#LyX 2.4 created this file. For more info see https://www.lyx.org/
-\lyxformat 592
+\lyxformat 598
\begin_document
\begin_header
\save_transient_properties true
enumitem
logicalmkup
\end_modules
-\maintain_unincluded_children false
+\maintain_unincluded_children no
\language english
\language_package default
\inputencoding utf8
\secnumdepth 3
\tocdepth 2
\paragraph_separation skip
-\defskip medskip
+\defskip halfline
\is_math_indent 0
\math_numbering_side default
\quotes_style english
\html_math_output 0
\html_css_as_file 0
\html_be_strict true
+\docbook_table_output 0
\author -1402925745 "Günter Milde"
\author -712698321 "Jürgen Spitzmüller"
+\author -584632292 "Richard Kimberly Heck"
\author -563046850 "Jean-Marc LASGOUTTES"
+\author -131811572 "Yuriy Skalko"
\author 5863208 "ab"
+\author 5863344 "Enrico Forestieri"
+\author 1675569489 "Stephan Witt"
\end_header
\begin_body
\begin_layout Standard
The drop box
+\change_deleted -712698321 1597235163
+
\family sans
Headings
+\change_inserted -712698321 1597235164
+Page
+\change_unchanged
+
\begin_inset space ~
\end_inset
\SpecialChar LyX
labels each heading with a series of numbers, separated by periods.
The numbers describe where in the document you are.
- Unlike the other headings, parts are numbered with Latin letters.
+ Unlike the other headings, parts are numbered with
+\change_inserted -131811572 1596358186
+Roman numerals
+\change_deleted -131811572 1596358192
+Latin letters
+\change_unchanged
+.
\end_layout
\begin_layout Standard
You can also insert the following space types:
\end_layout
+\begin_layout Description
+
+\change_inserted -712698321 1593161965
+Medium
+\begin_inset space ~
+\end_inset
+
+space
+\change_unchanged
+A line with a
+\begin_inset Formula $\to$
+\end_inset
+
+
+\begin_inset space \medspace{}
+\end_inset
+
+
+\begin_inset Formula $\gets$
+\end_inset
+
+
+\change_deleted -712698321 1593161991
+negative thin
+\change_inserted -712698321 1593161992
+medium
+\change_unchanged
+ space between the arrows.
+\change_inserted -712698321 1593162006
+
+\end_layout
+
+\begin_layout Description
+
+\change_deleted -712698321 1593162010
+Medium
+\change_inserted -712698321 1593162011
+Thick
+\change_unchanged
+
+\begin_inset space ~
+\end_inset
+
+space A line with a
+\begin_inset Formula $\to$
+\end_inset
+
+
+\begin_inset space \thickspace{}
+\end_inset
+
+
+\begin_inset Formula $\gets$
+\end_inset
+
+
+\change_deleted -712698321 1593162017
+medium
+\change_inserted -712698321 1593162018
+thick
+\change_unchanged
+ space between the arrows.
+\end_layout
+
\begin_layout Description
Negative
\begin_inset space ~
\begin_layout Plain Layout
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="10" columns="2">
+<lyxtabular version="3" rows="12" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top">
<column alignment="center" valignment="top">
em
\end_layout
+\end_inset
+</cell>
+</row>
+<row change="inserted -712698321 1593161917">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\change_inserted -712698321 1593161917
+Medium
+\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
+
+\change_inserted -712698321 1593161917
+4
+\begin_inset space \thinspace{}
+\end_inset
+
+mu
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row change="inserted -712698321 1593161917">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\change_inserted -712698321 1593161917
+Thick
+\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
+
+\change_inserted -712698321 1593161917
+5
+\begin_inset space \thinspace{}
+\end_inset
+
+mu
+\end_layout
+
\end_inset
</cell>
</row>
\end_layout
\begin_layout Standard
-Up brace:
+
+\change_deleted -712698321 1593242277
+Up
+\change_inserted -712698321 1593242278
+Down
+\change_unchanged
+ brace
+\change_inserted -712698321 1593242369
+ (= opened downwards)
+\change_unchanged
+:
\begin_inset space \downbracefill{}
\end_inset
\end_layout
\begin_layout Standard
-Down brace:
+
+\change_deleted -712698321 1593242281
+Down
+\change_inserted -712698321 1593242282
+Up
+\change_unchanged
+ brace
+\change_inserted -712698321 1593242378
+ (= opened upwards)
+\change_unchanged
+:
\begin_inset space \upbracefill{}
\end_inset
MedSkip
\family default
.
+\change_inserted -712698321 1593360527
+
+\end_layout
+
+\begin_layout Standard
+
+\change_inserted -712698321 1593360570
+
+\family sans
+Half line height
+\family default
+ and
+\family sans
+Line height
+\family default
+ equal to the height, or half the height, of a line in the current font
+ size including line spacing.
+\change_unchanged
+
\end_layout
\begin_layout Standard
\change_inserted -712698321 1525607513
no
+\change_unchanged
+
\end_layout
\end_inset
\family sans
Insert\SpecialChar menuseparator
Formatting\SpecialChar menuseparator
-Optional line break
+Optional
+\change_deleted 1675569489 1580913043
+
+\change_inserted 1675569489 1580913043
+
+\begin_inset space ~
+\end_inset
+
+
+\change_unchanged
+line
+\change_deleted 1675569489 1580913068
+
+\change_inserted 1675569489 1580913068
+
+\begin_inset space ~
+\end_inset
+
+
+\change_unchanged
+break
\family default
:
\end_layout
\begin_layout Plain Layout
\align center
\begin_inset Tabular
-<lyxtabular version="3" rows="9" columns="2">
+<lyxtabular version="3" rows="11" columns="2">
<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
mathbb
\end_layout
+\end_inset
+</cell>
+</row>
+<row change="inserted 5863344 1592055455">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\change_inserted 5863344 1592055455
+\begin_inset Formula $\mathds{DOUBLESTROKE}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\change_inserted 5863344 1592055455
+
+\series bold
+
+\backslash
+mathds
+\end_layout
+
\end_inset
</cell>
</row>
mathcal
\end_layout
+\end_inset
+</cell>
+</row>
+<row change="inserted -131811572 1591595416">
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\change_inserted -131811572 1591595416
+
+\shape up
+\size normal
+\emph on
+\bar no
+\noun off
+\color none
+\begin_inset Formula $\mathscr{SCRIPT}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\change_inserted -131811572 1591595416
+
+\series bold
+
+\backslash
+mathscr
+\end_layout
+
\end_inset
</cell>
</row>
You can only print capital letters in the typefaces
\family sans
Blackboard
+\change_inserted 5863344 1592055666
+, Double stroke
+\change_deleted -131811572 1591595671
+
\family default
- and
+
+\change_inserted -131811572 1591595667
+,
+\family sans
+Script
+\family default
+
+\change_unchanged
+and
\family sans
Calligraphic
\family default
Additional options
\family default
in the PDF Properties dialog.
+\change_inserted -584632292 1588303457
+
+\end_layout
+
+\begin_layout Section
+
+\change_inserted -584632292 1588303474
+Counters
+\begin_inset Index idx
+status open
+
+\begin_layout Plain Layout
+Counters
+\end_layout
+
+\end_inset
+
+
+\begin_inset CommandInset label
+LatexCommand label
+name "sec:Counters"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\change_inserted -584632292 1588374084
+One powerful feature of \SpecialChar LaTeX
+ is its ability to manage counters.
+ Mostly, this is handled automatically, but there are times one wants to
+ modify counters directly.
+ This can be done in LyX using the counter inset, which is accessible from
+ the Insert menu.
+ This allows one to set a counter's value; to reset it (to zero); to add
+ to the value (or subtract from it, since the value added can be negative);
+ to save it; to restore the saved value; and to print the value.
+ These effects can also be limited to LyX itself.
+ And they will appear in HTML and DocBook output, as well as in LaTeX.
+
+\end_layout
+
+\begin_layout Standard
+
+\change_inserted -584632292 1588529162
+There are five commands you can use:
+\end_layout
+
+\begin_layout Enumerate
+
+\change_inserted -584632292 1588529167
+Set counter: Allows you to assign a specific value to a counter
+\end_layout
+
+\begin_layout Enumerate
+
+\change_inserted -584632292 1588529177
+Increase counter: Allows you to add some specified amount to a counter (or
+ to subtract, if you choose a negative number)
+\end_layout
+
+\begin_layout Enumerate
+
+\change_inserted -584632292 1588529180
+Reset to zero: Sets the value of the counter to 0.
+\end_layout
+
+\begin_layout Enumerate
+
+\change_inserted -584632292 1588529184
+Save value of counter: Saves the value of the counter so that it can later
+ be restored.
+\end_layout
+
+\begin_layout Enumerate
+
+\change_inserted -584632292 1588529187
+Restore value of counter: Restores the previously saved value.
+\end_layout
+
+\begin_layout Standard
+
+\change_inserted -584632292 1588374230
+The dialog allows you to choose which counter you wish to modify from all
+ those that are available in the current document class.
+\change_unchanged
+
\end_layout
\begin_layout Section
\begin_inset space ~
\end_inset
-Space Inserts a character representing a single space (the one you get when
- pressing the
+Space
+\change_deleted -712698321 1590482504
+Inserts a character representing a single space (the one you get when pressing
+ the
\family sans
Space
\family default
\end_inset
+\change_unchanged
+Inserts a character to visualize that there is or should be a space.
+ This is e.
+\begin_inset space \thinspace{}
+\end_inset
+
+g.
+\begin_inset space \space{}
+\end_inset
+
+useful if you need to indicate a space in a command sequence.
+ An example from the \SpecialChar LyX
+
+\emph on
+Math
+\emph default
+ manual:
+\begin_inset Quotes eld
+\end_inset
+
+To insert a fraction use the command
+\series bold
+
+\backslash
+frac
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\begin_inset Formula $\downarrow$
+\end_inset
+
+B.
+\series default
+
+\begin_inset Quotes erd
+\end_inset
+
+ The visible space is hereby the character before the
+\series bold
+A
+\series default
+.
\end_layout
\begin_layout Description
\end_layout
\begin_layout Description
+
+\change_deleted -712698321 1590482457
Visible
\begin_inset space ~
\end_inset
A
\series default
.
+\change_unchanged
+
\end_layout
\begin_layout Description
\begin_inset space ~
\end_inset
-Break Inserts a forced line break that right justifies the remaining text
- as described in section
+Break Inserts a forced line break that
+\change_deleted -712698321 1590482910
+right
+\change_unchanged
+justifies the remaining text as described in section
\begin_inset space ~
\end_inset
; captions in multi-page tables are described in the section
\emph on
-Multi-page Captions
+Multi-page
+\change_inserted -712698321 1590482693
+Table
+\change_unchanged
+Captions
\emph default
of the
\emph on
\family sans
\begin_inset Info
type "icon"
-arg "layout Enumerate"
+arg "layout-toggle Enumerate"
\end_inset
\family sans
\begin_inset Info
type "icon"
-arg "layout Itemize"
+arg "layout-toggle Itemize"
\end_inset
\family sans
\begin_inset Info
type "icon"
-arg "layout List"
+arg "layout-toggle List"
\end_inset
\family sans
\begin_inset Info
type "icon"
-arg "layout Description"
+arg "layout-toggle Description"
\end_inset
\change_inserted -712698321 1557645185
\SpecialChar LaTeX
packages ! inputenc
+\change_unchanged
+
\end_layout
\end_inset