#LyX 2.4 created this file. For more info see https://www.lyx.org/
-\lyxformat 606
+\lyxformat 610
\begin_document
\begin_header
\save_transient_properties true
\html_css_as_file 0
\html_be_strict false
\docbook_table_output 0
+\docbook_mathml_prefix 1
\author -563046850 "Jean-Marc LASGOUTTES"
+\author 177693 "x"
\author 5863208 "ab"
\author 47243155 "Jean-Marc"
\author 232239728 "Owner"
\begin_layout Standard
To create an inline formula
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! inline
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+inline
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
To create a display style formula
\begin_inset Index idx
+range none
+pageformat default
status open
\begin_layout Plain Layout
-Formula ! display style
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+display style
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
displaystyle
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
in a formula.
\SpecialChar TeX
mode
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-T@\SpecialChar TeX
+\begin_inset IndexMacro sortkey
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+\SpecialChar TeX
-mode
\end_layout
To change the \SpecialChar LaTeX
-preamble
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-L@\SpecialChar LaTeX
+\begin_inset IndexMacro sortkey
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+\SpecialChar LaTeX
-preamble
\end_layout
\emph default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Text ! in formulas
+Text
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+in formulas
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! T !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
text
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
The text appears black in \SpecialChar LyX
and can therefore be distinguished from the
are referred to in this document as \SpecialChar TeX
braces
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-T@\SpecialChar TeX
+\begin_inset IndexMacro sortkey
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+\SpecialChar TeX
-braces
\end_layout
be behind the command to end it.
This space doesn't appear in the output.
When the space should appear in the output, the space must be followed
- by a protected space in normal text.
+ by a
+\change_deleted 177693 1654668848
+protected
+\change_inserted 177693 1654668851
+non-breaking
+\change_unchanged
+ space in normal text.
\end_layout
\begin_layout Standard
-A protected space is inserted with
+A
+\change_deleted 177693 1654668857
+protected
+\change_inserted 177693 1654668860
+non-breaking
+\change_unchanged
+ space is inserted with
\change_inserted 232239728 1610908934
\change_deleted 5863208 1612729787
\change_inserted 232239728 1610908897
Insert\SpecialChar menuseparator
Formatting\SpecialChar menuseparator
-Protected Space
+
+\change_deleted 177693 1654668863
+Protected
+\change_inserted 177693 1654668975
+Non-Breaking Normal
+\change_inserted 232239728 1610908897
+ Space
\family default
or
\change_inserted 5863208 1612729638
\begin_layout Subsection
Exponents
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
and Indices
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Superscripts|see
-\begin_inset ERT
-status collapsed
+Superscripts
+\begin_inset IndexMacro see
+status open
\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
Exponents
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Subscripts|see
-\begin_inset ERT
-status collapsed
+Subscripts
+\begin_inset IndexMacro see
+status open
\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
Indices
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! F !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+F
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
frac
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
or via the math toolbar button
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
dfrac
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
a fraction can be created that always has the size of a display style formula.
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! T !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
tfrac
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
the fraction appears always with the size of an inline formula.
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! C !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+C
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
cfrac
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
can be used.
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! N !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+N
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
nicefrac
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
:
\begin_inset Formula $\nicefrac{5}{31}$
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+U
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
unitfrac
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
:
\begin_inset Formula $\unitfrac{5}{31}$
\end_inset
\begin_layout Subsection
Roots
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
sqrt
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
or the math toolbar button
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
root
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
or with the math toolbar button
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! L !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
leftroot
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+U
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
uproot
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
are used with the following scheme:
\begin_layout Subsection
Binomial Coefficients
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
binom
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
or with the submenu of the math toolbar button
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
dbinom
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! T !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
tbinom
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
For other brackets around binomial coefficients there are the commands
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
brace
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
brack
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
\end_layout
\begin_layout Subsection
Case Differentiations
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Case differentiations
+Case differentiations
\end_layout
\end_inset
B>0
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! C !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+C
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
cases
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
Negations
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! N !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+N
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
not
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
every character can be displayed canceled.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Chemical characters ! Isotopes
+Chemical characters
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+Isotopes
\end_layout
\end_inset
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Isotopes|see
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-{
\end_layout
\end_inset
-Chemical characters
-\begin_inset ERT
-status collapsed
+
+\begin_inset Index idx
+range none
+pageformat default
+status open
\begin_layout Plain Layout
+Isotopes
+\begin_inset IndexMacro see
+status open
-}
+\begin_layout Plain Layout
+Chemical characters
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! P !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+P
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
phantom
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
or the math toolbar button
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! V !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+V
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
vphantom
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
(toolbar button
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! H !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+H
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
hphantom
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
(toolbar button
\begin_layout Subsection
Lines
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! underlined
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+underlined
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
A+B
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! O !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+O
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
overline
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
A+B
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+U
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
underline
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
rule
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
which has the following scheme:
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! L !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
ldots
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
), while for operations, dots are needed that are on the same height as
the operators (
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! C !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+C
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
cdots
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
).
When using the command
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
dots
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, \SpecialChar LaTeX
decides on the basis of the next character what type is used.
\end_layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! H !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+H
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
hdotsfor
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and have the following scheme
\series default
\begin_inset Index idx
+range none
+pageformat default
status open
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
dotfill
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
the rest of a line with dots.
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! H !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+H
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
hrulefill
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
:
\end_layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! L !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
left
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
right
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
(shortcut
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
arraycolsep
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
that is described in
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
arraystretch
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is used as follows:
\backslash
arraystretch}{stretch factor}
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
renewcommand
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
smallmatrix
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\change_deleted 47243155 1563226186
is used
\change_unchanged
\begin_layout Section
Brackets and Delimiters
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Vertical Brackets and Delimiters
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Brackets ! vertical
+Brackets
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+vertical
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! T !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
textbackslash
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
must be used for the backslash, because the command
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Bracket size ! manual
+Bracket size
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+manual
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
big
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
,
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
bigm
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, that adds a bit more space between the bracket and its content.
Other variants
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
-bigl -
+bigl –
\backslash
bigr
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, don't add additional space.
The
\emph on
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Bracket size ! automatic
+Bracket size
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+automatic
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! L !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
left
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
right
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
or via the math toolbar button
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! M !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+M
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
middle
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is available for all brackets and limits.
\begin_layout Subsection
Horizontal Brackets
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Brackets ! horizontal
+Brackets
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+horizontal
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
^3
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! O !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+O
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
overbrace
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
_5
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+U
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
underbrace
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! mathtools
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+mathtools
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
^3
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! O !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+O
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
overbracket
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
_5
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+U
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
under
\family roman
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! J !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+J
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
jot
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
must be changed to -6
\begin_layout Section
Arrows
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Horizontal Arrows
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Arrows ! horizontal
+Arrows
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+horizontal
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
Labeled arrows
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Arrows ! labeled
+Arrows
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+labeled
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! X !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+X
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
xleftarrow
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! X !
-\backslash
-xrightarrow
-\begin_inset ERT
-status collapsed
+Commands
+\begin_inset IndexMacro subentry
+status open
\begin_layout Plain Layout
+X
+\end_layout
+
+\end_inset
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
\backslash
-vspace{4mm}
+xrightarrow
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! mathtools
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+mathtools
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
Vertical and Diagonal Arrows
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Arrows ! diagonal
+Arrows
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+diagonal
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Arrows ! vertical
+Arrows
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+vertical
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Accents ! for one character
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-\begin_inset space \hfill{}
-\end_inset
-
-
-\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="2">
-<features booktabs="true" 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" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Command
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Result
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-dot
-\begin_inset space \textvisiblespace{}
-\end_inset
-
-A
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\dot{A}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-ddot
-\begin_inset space \textvisiblespace{}
-\end_inset
-
-A
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\ddot{A}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-dddot
-\begin_inset space \textvisiblespace{}
-\end_inset
-
-A
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\dddot{A}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-ddddot
-\begin_inset space \textvisiblespace{}
-\end_inset
-
-A
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\ddddot{A}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-vec
-\begin_inset space \textvisiblespace{}
-\end_inset
-
-A
-\begin_inset Index idx
-status collapsed
-
-\begin_layout Plain Layout
-Vectors
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\vec{A}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\backslash
-bar
-\begin_inset space \textvisiblespace{}
-\end_inset
-
-A
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
+Accents
+\begin_inset IndexMacro subentry
+status open
\begin_layout Plain Layout
-\begin_inset Formula $\bar{A}$
-\end_inset
-
-
+for one character
\end_layout
\end_inset
-</cell>
-</row>
-<row topspace="1.5mm">
-<cell alignment="center" valignment="top" bottomline="true" usebox="none">
-\begin_inset Text
-\begin_layout Plain Layout
-
-\backslash
-mathring
-\begin_inset space \textvisiblespace{}
-\end_inset
-A
\end_layout
\end_inset
-</cell>
-<cell alignment="center" valignment="top" bottomline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\mathring{A}$
-\end_inset
\end_layout
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
+\begin_layout Standard
\begin_inset space \hfill{}
\end_inset
\begin_inset Tabular
-<lyxtabular version="3" rows="7" columns="2">
+<lyxtabular version="3" rows="8" columns="2">
+<features booktabs="true" 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" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Command
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+Result
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+dot
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\dot{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+ddot
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ddot{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+dddot
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\dddot{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+ddddot
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\ddddot{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+vec
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\begin_inset Index idx
+range none
+pageformat default
+status collapsed
+
+\begin_layout Plain Layout
+Vectors
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\vec{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+bar
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\bar{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row topspace="1.5mm">
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
+\backslash
+mathring
+\begin_inset space \textvisiblespace{}
+\end_inset
+
+A
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\mathring{A}$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+</lyxtabular>
+
+\end_inset
+
+
+\begin_inset space \hfill{}
+\end_inset
+
+
+\begin_inset Tabular
+<lyxtabular version="3" rows="7" columns="2">
<features booktabs="true" tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
will transform them to the corresponding accent command.
For umlauts
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! undertilde
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+undertilde
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
Accents for Several Characters
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Accents ! for several characters
+Accents
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+for several characters
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! O !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+O
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
overset
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+U
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
underset
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
described in the previous subsection.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Space ! horizontal
+Space
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+horizontal
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Space ! horizontal ! predefined
+Space
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+horizontal
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+predefined
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Standard
Sometimes it is necessary to insert horizontal space into a formula.
- This is done by inserting a protected space (shortcut
+ This is done by inserting a
+\change_deleted 177693 1654668870
+protected
+\change_inserted 177693 1654668872
+non-breaking
+\change_unchanged
+ space (shortcut
\change_inserted 5863208 1612729962
\begin_inset Info
\family sans
Space
\family default
- keystrokes after inserting the protected space
+ keystrokes after inserting the
+\change_deleted 177693 1654668881
+protected
+\change_inserted 177693 1654668883
+non-breaking
+\change_unchanged
+ space
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Space ! horizontal ! variable
+Space
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+horizontal
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+variable
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! H !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+H
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
hspace
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
A long
\begin_inset Quotes eld
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! H !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+H
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
hfill
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is used.
\begin_layout Subsection
Space Besides Inline Formulas
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Space ! besides inline formulas
+Space
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+besides inline formulas
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! M !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+M
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
mathsurround
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
The value of a length is set with the command
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
setlength
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
which has the following scheme:
\begin_layout Section
Boxes and Frames
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Frames | see
-\begin_inset ERT
-status collapsed
+Frames
+\begin_inset IndexMacro see
+status open
\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
Boxes
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Boxes ! with frame
+Boxes
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+with frame
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! F !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+F
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
fbox
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
boxed
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
\end_layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! F !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+F
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
framebox
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
with which the frame width and the alignment can be specified.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Boxes ! without frame
+Boxes
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+without frame
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! M !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+M
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
mbox
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
,
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! M !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+M
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
makebox
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
raisebox
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
are available.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Boxes ! colored
+Boxes
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+colored
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! color
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+color
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! C !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+C
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
colorbox
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is used in the following scheme:
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! F !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+F
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
fcolorbox
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is used in the following scheme:
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
definecolor
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
\series default
:
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Text ! colored
+Text
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+colored
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! T !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
textcolor
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is used in the scheme
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Boxes ! as paragraph
+Boxes
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+as paragraph
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! P !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+P
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
parbox
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
which has the following scheme:
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! L !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
linewidth
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is the line width set for the document.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! calc
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+calc
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Section
Operators
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Operators ! big
+Operators
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+big
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\backslash
int
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! I !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+I
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
int
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\backslash
sum
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
sum
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\backslash
prod
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! P !
-\backslash
-prod
-\begin_inset ERT
-status collapsed
+Commands
+\begin_inset IndexMacro subentry
+status open
\begin_layout Plain Layout
+P
+\end_layout
+
+\end_inset
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
\backslash
-vspace{4mm}
+prod
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Operators ! Limits
+Operators
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+Limits
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
subarray
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
substack
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
are used.
\begin{equation}
\sum_{\begin{subarray}{c}
0<k<1000\\
-\\
-k\,\in\,\mathbb{N}
+\\k\,\in\,\mathbb{N}
\end{subarray}}^{n}k^{-2}\label{eq:substack}
\end{equation}
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
smashoperator
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
can be used.
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! mathtools
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+mathtools
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\[
\smashoperator{\sum_{\begin{subarray}{c}
0<k<1000\\
-\\
-k\,\in\,\mathbb{N}
+\\k\,\in\,\mathbb{N}
\end{subarray}}^{n}}k^{-2}
\]
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! mathtools
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+mathtools
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
adjustlimits
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
directly before the first operator.
\begin_layout Subsection
Decoration for Operators
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Operators ! Decoration
+Operators
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+Decoration
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! O !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+O
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
overset
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+U
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
underset
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
characters can be placed above or below an operator respectively.
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
sideset
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
characters can be set before and behind a big operator.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Operators ! binary
+Operators
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+binary
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Operators ! self-defined
+Operators
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+self-defined
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+\begin_inset IndexMacro sortkey
+status open
+
+\begin_layout Plain Layout
+
\backslash
-dbinom@
+dbinom
+\end_layout
+
+\end_inset
+
+
\backslash
DeclareMathOperator
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, custom operators can be defined in the \SpecialChar LaTeX
-preamble.
Its command scheme is:
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! M !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+M
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
mathop
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! M !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+M
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
mathbin
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, which have the following scheme:
\end_layout
\begin_layout Section
Fonts
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Font ! style
+Font
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+style
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! bold
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+bold
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
boldmath
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
in \SpecialChar TeX
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! U !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+U
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
unboldmath
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is inserted in \SpecialChar TeX
\begin_layout Subsection
Colored Formulas
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! colored
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+colored
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! T !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
textcolor
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
in the scheme
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Font ! size
+Font
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+size
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\backslash
displaystyle
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
displaystyle
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Section
Greek Letters
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_layout Subsection
Small Letters
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Greek letters ! small
+Greek letters
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+small
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
Big Letters
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Greek letters ! big
+Greek letters
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+big
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! was
-\begin_inset ERT
-status collapsed
+Packages
+\begin_inset IndexMacro subentry
+status open
\begin_layout Plain Layout
-
-
-\backslash
-vspace{4mm}
+was
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! fixmath
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+fixmath
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
Bold Letters
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Greek letters ! bold
+Greek letters
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+bold
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! B !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+B
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
boldsymbol
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
\end_layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Symbols ! mathematical
+Symbols
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+mathematical
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Symbols ! miscellaneous
+Symbols
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+miscellaneous
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
The Euro-Symbol €
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Symbols ! Euro-symbol
+Symbols
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+Euro-symbol
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
+\begin_layout Plain Layout
+\begin_inset IndexMacro sortkey
+status open
+
\begin_layout Plain Layout
\backslash
-@
+
+\end_layout
+
+\end_inset
+
+
\begin_inset ERT
status collapsed
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! eurosym
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+eurosym
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! E !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+E
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
euro
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
\end_layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! O !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+O
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
officialeuro
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, which is also only available in \SpecialChar TeX
mode.
\end_layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Comparisons|see
-\begin_inset ERT
-status collapsed
+Comparisons
+\begin_inset IndexMacro see
+status open
\begin_layout Plain Layout
-
-{
-\end_layout
-
-\end_inset
-
Relations
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-}
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
stackrel
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
:
\end_layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Functions ! predefined
+Functions
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+predefined
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
Self-defined Functions
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Functions ! self-defined
+Functions
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+self-defined
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! D !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+D
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+\begin_inset IndexMacro sortkey
+status collapsed
+
+\begin_layout Plain Layout
+
\backslash
-dbinom@
+dbinom
+\end_layout
+
+\end_inset
+
+
\backslash
DeclareMathOperator
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\begin_inset Newline newline
\end_inset
\begin_layout Subsection
Limits
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! L !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
lim
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
,
\series bold
\begin_layout Subsection
Modulo-Functions
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Functions ! modulo-
+Functions
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+modulo-
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Section
Special Characters
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Accents ! in text
+Accents
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+in text
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\backslash
~e
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! T !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
textcircled
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
any number or letter can be set into a circle, quasi accented with a circle,
\begin_layout Subsection
Old-style Figures
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! O !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+O
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
oldstylenums
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
The command can be used in formulas and in \SpecialChar TeX
mode.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! styles
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+styles
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! Line separation
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+Line separation
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! J !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+J
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
jot
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is changed.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! calc
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+calc
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! Column separation
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+Column separation
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
arraycolsep
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
according to the formula: column separation = 2
\begin_layout Subsubsection
Long Formulas
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! long
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+long
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! H !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+H
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
hspace
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Itemize
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! L !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
lefteqn
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is used.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Fractions ! multiline
+Fractions
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
splitfrac
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
To activate it, go to the document settings under
\family sans
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! mathtools
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+mathtools
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Brackets ! for multiline expressions
+Brackets
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+for multiline expressions
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
right
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and the second line with
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! L !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+L
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
left
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
After
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! V !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+V
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
vphantom
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is inserted, because the multiplication operator with its limits is the
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! align environment
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+align environment
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsubsection
Alignat Environment
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! alignat environment
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+alignat environment
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! flalign environment
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+flalign environment
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! eqnarray environment
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+eqnarray environment
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
Gather Environment
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! gather environment
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+gather environment
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! multline environment
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multline environment
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
shoveright
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
and
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
shoveleft
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
a centered line can be right or left aligned, respectively.
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! M !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+M
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
multlinegap
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
specifies the distance of the first line from the left page margin.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! formula parts
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+formula parts
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
aligned
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is inserted.
\series default
,
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
alignedat
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! G !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+G
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
gathered
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, or
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
split
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
are inserted, respectively.
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Text ! in formulas
+Text
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+in formulas
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! multiline ! text
+Formula
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+multiline
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+text
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! I !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+I
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
intertext
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is used in the following scheme:
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! mathtools
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+mathtools
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! S !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+S
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
shortintertext
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
instead of
\begin_layout Section
Formula Numbering
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula ! numbering|see
-\begin_inset ERT
-status collapsed
+Formula
+\begin_inset IndexMacro subentry
+status open
\begin_layout Plain Layout
-
-{
+numbering
\end_layout
\end_inset
-Formula numbering
-\begin_inset ERT
-status collapsed
-\begin_layout Plain Layout
+\begin_inset IndexMacro see
+status open
-}
+\begin_layout Plain Layout
+Formula numbering
\end_layout
\end_inset
\begin_layout Subsection
Cross-References
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Cross-references ! to formulas
+Cross-references
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+to formulas
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Subsection
Subnumbering
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula numbering ! subnumbering
+Formula numbering
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+subnumbering
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula numbering ! with letters
+Formula numbering
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+with letters
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula numbering ! with Roman numbers
+Formula numbering
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+with Roman numbers
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
renewcommand
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
redefines the predefined command
\backslash
roman{equation}
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
roman
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\series default
outputs the counter as small Roman number.
\end_layout
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! R !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+R
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+\begin_inset IndexMacro sortkey
+status open
+
+\begin_layout Plain Layout
+
\backslash
-roman@
+roman
+\end_layout
+
+\end_inset
+
+
\backslash
Roman
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
To
\begin_inset Quotes eld
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
alph
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, for big ones there is the command
\series bold
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+\begin_inset IndexMacro sortkey
+status open
+
+\begin_layout Plain Layout
+
\backslash
-alph@
+alph
+\end_layout
+
+\end_inset
+
+
\backslash
Alph
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
.
\end_layout
\backslash
arabic{equation}}
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
arabic
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula numbering ! user-defined
+Formula numbering
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+user-defined
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Standard
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Formula numbering ! self-defined delimiters
+Formula numbering
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+self-defined delimiters
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! T !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+T
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
tag
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
is used:
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
\begin_inset ERT
status collapsed
\end_inset
@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-"
\end_layout
\end_inset
- !
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
\begin_inset ERT
\end_inset
-@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-"
+@addtoreset
\end_layout
\end_inset
-addtoreset
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! carlisle
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+carlisle
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! remreset
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+remreset
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
\begin_inset ERT
status collapsed
\end_inset
@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-"
\end_layout
\end_inset
- !
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
\begin_inset ERT
\end_inset
-@
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-"
+@removefromreset
\end_layout
\end_inset
-removefromreset
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! N !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+N
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
numberwithin
\end_layout
\end_inset
+
+\end_layout
+
+\end_inset
+
, which is used with the following scheme:
\end_layout
\backslash
arabic{equation}}
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! A !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+A
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
arabic
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\series default
\begin_inset ERT
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Chemical characters ! Symbols
+Chemical characters
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+Symbols
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Symbols ! chemical
+Symbols
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+chemical
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! C !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+C
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
ce
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
which is available when the \SpecialChar LaTeX
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Packages ! mhchem
+Packages
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+mhchem
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\series default
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! C !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+C
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
cf
\end_layout
+\end_inset
+
+
+\end_layout
+
\end_inset
that is used for special cases.
\begin_layout Subsection
Amscd Diagrams
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Diagrams ! amscd
+Diagrams
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+amscd
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\backslash
CD
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Commands ! C !
+Commands
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+C
+\end_layout
+
+\end_inset
+
+
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+
\backslash
CD
\end_layout
\end_inset
+\end_layout
+
+\end_inset
+
+
\series default
is inserted to a formula.
A blue box appears with two dashed lines where additional commands can
\begin_layout Subsection
Xymatrix Diagrams
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Diagrams ! xymatrix
+Diagrams
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+xymatrix
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\noun default
Diagrams
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
-Diagrams ! Feynman
+Diagrams
+\begin_inset IndexMacro subentry
+status open
+
+\begin_layout Plain Layout
+Feynman
+\end_layout
+
+\end_inset
+
+
\end_layout
\end_inset
\begin_layout Section
User-defined Commands
\begin_inset Index idx
+range none
+pageformat default
status collapsed
\begin_layout Plain Layout
\begin_inset Index idx
+range none
+pageformat default
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projects / features.git / blobdiff