Japanese Tutorial.lyx: update by Koji

[lyx.git] / lib / doc / Math.lyx

diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx
index 6a93e376b2dc2e16be86d989fc962ae9e69e3822..674de2ea31d4aff24f0374771bb69f8c0d3471b7 100644 (file)
--- a/lib/doc/Math.lyx
+++ b/lib/doc/Math.lyx
@@ -1,5 +1,5 @@
-#LyX 1.6.1svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
+\lyxformat 348
 \begin_document
 \begin_header
 \textclass scrartcl
@@ -13,7 +13,6 @@
 % the documentation team
 % email: lyx-docs@lists.lyx.org
 
-
 % if pdflatex is used
 \usepackage{ifpdf}
 \ifpdf
@@ -247,7 +246,7 @@ author: Uwe Stöhr
 
 
 \family sans
-Version 1.6.0
+Version 2.0.x
 \end_layout
 
 \begin_layout Standard
@@ -1015,7 +1014,7 @@ Available units
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -1523,7 +1522,7 @@ _
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -1807,7 +1806,7 @@ dfrac
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -2355,7 +2354,7 @@ root
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -2751,7 +2750,7 @@ brack
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3025,7 +3024,7 @@ Case differentiations
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3243,7 +3242,7 @@ not
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3467,7 +3466,7 @@ reference "sub:Chemical-Symbols-and"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3605,7 +3604,7 @@ phantom
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -4023,7 +4022,7 @@ Formula ! underlined
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -4443,7 +4442,7 @@ dots
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -5201,7 +5200,7 @@ reference "sub:Automatic-Bracket-Size"
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -5395,7 +5394,7 @@ matrix
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -5783,7 +5782,7 @@ Brackets ! vertical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6007,7 +6006,7 @@ lfloor
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6383,7 +6382,7 @@ These commands are used to emphasize levels of brackets:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6638,7 +6637,7 @@ In the following table is a comparison of the variants:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="middle" width="0">
 <column alignment="center" valignment="middle" width="0">
 <row>
@@ -7239,7 +7238,7 @@ Brackets ! horizontal
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -7901,7 +7900,7 @@ Arrows ! horizontal
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8110,7 +8109,7 @@ hookleftarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8326,7 +8325,7 @@ hookrightarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8490,7 +8489,7 @@ rightleftharpoons
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8719,7 +8718,7 @@ vspace{4mm}
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8888,7 +8887,7 @@ Arrows ! vertical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9072,7 +9071,7 @@ downarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9361,7 +9360,7 @@ Accents ! for one character
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9674,7 +9673,7 @@ A
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9990,7 +9989,7 @@ real
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -10399,7 +10398,7 @@ Accents ! for several characters
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10601,7 +10600,7 @@ A=B
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10936,12 +10935,11 @@ arg   "space-insert protected"
 \end_inset
 
 ).
- A blue 
+ A 
 \begin_inset Quotes eld
 \end_inset
 
 
-\series bold
 \color blue
 
 \begin_inset ERT
@@ -10957,7 +10955,6 @@ spce
 \end_inset
 
 
-\series default
 \color inherit
 
 \begin_inset Quotes erd
@@ -10993,7 +10990,7 @@ Space
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="7">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="middle" width="6.8cm">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
@@ -11248,7 +11245,7 @@ The last size seem to produce no space.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="middle" width="6.8cm">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -11377,7 +11374,7 @@ useful for summation operators:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -11515,7 +11512,7 @@ Relations like for example equal signs, are always surrounded by space.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -11635,7 +11632,7 @@ An example to visualize the difference:
 \begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="left" valignment="top" width="0">
 <column alignment="left" valignment="top" width="0">
 <row>
@@ -11785,15 +11782,11 @@ Space ! horizontal ! variable
 \end_layout
 
 \begin_layout Standard
-Space with a defined length can be inserted in LyX with the command
-\begin_inset Newline newline
-\end_inset
-
-
+Space with a defined length can be inserted with the command 
 \series bold
 
 \backslash
-hspace{length}
+hspace
 \series default
 
 \begin_inset Index
@@ -11808,18 +11801,54 @@ hspace
 \end_inset
 
 .
- For the length all units listed in 
-\begin_inset CommandInset ref
-LatexCommand ref
-reference "tab:Available-units"
+ Then a long 
+\begin_inset Quotes eld
+\end_inset
+
+
+\color blue
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
+\color inherit
 
+\begin_inset Quotes erd
 \end_inset
 
- are allowed, except of the unit 
+ appears.
+ The length can be specified by left-clicking on the 
 \begin_inset Quotes eld
 \end_inset
 
-mu
+
+\color blue
+
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
+\color inherit
+
 \begin_inset Quotes erd
 \end_inset
 
@@ -11858,7 +11887,7 @@ hfill
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -11866,7 +11895,9 @@ hfill
 \begin_inset Text
 
 \begin_layout Plain Layout
-Command
+Command (
+\backslash
+hspace length)
 \end_layout
 
 \end_inset
@@ -11888,13 +11919,30 @@ Result
 \begin_layout Plain Layout
 A=B
 \backslash
-hspace{3cm
+hspace
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
 \begin_inset Formula $\to$
 \end_inset
 
 A
 \backslash
-not=C
+not=C (3
+\begin_inset space \thinspace{}
+\end_inset
+
+cm)
 \end_layout
 
 \end_inset
@@ -11919,13 +11967,30 @@ not=C
 \begin_layout Plain Layout
 A
 \backslash
-hspace{-1mm
+hspace
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
+\backslash
+spce 
+\end_layout
+
+\end_inset
+
+
 \begin_inset Formula $\to$
 \end_inset
 
 A
 \backslash
-not=A
+not=A (-1
+\begin_inset space \thinspace{}
+\end_inset
+
+mm)
 \end_layout
 
 \end_inset
@@ -12061,7 +12126,7 @@ Horizontal
 
 Space
 \family default
-, what is not possible in formulas:
+:
 \end_layout
 
 \begin_layout Standard
@@ -12549,7 +12614,7 @@ status open
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -13120,7 +13185,7 @@ fbox
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -13540,7 +13605,7 @@ yellow
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -14804,7 +14869,7 @@ Options
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -14834,14 +14899,14 @@ Result
 \begin_layout Plain Layout
 
 \backslash
-sum
+int
 \begin_inset Index
 status collapsed
 
 \begin_layout Plain Layout
-Commands ! S ! 
+Commands ! I ! 
 \backslash
-sum
+int
 \end_layout
 
 \end_inset
@@ -14855,7 +14920,7 @@ sum
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\sum$
+\begin_inset Formula $\int$
 \end_inset
 
 
@@ -14871,19 +14936,7 @@ sum
 \begin_layout Plain Layout
 
 \backslash
-int
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! I ! 
-\backslash
-int
-\end_layout
-
-\end_inset
-
-
+oint
 \end_layout
 
 \end_inset
@@ -14892,7 +14945,7 @@ int
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\int$
+\begin_inset Formula $\oint$
 \end_inset
 
 
@@ -14908,7 +14961,7 @@ int
 \begin_layout Plain Layout
 
 \backslash
-intop
+ointctrclockwise
 \end_layout
 
 \end_inset
@@ -14917,7 +14970,7 @@ intop
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\intop$
+\begin_inset Formula $\ointctrclockwise$
 \end_inset
 
 
@@ -14933,7 +14986,7 @@ intop
 \begin_layout Plain Layout
 
 \backslash
-oint
+ointclockwise
 \end_layout
 
 \end_inset
@@ -14942,7 +14995,7 @@ oint
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\oint$
+\begin_inset Formula $\ointclockwise$
 \end_inset
 
 
@@ -14958,7 +15011,7 @@ oint
 \begin_layout Plain Layout
 
 \backslash
-ointop
+sqint
 \end_layout
 
 \end_inset
@@ -14967,7 +15020,7 @@ ointop
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\ointop$
+\begin_inset Formula $\sqint$
 \end_inset
 
 
@@ -14983,7 +15036,7 @@ ointop
 \begin_layout Plain Layout
 
 \backslash
-ointctrclockwise
+fint
 \end_layout
 
 \end_inset
@@ -14992,7 +15045,8 @@ ointctrclockwise
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\ointctrclockwise$
+ 
+\begin_inset Formula $\fint$
 \end_inset
 
 
@@ -15008,7 +15062,7 @@ ointctrclockwise
 \begin_layout Plain Layout
 
 \backslash
-ointclockwise
+landupint
 \end_layout
 
 \end_inset
@@ -15017,7 +15071,8 @@ ointclockwise
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\ointclockwise$
+ 
+\begin_inset Formula $\landupint$
 \end_inset
 
 
@@ -15033,7 +15088,7 @@ ointclockwise
 \begin_layout Plain Layout
 
 \backslash
-sqint
+landdownint
 \end_layout
 
 \end_inset
@@ -15042,7 +15097,8 @@ sqint
 \begin_inset Text
 
 \begin_layout Plain Layout
-\begin_inset Formula $\sqint$
+ 
+\begin_inset Formula $\landdownint$
 \end_inset
 
 
@@ -15111,8 +15167,8 @@ bigcup
 
 
 \begin_inset Tabular
-<lyxtabular version="3" rows="10" columns="2">
-<features>
+<lyxtabular version="3" rows="11" columns="2">
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15141,6 +15197,43 @@ Result
 
 \begin_layout Plain Layout
 
+\backslash
+sum
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S ! 
+\backslash
+sum
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\sum$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
 \backslash
 prod
 \begin_inset Index
@@ -15401,32 +15494,32 @@ The operators are called big because they are bigger than the sometimes
 \end_layout
 
 \begin_layout Standard
-The operators 
+For all integral operators there is a second version available, ending on
+ 
 \series bold
-
-\backslash
-intop
+op
 \series default
- and 
+: 
 \series bold
 
 \backslash
-ointop
+intop,
 \series default
- are different from 
+ 
 \series bold
 
 \backslash
-int
+ointop
 \series default
- and 
+ etc..
+ These operators are different from 
 \series bold
 
 \backslash
-oint
+int
 \series default
-, resp.
-\begin_inset space ~
+ etc.
+\begin_inset space \space{}
 \end_inset
 
 in the style the operator limits are displayed, see 
@@ -15534,7 +15627,7 @@ For multiple integrals there are the following commands:
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -15659,7 +15752,7 @@ sqiint
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -15797,7 +15890,7 @@ Limits are created by super- and subscripts:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15941,19 +16034,23 @@ Inline
 
 \end_inset
 
-For integrals, except of 
+For integrals, except those ending with 
+\series bold
+op
+\series default
+ like 
 \series bold
 
 \backslash
 intop
 \series default
- and 
+, 
 \series bold
 
 \backslash
 ointop
 \series default
-, the limits are by default set beside the operator.
+ etc., the limits are by default set beside the operator.
  But for multiple integrals the limits are often set below the operator.
  In the following example the limits type was therefore set to 
 \series bold
@@ -16352,7 +16449,7 @@ Binary operators are surrounded by space when there is a character before
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -16719,7 +16816,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17053,7 +17150,7 @@ vee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17772,7 +17869,7 @@ Latin letters in formulas can be set in one of the following font styles:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="3">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
@@ -18091,7 +18188,7 @@ AbC
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="3">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
@@ -18999,7 +19096,7 @@ Alt+M
 \series default
  
 \series bold
-m 
+M 
 \backslash
 tiny
 \begin_inset ERT
@@ -19098,7 +19195,7 @@ Greek letters ! small
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -19382,7 +19479,7 @@ vartheta
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -19689,7 +19786,7 @@ rho
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20012,7 +20109,7 @@ Greek letters ! big
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20196,7 +20293,7 @@ Pi
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20420,7 +20517,7 @@ boldsymbol
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -20635,7 +20732,7 @@ Symbols ! mathematical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20894,7 +20991,7 @@ jmath
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21193,7 +21290,7 @@ Bbbk
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21478,7 +21575,7 @@ Symbols ! miscellaneous
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21729,7 +21826,7 @@ $
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -21984,7 +22081,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -22428,7 +22525,7 @@ An overview about the different Euro symbols:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="3">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -22702,7 +22799,7 @@ All relations can also be inserted via the toolbar button
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23134,7 +23231,7 @@ nmid
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23566,7 +23663,7 @@ widehat=
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -24059,7 +24156,7 @@ stackrel
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -24240,7 +24337,7 @@ italic
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="4">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -24351,7 +24448,7 @@ The following functions are predefined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="4">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -24906,7 +25003,7 @@ In LyX self-defined functions are displayed red, predefined ones black.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -24962,7 +25059,7 @@ sgn(x)+B
 A
 \backslash
 ,
-\begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt-m}\,\textrm{m}}$
+\begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt+M}\,\textrm{M}}$
 \end_inset
 
 (x)+B
@@ -25047,7 +25144,7 @@ limsup
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -25209,7 +25306,7 @@ The limit is created by inserting a subscript.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -25394,7 +25491,7 @@ The following commands can only be used in mathematical text or in TeX-mode:
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="block" valignment="top" width="0">
 <column alignment="block" valignment="top" width="0">
 <row>
@@ -25630,7 +25727,7 @@ i
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="block" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -25962,7 +26059,7 @@ With the following commands all letters can be accented.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="block" valignment="top" width="0">
 <column alignment="block" valignment="top" width="0">
 <row>
@@ -26290,7 +26387,7 @@ t ee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="block" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -26800,7 +26897,7 @@ textcircled
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -27079,7 +27176,7 @@ The following characters can only be inserted to formulas by using commands:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -27971,43 +28068,13 @@ Long formulas can be typeset using these methods:
 \begin_layout Itemize
 When one side of the equation is much shorther than the line width, this
  one is chosen for the left side and the right side is typeset over two
- lines:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
-\end_inset
-
- 
+ lines: 
 \begin_inset Formula \begin{eqnarray}
 H & = & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\nonumber \\
  &  & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:shortlong}\end{eqnarray}
 
 \end_inset
 
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-smallskip
-\end_layout
-
-\end_inset
-
-
-\begin_inset Newline newline
-\end_inset
-
 The minus sign at the beginning of the second line does normally not appear
  as operator because it is the first character of the line.
  Thus it would not be surrounded by space and could not be distinguished
@@ -28079,19 +28146,6 @@ lefteqn
  is used.
  It is inserted to the first column of the first line and effects that all
  further insertions overwrite the following columns:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
-\end_inset
-
-
 \begin_inset Formula \begin{eqnarray}
 \lefteqn{4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}}\nonumber \\
  &  & -\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber \\
@@ -28099,23 +28153,6 @@ medskip
 
 \end_inset
 
-
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-smallskip
-\end_layout
-
-\end_inset
-
-
-\begin_inset Newline newline
-\end_inset
-
 After the insertion of 
 \series bold
 
@@ -28125,35 +28162,13 @@ lefteqn
 , the cursor is in a purple box that is a bit shifted to the left from the
  blue one.
  In this the formula is inserted.
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
-\end_inset
-
-
 \begin_inset Newline newline
 \end_inset
 
 The content of the further lines is inserted to the second or another formula
  column.
  The greater the column number where it was inserted, the larger the indentation.
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
 
 
@@ -31216,25 +31231,16 @@ gr
 Longrightarrow
 \series default
 , the LaTeX-preamble line is:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
 
 
-\series bold
-
 \begin_inset Newline newline
 \end_inset
 
 
+\series bold
+
 \backslash
 newcommand{
 \backslash
@@ -31258,25 +31264,16 @@ underline
 \series default
 , the argument (that should be underlined) must be taken into account.
  For this the preamble line is:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
 
 
-\series bold
-
 \begin_inset Newline newline
 \end_inset
 
 
+\series bold
+
 \backslash
 newcommand{
 \backslash
@@ -31285,26 +31282,13 @@ us}[1]{
 underline{#1}}
 \series default
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
 
 
-\series bold
-
 \begin_inset Newline newline
 \end_inset
 
-
-\series default
 The character 
 \series bold
 #
@@ -31338,25 +31322,16 @@ define the command
 fb
 \series default
 :
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
 
 
-\series bold
-
 \begin_inset Newline newline
 \end_inset
 
 
+\series bold
+
 \backslash
 newcommand{
 \backslash
@@ -31365,26 +31340,13 @@ fb}[3]{
 framebox#1#2{$#3$}}
 \series default
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
 
 
-\series bold
-
 \begin_inset Newline newline
 \end_inset
 
-
-\series default
 The two Dollar signs creates the extra formula needed for 
 \series bold
 
@@ -31410,25 +31372,16 @@ fcolorbox
 \series default
  where the color for the box needn't to be specified, the argument for the
  color is defined optional:
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
 
 
-\series bold
-
 \begin_inset Newline newline
 \end_inset
 
 
+\series bold
+
 \backslash
 newcommand{
 \backslash
@@ -31437,16 +31390,7 @@ cb}[3][white]{
 fcolorbox{#2}{#1}{$#3$}}
 \series default
 
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-medskip
-\end_layout
-
+\begin_inset VSpace medskip
 \end_inset
 
 
@@ -31474,7 +31418,7 @@ A test of the new defined commands:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -32166,7 +32110,7 @@ xleftarrow[#2]{#1}}
 in LyX as normal text, highlighting it completely and using then the shortcut
  
 \family sans
-Ctrl-m
+Ctrl+M
 \family default
 , the command will be transformed to a math macro.
  Using this method you need to be careful that the 
@@ -32250,7 +32194,7 @@ The macro toolbar contains from left to right the following buttons:
 \begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true">
+<features islongtable="true" tabularvalignment="middle">
 <column alignment="left" valignment="top" width="0">
 <column alignment="left" valignment="top" width="85col%">
 <row interlinespace="2.5mm">
@@ -32283,7 +32227,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Append Argument
+Remove Argument
 \end_layout
 
 \end_inset
@@ -32319,7 +32263,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Remove Last Argument
+Append Last Argument
 \end_layout
 
 \end_inset
@@ -32497,7 +32441,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Insert Optional Argument
+Remove Optional Argument
 \end_layout
 
 \end_inset
@@ -32533,7 +32477,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Remove Optional Argument
+Insert Optional Argument
 \end_layout
 
 \end_inset
@@ -32569,7 +32513,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Append Argument Eating
+Remove Last Argument
 \begin_inset Newline newline
 \end_inset
 
@@ -32604,7 +32548,7 @@ status collapsed
 
 \end_inset
 
-From The Right
+Spitting Out To The Right
 \end_layout
 
 \end_inset
@@ -32640,7 +32584,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Append Optional Argument
+Append Argument
 \begin_inset Newline newline
 \end_inset
 
@@ -32711,7 +32655,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Remove Last Argument
+Append Optional Argument
 \begin_inset Newline newline
 \end_inset
 
@@ -32746,7 +32690,7 @@ status collapsed
 
 \end_inset
 
-Spitting Out To The Right
+Eating From The Right
 \end_layout
 
 \end_inset
@@ -33358,7 +33302,7 @@ An example to visualize the problem:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="right" valignment="top" width="0">
 <column alignment="left" valignment="top" width="0">
 <row>
@@ -33628,7 +33572,7 @@ The following commands are defined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -33936,7 +33880,7 @@ The style is a number in the range of 0
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -34213,7 +34157,7 @@ There are four ways to cancel formulas:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -35766,7 +35710,7 @@ Some characters and symbols can be created with several commands.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -36093,7 +36037,7 @@ vert
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>