Math.lyx: typos, textual improvements and formatting issues spotted or suggested by Scott Kostyshak (final part 2)

lib/doc/Math.lyx

@@ -209,12 +209,11 @@
 \bullet 1 0 6 -1
 \bullet 2 2 35 -1
 \bullet 3 2 7 -1
-\tracking_changes true
+\tracking_changes false
 \output_changes false
 \html_math_output 0
 \html_css_as_file 0
 \html_be_strict false
-\author -1853239151 "scott" 
 \end_header
 
 \begin_body
@@ -999,13 +998,11 @@ An arrow like
 \end_inset
 
  denotes the usage of the corresponding arrow key on the keyboard.
-
+ The 
-\change_inserted -1853239151 1332304617
- 
 \family sans
 Tab
 \family default
- can often be used to replace 
+ key can often be used instead of 
 \begin_inset Formula $\to$
 \end_inset
 
@@ -1017,7 +1014,7 @@ Tab
 \family sans
 Shift+Tab
 \family default
- for 
+ instead of 
 \begin_inset Formula $\leftarrow$
 \end_inset
 
@@ -1026,8 +1023,6 @@ Shift+Tab
 \end_inset
 
 .
-\change_unchanged
-
 \end_layout
 
 \begin_layout Subsection*
@@ -2000,19 +1995,6 @@ spce
 \end_inset
 
 e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
 \backslash
 frac
 \begin_inset ERT
@@ -28221,11 +28203,8 @@ reference "sub:Standard-align-Environment"
 \end_inset
 
 .
-
+ The align environment is recommended because it provides in any case a
-\change_inserted -1853239151 1334713000
+ typographically correct output.
- The align environment is recommended.
-\change_unchanged
-
 \end_layout
 
 \begin_layout Standard
@@ -28779,10 +28758,6 @@ hspace
 \end_inset
 
 
-\change_inserted -1853239151 1334712095
- Note that the label is only applied to the second line.
-\change_unchanged
-
 \end_layout
 
 \begin_layout Itemize
@@ -30144,6 +30119,11 @@ Label
 
 .
  The cursor must hereby be inside a displayed formula.
+ Alternatively you can right-click on the formula and choose 
+\family sans
+Equation Label
+\family default
+.
  A dialog pops up displaying the prefix 
 \series bold
 eq:
@@ -30173,18 +30153,10 @@ section labels.
 Insert\SpecialChar \menuseparator
 Label
 \family default
- is used again
+ is used again or you right-click on a formula and then on 
-\change_inserted -1853239151 1334715366
+\family sans
- or you can right-click on the formula and click on 
+Equation Label
-\begin_inset Quotes eld
+\family default
-\end_inset
-
-equation label
-\begin_inset Quotes erd
-\end_inset
-
-
-\change_unchanged
 .
 \end_layout
 

lib/doc/de/Math.lyx

@@ -1007,6 +1007,31 @@ B.
 \end_inset
 
  steht für den Druck der jeweiligen Pfeiltaste auf der Tastatur.
+ Die 
+\family sans
+Tabulator
+\family default
+-Taste kann oft anstelle von 
+\begin_inset Formula $\to$
+\end_inset
+
+ und 
+\begin_inset Formula $\downarrow$
+\end_inset
+
+ benutzt werden und 
+\family sans
+Umschalt+Tabulator
+\family default
+ anstelle von 
+\begin_inset Formula $\leftarrow$
+\end_inset
+
+ und 
+\begin_inset Formula $\uparrow$
+\end_inset
+
+.
 \end_layout
 
 \begin_layout Subsection*
@@ -1946,19 +1971,6 @@ leer
 \end_inset
 
 e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-leer 
-\end_layout
-
-\end_inset
-
-
 \backslash
 frac
 \begin_inset ERT
@@ -28205,6 +28217,8 @@ reference "sub:Standard-align-Umgebung"
 \end_inset
 
  beschrieben ist.
+ Es wird empfohlen die align-Umgebung zu verwenden, denn sie erscheint in
+ jedem Fall typographisch korrekt in der Ausgabe.
 \end_layout
 
 \begin_layout Standard
@@ -30125,6 +30139,11 @@ Marke
 
  gesetzt.
  Dabei muss sich der Cursor in einer abgesetzten Formel befinden.
+ Alternativ klickt man mit rechts auf die Formel und wählt 
+\family sans
+Formelmarke
+\family default
+.
  Es erscheint ein Eingabefeld mit dem voreingestellten Eintrag 
 \series bold
 eq:
@@ -30144,6 +30163,10 @@ equation
 \family sans
 Einfügen\SpecialChar \menuseparator
 Marke
+\family default
+ oder man klickt mit rechts auf eine Formel und dann auf 
+\family sans
+Formelmarke
 \family default
 .
 \end_layout

lib/doc/es/Math.lyx

@@ -959,6 +959,34 @@ Una flecha como
 
  indica el uso de la correspondiente tecla de flecha.
  
+\lang english
+The 
+\family sans
+Tab
+\family default
+ key can often be used instead of 
+\begin_inset Formula $\to$
+\end_inset
+
+ y 
+\begin_inset Formula $\downarrow$
+\end_inset
+
+, y 
+\family sans
+Shift+Tab
+\family default
+ instead of 
+\lang spanish
+
+\begin_inset Formula $\leftarrow$
+\end_inset
+
+ y 
+\begin_inset Formula $\uparrow$
+\end_inset
+
+.
 \end_layout
 
 \begin_layout Subsection*
@@ -1937,19 +1965,6 @@ spce
 \end_inset
 
 e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
 \backslash
 frac
 \begin_inset ERT
@@ -28648,6 +28663,10 @@ reference "sub:Entorno-align-estándar"
 \end_inset
 
 .
+ 
+\lang english
+The align environment is recommended because it provides in any case a typograph
+ically correct output.
 \end_layout
 
 \begin_layout Standard
@@ -30524,6 +30543,15 @@ Etiqueta
 
  de la barra de herramientas.
  El cursor debe estar dentro de una ecuación en modo presentación.
+ 
+\lang english
+Alternatively you can right-click on the formula and choose 
+\family sans
+Equation Label
+\family default
+.
+
+\lang spanish
  Surge un diálogo con el prefijo 
 \series bold
 eq:
@@ -30552,6 +30580,12 @@ de las etiquetas de sección.
 Insertar\SpecialChar \menuseparator
 Etiqueta 
 \family default
+o 
+\lang english
+you right-click on a formula and then on 
+\family sans
+Equation Label
+\family default
 .
 \end_layout
 

lib/doc/fr/Math.lyx

@@ -988,6 +988,35 @@ Une flèche comme celle-ci
 \end_inset
 
  indique que l'on doit appuyer sur la flèche correspondante du clavier.
+ 
+\lang english
+The 
+\family sans
+Tab
+\family default
+ key can often be used instead of 
+\begin_inset Formula $\to$
+\end_inset
+
+ et 
+\begin_inset Formula $\downarrow$
+\end_inset
+
+, et 
+\family sans
+Shift+Tab
+\family default
+ instead of 
+\lang french
+
+\begin_inset Formula $\leftarrow$
+\end_inset
+
+ et 
+\begin_inset Formula $\uparrow$
+\end_inset
+
+.
 \end_layout
 
 \begin_layout Subsection*
@@ -1888,19 +1917,6 @@ spce
 \end_inset
 
 e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
 \backslash
 frac
 \begin_inset ERT
@@ -28238,6 +28254,10 @@ reference "sub:Environnement-align-standard"
 \end_inset
 
 .
+ 
+\lang english
+The align environment is recommended because it provides in any case a typograph
+ically correct output.
 \end_layout
 
 \begin_layout Standard
@@ -30200,6 +30220,15 @@ Insérer\SpecialChar \menuseparator
  de la barre d'outils.
  Pour cela, le curseur doit se trouver à l'intérieur d'une formule hors
  ligne.
+ 
+\lang english
+Alternatively you can right-click on the formula and choose 
+\family sans
+Equation Label
+\family default
+.
+
+\lang french
  Une fenêtre de dialogue apparaît affichant le préfixe 
 \series bold
 eq:
@@ -30222,6 +30251,12 @@ eq:
 Insérer\SpecialChar \menuseparator
 Étiquette 
 \family default
+ou 
+\lang english
+you right-click on a formula and then on 
+\family sans
+Equation Label
+\family default
 .
 \end_layout
 

lib/doc/ja/Math.lyx

@@ -864,6 +864,32 @@ spce
 \end_inset
 
 のような矢印は、キーボードから対応する矢印キーを押すことを表します。
+\lang english
+The 
+\family sans
+Tab
+\family default
+ key can often be used instead of 
+\begin_inset Formula $\to$
+\end_inset
+
+ and 
+\begin_inset Formula $\downarrow$
+\end_inset
+
+, and 
+\family sans
+Shift+Tab
+\family default
+ instead of 
+\begin_inset Formula $\leftarrow$
+\end_inset
+
+ and 
+\begin_inset Formula $\uparrow$
+\end_inset
+
+.
 \end_layout
 
 \begin_layout Subsection*
@@ -1781,19 +1807,6 @@ spce
 \end_inset
 
 e^
-\begin_inset ERT
-status collapsed
-
-\begin_layout Plain Layout
-
-
-\backslash
-spce 
-\end_layout
-
-\end_inset
-
-
 \backslash
 frac
 \begin_inset ERT
@@ -27799,6 +27812,9 @@ reference "sub:標準align環境"
 align環境
 \series default
 が作り出されることになります。
+\lang english
+The align environment is recommended because it provides in any case a typograph
+ically correct output.
 \end_layout
 
 \begin_layout Standard
@@ -29579,7 +29595,15 @@ status collapsed
 
 \end_inset
 
-で付けることができます。このとき、カーソルは別行建て数式の中になくてはなりません。すると、テキストフィールドの中に
+で付けることができます。このとき、カーソルは別行建て数式の中になくてはなりません。
+\lang english
+Alternatively you can right-click on the formula and choose 
+\family sans
+Equation Label
+\family default
+.
+\lang japanese
+すると、テキストフィールドの中に
 \series bold
 eq:と
 \series default
@@ -29589,7 +29613,14 @@ eq:と
 挿入\SpecialChar \menuseparator
 ラベル
 \family default
-メニューをもういちど使って下さい。
+メニューをもういちど使って下さい
+\lang english
+or you right-click on a formula and then on 
+\family sans
+Equation Label
+\family default
+\lang japanese
+。
 \end_layout
 
 \begin_layout Standard