- Math.lyx: document Georg's new implemented integral signs and update the description of the \***op integral commands
git-svn-id: svn://svn.lyx.org/lyx/lyx-devel/trunk@28359
a592a061-630c-0410-9148-
cb99ea01b6c8
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ointop
\series default
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\series default
These operators are different from
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int
\series default
These operators are different from
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\backslash
int
\series default
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-
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-oint
-\series default
-, resp.
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\series default
\series bold
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\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
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
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\begin_layout Standard
\begin_inset Tabular
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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\align center
\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
<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>
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\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Index
status collapsed
\begin_layout Plain Layout
\begin_inset Index
status collapsed
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sum$
+\begin_inset Formula $\int$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
-int
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Befehle ! I !
-\backslash
-int
-\end_layout
-
-\end_inset
-
-
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\int$
+\begin_inset Formula $\oint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\intop$
+\begin_inset Formula $\ointctrclockwise$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\oint$
+\begin_inset Formula $\ointclockwise$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointop$
+\begin_inset Formula $\sqint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointctrclockwise$
+
+\begin_inset Formula $\fint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointclockwise$
+
+\begin_inset Formula $\landupint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sqint$
+
+\begin_inset Formula $\landdownint$
-<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>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\begin_layout Plain Layout
+\backslash
+sum
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Befehle ! S !
+\backslash
+sum
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\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
\backslash
prod
\begin_inset Index
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
+Für alle Integrale gibt es Befehle, die auf
+\series bold
+op
+\series default
+ enden:
\series bold
\backslash
intop
\series default
\series bold
\backslash
intop
\series default
\series bold
\backslash
ointop
\series default
\series bold
\backslash
ointop
\series default
+ usw..
+ Diese unterscheiden sich von
\series bold
\backslash
int
\series default
\series bold
\backslash
int
\series default
+ usw.
+\begin_inset space \space{}
+\end_inset
-\backslash
-oint
-\series default
- in der Art wie die Operatorgrenzen dargestellt werden, siehe
+in der Art wie die Operatorgrenzen dargestellt werden, siehe
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Operatorgrenzen"
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Operatorgrenzen"
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
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\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
-Bei Integralen werden mit Ausnahme von
+Bei Integralen werden mit Ausnahme von denen, die auf
+\series bold
+op
+\series default
+ enden (
\series bold
\backslash
intop
\series default
\series bold
\backslash
intop
\series default
\series bold
\backslash
ointop
\series default
\series bold
\backslash
ointop
\series default
- die Grenzen standardmäßig neben den Operator gesetzt.
+ usw.), die Grenzen standardmäßig neben den Operator gesetzt.
Bei Mehrfachintegralen werden die Grenzen jedoch meistens unter den Operator
gesetzt.
Im folgenden Beispiel wurde die Grenze deswegen auf
Bei Mehrfachintegralen werden die Grenzen jedoch meistens unter den Operator
gesetzt.
Im folgenden Beispiel wurde die Grenze deswegen auf
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="3">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="3">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
\begin_inset Tabular
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
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<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
\begin_inset Tabular
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+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
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\align center
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\align center
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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\align center
\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\align center
\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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\align center
\begin_inset Tabular
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+<features tabularvalignment="middle">
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\align center
\begin_inset Tabular
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\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
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\begin_inset Tabular
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\align center
\begin_inset Tabular
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+<features tabularvalignment="middle">
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<row>
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\begin_inset Tabular
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\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
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<column alignment="left" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
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\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
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\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
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\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
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\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
\begin_inset Tabular
<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>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Index
status collapsed
\begin_layout Plain Layout
\begin_inset Index
status collapsed
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sum$
+\begin_inset Formula $\int$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
-int
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Comandos ! I !
-\backslash
-int
-\end_layout
-
-\end_inset
-
-
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\int$
+\begin_inset Formula $\oint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\intop$
+\begin_inset Formula $\ointctrclockwise$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\oint$
+\begin_inset Formula $\ointclockwise$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointop$
+\begin_inset Formula $\sqint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointctrclockwise$
+
+\begin_inset Formula $\fint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointclockwise$
+
+\begin_inset Formula $\landupint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sqint$
+
+\begin_inset Formula $\landdownint$
-<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>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\begin_layout Plain Layout
+\backslash
+sum
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Comandos ! S !
+\backslash
+sum
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\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
\backslash
prod
\begin_inset Index
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
+
+\lang english
+For all integral operators there is a second version available, ending on
+
+\series bold
+op
+\series default
+:
\series bold
\backslash
intop
\series default
\series bold
\backslash
intop
\series default
\series bold
\backslash
ointop
\series default
\series bold
\backslash
ointop
\series default
+ etc..
+ These
+\lang spanish
+ operadores
+\lang english
+are
+\lang spanish
difieren de
\series bold
\backslash
int
\series default
difieren de
\series bold
\backslash
int
\series default
+ etc.
+\begin_inset space \space{}
+\end_inset
-\backslash
-oint
-\series default
- en el estilo en que se presentan los límites, véase
+en el estilo en que se presentan los límites, véase
\series bold
\series default
\series bold
\series default
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Standard
En integrales, excepto
\begin_layout Standard
En integrales, excepto
+\lang english
+those ending with
+\series bold
+op
+\series default
+ like
+\lang spanish
+
\series bold
\backslash
intop
\series default
\series bold
\backslash
intop
\series default
\series bold
\backslash
ointop
\series default
\series bold
\backslash
ointop
\series default
-, los límites se colocan por omisión junto al operador.
+ etc., los límites se colocan por omisión junto al operador.
Pero en integrales múltiples los límites se ponen con frecuencia bajo el
operador.
Por tanto, en el siguiente ejemplo se ha elegido el tipo
Pero en integrales múltiples los límites se ponen con frecuencia bajo el
operador.
Por tanto, en el siguiente ejemplo se ha elegido el tipo
\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\align center
\begin_inset Tabular
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\align center
\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
\align center
\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\begin_inset Tabular
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\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
\align center
\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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\begin_inset Tabular
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\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
+<features tabularvalignment="middle">
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\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
+<features tabularvalignment="middle">
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\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
+<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">
<column alignment="center" valignment="middle" width="6.8cm">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row>
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\begin_inset space \hfill{}
\end_inset
\begin_inset space \hfill{}
\end_inset
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
\begin_inset Tabular
<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>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Index
status collapsed
\begin_layout Plain Layout
\begin_inset Index
status collapsed
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sum$
+\begin_inset Formula $\int$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
-int
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commandes ! I !
-\backslash
-int
-\end_layout
-
-\end_inset
-
-
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\int$
+\begin_inset Formula $\oint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\intop$
+\begin_inset Formula $\ointctrclockwise$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\oint$
+\begin_inset Formula $\ointclockwise$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointop$
+\begin_inset Formula $\sqint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointctrclockwise$
+
+\begin_inset Formula $\fint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointclockwise$
+
+\begin_inset Formula $\landupint$
\begin_layout Plain Layout
\backslash
\begin_layout Plain Layout
\backslash
\begin_inset Text
\begin_layout Plain Layout
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sqint$
+
+\begin_inset Formula $\landdownint$
-<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>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\begin_layout Plain Layout
+\backslash
+sum
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Commandes ! S !
+\backslash
+sum
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\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
\backslash
prod
\begin_inset Index
\begin_inset space \hfill{}
\end_inset
\begin_inset space \hfill{}
\end_inset
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
+
+\lang english
+For all integral operators there is a second version available, ending on
+
+\series bold
+op
+\series default
+:
\series bold
\backslash
intop
\series default
\series bold
\backslash
intop
\series default
\series bold
\backslash
ointop
\series default
\series bold
\backslash
ointop
\series default
- sont différents de respectivement
+ etc..
+ These operators
+\lang french
+ sont différents de
\series bold
\backslash
int
\series default
\series bold
\backslash
int
\series default
+ etc.
+\begin_inset space \space{}
+\end_inset
-\backslash
-oint
-\series default
-, dans la manière dont sont affichés les limites, voir
+dans la manière dont sont affichés les limites, voir
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Limites-des-opérateurs"
\begin_inset CommandInset ref
LatexCommand ref
reference "sub:Limites-des-opérateurs"
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\end_inset
Pour les intégrales, à part pour
\end_inset
Pour les intégrales, à part pour
+\lang english
+those ending with
+\series bold
+op
+\series default
+ like
+\lang french
+
\series bold
\backslash
intop
\series default
\series bold
\backslash
intop
\series default
\series bold
\backslash
ointop
\series default
\series bold
\backslash
ointop
\series default
-, les limites sont placées par défaut après l'opérateur.
+ etc., les limites sont placées par défaut après l'opérateur.
Mais pour les intégrales multiples les limites sont souvent placées sous
l'opérateur.
Dans l'exemple suivant, le type de limites a donc été mis à
Mais pour les intégrales multiples les limites sont souvent placées sous
l'opérateur.
Dans l'exemple suivant, le type de limites a donc été mis à
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
+<features tabularvalignment="middle">
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<row>
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="3">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="3">
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
+<features tabularvalignment="middle">
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\begin_inset Tabular
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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\begin_inset Tabular
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<row>
\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
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<row>
<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
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\begin_inset Tabular
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+<features tabularvalignment="middle">
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\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
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<row>
<column alignment="center" valignment="top" width="0">
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<row>
\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
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<row>
<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
+<features tabularvalignment="middle">
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<row>
<column alignment="center" valignment="top" width="0pt">
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
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\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
+<features tabularvalignment="middle">
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<row>
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
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<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
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<row>
<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="4">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="4">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
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<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
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<row>
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
+<features tabularvalignment="middle">
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<row>
<column alignment="center" valignment="top" width="0pt">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="block" valignment="top" width="0">
<row>
<column alignment="block" valignment="top" width="0">
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<row>
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<lyxtabular version="3" rows="8" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
<row>
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
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<row>
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
<column alignment="block" valignment="top" width="0">
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
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<row>
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
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<row>
<column alignment="center" valignment="top" width="0">
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
+<features tabularvalignment="middle">
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<row>
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<row>
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\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
+<features tabularvalignment="middle">
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<row>
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\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
+<features tabularvalignment="middle">
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<row>
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<row>
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\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
+<features tabularvalignment="middle">
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<row>
<column alignment="center" valignment="top" width="0">
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
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<row>
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
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