an example for the sweave module, prepared by Gregor Gorjanc

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

diff --git a/lib/doc/Math.lyx b/lib/doc/Math.lyx
index 674de2ea31d4aff24f0374771bb69f8c0d3471b7..808a07a0207d5e31ab5d71b82c1f3438fbf90fcb 100644 (file)
--- a/lib/doc/Math.lyx
+++ b/lib/doc/Math.lyx
@@ -1,5 +1,5 @@
-#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
-\lyxformat 348
+#LyX 1.6.3svn created this file. For more info see http://www.lyx.org/
+\lyxformat 345
 \begin_document
 \begin_header
 \textclass scrartcl
@@ -796,7 +796,7 @@ Mathematical text
  This mode is invoked with the the shortcut 
 \begin_inset Info
 type  "shortcut"
-arg   "math-mode"
+arg   "font-default"
 \end_inset
 
  or by the insertion of the command 
@@ -1014,7 +1014,7 @@ Available units
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -1522,7 +1522,7 @@ _
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -1806,7 +1806,7 @@ dfrac
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -2063,29 +2063,62 @@ The command for the example above is:
 \series bold
 
 \backslash
-cfrac{A
-\begin_inset Formula $\to$
-\end_inset
+cfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
 
 
 \backslash
-{B+
+spce 
+\end_layout
+
+\end_inset
+
+A
+\begin_inset Formula $\downarrow$
+\end_inset
+
+B+
 \backslash
-cfrac{C+
+cfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+
 \backslash
-cfrac{E
-\begin_inset Formula $\to$
+spce 
+\end_layout
+
 \end_inset
 
+C+
+\backslash
+cfrac
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
 
 \backslash
-{F
-\begin_inset Formula $\to\to$
+spce 
+\end_layout
+
 \end_inset
 
+E
+\begin_inset Formula $\downarrow$
+\end_inset
 
-\backslash
-{D
+F
+\begin_inset Formula $\downarrow$
+\end_inset
+
+D
 \end_layout
 
 \begin_layout Standard
@@ -2104,63 +2137,79 @@ cfrac
 \series default
  sets the fraction always in the size of a displayed formula, also when
  it is part of another fraction.
+\end_layout
+
+\begin_layout Standard
+It is possible to specify the alignment of the numerator.
+ The command 
+\series bold
+
+\backslash
+cfracleft
+\series default
+ is used to left align it, the command 
+\series bold
+
+\backslash
+cfracright
+\series default
+ to right-align it.
  
 \series bold
 
 \backslash
 cfrac
 \series default
- has the following command scheme:
+ centers the numerator.
+ These fractions demonstrate the different alignments:
 \end_layout
 
 \begin_layout Standard
+\begin_inset Formula $\cfrac[l]{A}{B+C}$
+\end_inset
+
+, 
+\begin_inset Formula $\cfrac{A}{B+C}$
+\end_inset
+
+, 
+\begin_inset Formula $\cfrac[r]{A}{B+C}$
+\end_inset
 
-\series bold
 
-\backslash
-cfrac[numerator position]{numerator}{denominator}
 \end_layout
 
 \begin_layout Standard
-The numerator position can be 
-\emph on
-l
-\emph default
- , 
-\emph on
-c
-\emph default
-, or 
-\emph on
-r
-\emph default
- .
- l or r aligns the numerator to the left or right, resp.
-\begin_inset space ~
-\end_inset
+\begin_inset Note Greyedout
+status open
 
-with the fraction stroke.
- When 
-\emph on
-c
-\emph default
- or no position is given, the numerator appears centered.
- These fractions demonstrate the different alignments:
-\begin_inset Newline newline
-\end_inset
+\begin_layout Plain Layout
 
+\series bold
+Note:
+\series default
+ 
+\series bold
 
+\backslash
+cfracleft
+\series default
+ and 
 \series bold
 
-\begin_inset Formula $\cfrac[l]{A}{B+C}$
-\end_inset
+\backslash
+cfracright
+\series default
+ are no real LaTeX commands but represent the command 
+\series bold
 
-, 
-\begin_inset Formula $\cfrac{A}{B+C}$
-\end_inset
+\backslash
+cfrac[alignment]{numerator}{denominator}
+\series default
+ .
+ Therefore you cannot use them in TeX code.
+\end_layout
 
-, 
-\begin_inset Formula $\cfrac[r]{A}{B+C}$
 \end_inset
 
 
@@ -2248,10 +2297,18 @@ unitfracthree
 \end_inset
 
 
-\begin_inset Newline newline
-\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset Note Greyedout
+status open
 
-Note that 
+\begin_layout Plain Layout
+
+\series bold
+Note:
+\series default
+ 
 \series bold
 
 \backslash
@@ -2267,7 +2324,13 @@ unitfracthree
 \backslash
 unitfrac[number]{numerator}{denominator}
 \series default
-, therefore you cannot use it in TeX code.
+ .
+ Therefore you cannot use it in TeX code.
+\end_layout
+
+\end_inset
+
+
 \end_layout
 
 \begin_layout Standard
@@ -2354,7 +2417,7 @@ root
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -2750,7 +2813,7 @@ brack
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3024,7 +3087,7 @@ Case differentiations
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3242,7 +3305,7 @@ not
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3466,7 +3529,7 @@ reference "sub:Chemical-Symbols-and"
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -3604,7 +3667,7 @@ phantom
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -4022,7 +4085,7 @@ Formula ! underlined
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -4442,7 +4505,7 @@ dots
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -5200,7 +5263,7 @@ reference "sub:Automatic-Bracket-Size"
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -5394,7 +5457,7 @@ matrix
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -5782,7 +5845,7 @@ Brackets ! vertical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6006,7 +6069,7 @@ lfloor
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6382,7 +6445,7 @@ These commands are used to emphasize levels of brackets:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -6637,7 +6700,7 @@ In the following table is a comparison of the variants:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="middle" width="0">
 <column alignment="center" valignment="middle" width="0">
 <row>
@@ -7238,7 +7301,7 @@ Brackets ! horizontal
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -7900,7 +7963,7 @@ Arrows ! horizontal
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8109,7 +8172,7 @@ hookleftarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8325,7 +8388,7 @@ hookrightarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8489,7 +8552,7 @@ rightleftharpoons
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8718,7 +8781,7 @@ vspace{4mm}
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -8887,7 +8950,7 @@ Arrows ! vertical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9071,7 +9134,7 @@ downarrow
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9360,7 +9423,7 @@ Accents ! for one character
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9673,7 +9736,7 @@ A
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -9989,7 +10052,7 @@ real
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -10398,7 +10461,7 @@ Accents ! for several characters
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10600,7 +10663,7 @@ A=B
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -10990,7 +11053,7 @@ Space
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="7">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="middle" width="6.8cm">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
@@ -11245,7 +11308,7 @@ The last size seem to produce no space.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="3">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="middle" width="6.8cm">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -11374,7 +11437,7 @@ useful for summation operators:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -11512,7 +11575,7 @@ Relations like for example equal signs, are always surrounded by space.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -11632,7 +11695,7 @@ An example to visualize the difference:
 \begin_layout Standard
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="left" valignment="top" width="0">
 <column alignment="left" valignment="top" width="0">
 <row>
@@ -11887,7 +11950,7 @@ hfill
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -12614,7 +12677,7 @@ status open
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -13185,7 +13248,7 @@ fbox
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -13605,7 +13668,7 @@ yellow
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -14869,7 +14932,7 @@ Options
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15168,7 +15231,7 @@ bigcup
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15503,9 +15566,9 @@ op
 \series bold
 
 \backslash
-intop,
+intop
 \series default
- 
+, 
 \series bold
 
 \backslash
@@ -15627,7 +15690,7 @@ For multiple integrals there are the following commands:
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -15752,7 +15815,7 @@ sqiint
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -15890,7 +15953,7 @@ Limits are created by super- and subscripts:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -15987,7 +16050,7 @@ A(x)
 \begin_layout Standard
 Limits of inline formulas are set right beside the operator.
  Limits in displayed formulas are set above or below the operator, except
- of integral limits.
+ for integral limits.
 \end_layout
 
 \begin_layout Standard
@@ -16449,7 +16512,7 @@ Binary operators are surrounded by space when there is a character before
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -16816,7 +16879,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17150,7 +17213,7 @@ vee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="13" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -17869,7 +17932,7 @@ 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 tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
@@ -18188,7 +18251,7 @@ AbC
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="3">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
@@ -19195,7 +19258,7 @@ Greek letters ! small
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -19479,7 +19542,7 @@ vartheta
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -19786,7 +19849,7 @@ rho
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="11" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20109,7 +20172,7 @@ Greek letters ! big
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="7" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20293,7 +20356,7 @@ Pi
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20517,7 +20580,7 @@ boldsymbol
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -20732,7 +20795,7 @@ Symbols ! mathematical
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -20991,7 +21054,7 @@ jmath
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21290,7 +21353,7 @@ Bbbk
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21575,7 +21638,7 @@ Symbols ! miscellaneous
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -21826,7 +21889,7 @@ $
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -22081,7 +22144,7 @@ bullet
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="10" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -22525,7 +22588,7 @@ An overview about the different Euro symbols:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="3">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -22799,7 +22862,7 @@ All relations can also be inserted via the toolbar button
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23231,7 +23294,7 @@ nmid
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -23663,7 +23726,7 @@ widehat=
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="17" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -24156,7 +24219,7 @@ stackrel
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -24337,7 +24400,7 @@ italic
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="4">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -24448,7 +24511,7 @@ The following functions are predefined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="9" columns="4">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
@@ -25003,7 +25066,7 @@ In LyX self-defined functions are displayed red, predefined ones black.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -25144,7 +25207,7 @@ limsup
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -25306,7 +25369,7 @@ The limit is created by inserting a subscript.
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="2" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -25332,13 +25395,7 @@ Result
 status collapsed
 
 \begin_layout Plain Layout
-
-\series bold
-
-\backslash
-hspace
-\series default
- and
+The space and
 \series bold
  
 \backslash
@@ -25491,7 +25548,7 @@ 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 tabularvalignment="middle">
+<features>
 <column alignment="block" valignment="top" width="0">
 <column alignment="block" valignment="top" width="0">
 <row>
@@ -25727,7 +25784,7 @@ i
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="block" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -25740,14 +25797,12 @@ command
 status collapsed
 
 \begin_layout Plain Layout
+The space of 0
+\begin_inset space \thinspace{}
+\end_inset
 
-\series bold
-
-\backslash
-hspace{0mm}
-\series default
- is used for separation, because otherwise the output will be ¡ and ¿ respective
-ly.
+mm is used for separation, because otherwise the output will be ¡ and ¿
+ respectively.
 \end_layout
 
 \end_inset
@@ -26059,7 +26114,7 @@ With the following commands all letters can be accented.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="block" valignment="top" width="0">
 <column alignment="block" valignment="top" width="0">
 <row>
@@ -26387,7 +26442,7 @@ t ee
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="8" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="block" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -26897,7 +26952,7 @@ textcircled
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -27176,7 +27231,7 @@ 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 tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -28068,7 +28123,7 @@ 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: 
+ 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}
@@ -28079,14 +28134,17 @@ 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
  from the fraction bar.
- To avoid this, space was inserted behind the minus sign with the command
- 
+ To avoid this, 3
+\begin_inset space \thinspace{}
+\end_inset
+
+pt space was inserted behind the minus sign with the command 
 \series bold
 
 \backslash
-hspace{3pt}
+hspace
 \series default
-
+.
 \begin_inset Foot
 status collapsed
 
@@ -28121,7 +28179,7 @@ hspace
 
 \end_inset
 
-.
+
 \end_layout
 
 \begin_layout Itemize
@@ -29406,7 +29464,7 @@ arg   "math-number-line-toggle"
 \end_layout
 
 \begin_layout Standard
-Except of inline formulas, all formulas can be numbered with two different
+Except for inline formulas, all formulas can be numbered with two different
  styles, see 
 \begin_inset CommandInset ref
 LatexCommand ref
@@ -31418,7 +31476,7 @@ A test of the new defined commands:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="6" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -31873,8 +31931,6 @@ Macro
 
 \begin_inset Graphics
        filename clipart/macrobox.png
-       lyxscale 90
-       scale 90
 
 \end_inset
 
@@ -32025,8 +32081,6 @@ qG
 
 \begin_inset Graphics
        filename clipart/macrouse.png
-       lyxscale 75
-       scale 75
 
 \end_inset
 
@@ -32194,7 +32248,7 @@ 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" tabularvalignment="middle">
+<features islongtable="true">
 <column alignment="left" valignment="top" width="0">
 <column alignment="left" valignment="top" width="85col%">
 <row interlinespace="2.5mm">
@@ -32227,7 +32281,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Remove Argument
+Remove Last Argument
 \end_layout
 
 \end_inset
@@ -32263,7 +32317,7 @@ Macro
 \end_inset
 
 Definition\SpecialChar \menuseparator
-Append Last Argument
+Append Argument
 \end_layout
 
 \end_inset
@@ -33302,7 +33356,7 @@ An example to visualize the problem:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="3" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="right" valignment="top" width="0">
 <column alignment="left" valignment="top" width="0">
 <row>
@@ -33572,7 +33626,7 @@ The following commands are defined:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="4" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -33880,7 +33934,7 @@ The style is a number in the range of 0
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -34157,7 +34211,7 @@ There are four ways to cancel formulas:
 \align center
 \begin_inset Tabular
 <lyxtabular version="3" rows="5" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0">
 <column alignment="center" valignment="top" width="0">
 <row>
@@ -34179,13 +34233,7 @@ Result
 status collapsed
 
 \begin_layout Plain Layout
-
-\series bold
-
-\backslash
-hspace
-\series default
- and
+The space and
 \series bold
  
 \backslash
@@ -35710,7 +35758,7 @@ Some characters and symbols can be created with several commands.
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>
@@ -36037,7 +36085,7 @@ vert
 
 \begin_inset Tabular
 <lyxtabular version="3" rows="12" columns="2">
-<features tabularvalignment="middle">
+<features>
 <column alignment="center" valignment="top" width="0pt">
 <column alignment="center" valignment="top" width="0pt">
 <row>