserted 47243155 1563226038
+4
+\change_deleted 47243155 1563226038
+3
+\change_unchanged
+.x
\end_layout
\begin_layout Standard
\align center
\begin_inset Float table
placement H
+alignment document
wide false
sideways false
status open
\end_inset
.
- For other brackets around binomial coeficients there are the commands
+ For other brackets around binomial coefficients there are the commands
+
\series bold
\backslash
\begin_inset VSpace bigskip
\end_inset
+
+\change_deleted 47243155 1563226130
The
+\change_deleted -563046850 1563190969
+
\family sans
Decoration
+\change_inserted -563046850 1563190971
+Appearance
+\change_unchanged
+
\family default
- adds parentheses in the selected style around the matrix.
- Alternatively, parentheses can can either be created with the commands
+\change_deleted -563046850 1563192602
+adds
+\change_inserted -563046850 1563192607
+can be used to add
+\change_unchanged
+ parentheses in the selected style around the matrix
+\change_inserted -563046850 1563192780
+ or to select the
+\family sans
+small
+\family default
+ style, suitable for an inline matrix like this one
+\begin_inset Formula $\bigl(\begin{smallmatrix}0 & \textrm{-}\mathrm{i}\\
+\mathrm{i} & 0
+\end{smallmatrix}\bigr)$
+\end_inset
+
+
+\change_unchanged
+.
+
+\change_inserted -563046850 1563192943
+ Here the parentheses have been added manually using commands
+\series bold
+
+\backslash
+bigl(
+\series default
+ and
+\series bold
+
+\backslash
+bigr).
+\end_layout
+
+\begin_layout Standard
+
+\change_deleted -563046850 1563192735
+
+\change_unchanged
+Alternatively, parentheses can can
+\change_deleted -563046850 1563192971
+either
+\change_unchanged
+be created with the commands
\series bold
\backslash
\end_layout
\begin_layout Standard
-To set matrices into a text line, the command
+
+\change_inserted 47243155 1563226178
+Small inline matrices can also be obtained using
+\change_deleted 47243155 1563226182
+To set matrices into a text line,
+\change_unchanged
+ the command
\series bold
\backslash
\end_inset
- is used.
+
+\change_deleted 47243155 1563226186
+ is used
+\change_unchanged
+.
When it is inserted a blue box with two dashed lines appears.
In this box the matrix is inserted.
\end_layout
\end{smallmatrix}\right)$
\end_inset
- in a text line.
+ in a text line
+\change_inserted 47243155 1563226243
+ with automatic delimiters around it
+\change_unchanged
+.
\end_layout
\begin_layout Section
always
\family default
-, you have access to square backets:
+, you have access to square brackets:
\end_layout
\begin_layout Standard
and so set below the integrals:
\begin_inset Formula
\begin{equation}
-\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}
+\iiint_{V}X\,\mathrm{d}V=U\label{eq:VolInt}
\end{equation}
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\textrm{Å}$
+\begin_inset Formula $\textrm{Å}$
\end_inset
\begin_layout Standard
The characters
-\begin_inset Formula $\textrm{\textrm{Å}}$
+\begin_inset Formula $\textrm{Å}$
\end_inset
and
-\begin_inset Formula $\textrm{\textrm{Ø}}$
+\begin_inset Formula $\textrm{Ø}$
\end_inset
can also be inserted via the math toolbar button
\series bold
\backslash
-oldstylenums{0123456789
+oldstylenums{0123456789}
\series default
produces:
\begin_inset Formula $\oldstylenums{0123456789}$
:
\begin_inset Formula
\begin{flalign}
-\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
+\hspace{30pt}\iiint_{V}X\,\mathrm{d}V & =U & {}
\end{flalign}
\end_inset
Formula
\family default
(shortcut
-\family sans
-Ctrl+Alt
-\begin_inset space ~
+\begin_inset Info
+type "shortcuts"
+arg "command-sequence math-display; math-number-toggle;"
\end_inset
-N
-\family default
).
Existing formulas can be numbered with the menu
\family sans