-#LyX 1.6.1 created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
+\lyxformat 348
\begin_document
\begin_header
\textclass scrbook
\begin_inset Newline newline
\end_inset
-Version 1.6.x
+Version 2.0.x
\end_layout
\begin_layout Standard
-#LyX 1.6.2svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
+\lyxformat 348
\begin_document
\begin_header
\textclass scrartcl
\family sans
-Version 1.6.0
+Version 2.0.x
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
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-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
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+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
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+<features tabularvalignment="middle">
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<row>
\align center
\begin_inset Tabular
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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="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
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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>
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
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<row>
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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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-<features>
+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
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-<features>
+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
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+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
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<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
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<row>
\align center
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<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
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\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
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+<features tabularvalignment="middle">
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<lyxtabular version="3" rows="4" columns="2">
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+<features tabularvalignment="middle">
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<row>
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<lyxtabular version="3" rows="5" columns="2">
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+<features tabularvalignment="middle">
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<row>
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\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
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+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
<row>
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\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
-<lyxtabular version="3" rows="12" 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>
\begin_layout Plain Layout
-\backslash
-sum
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commands ! S !
-\backslash
-sum
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" 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
int
\begin_inset Index
\begin_inset Tabular
-<lyxtabular version="3" rows="10" columns="2">
-<features>
+<lyxtabular version="3" rows="11" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
+\backslash
+sum
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
+Commands ! S !
+\backslash
+sum
+\end_layout
+
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+\begin_inset Formula $\sum$
+\end_inset
+
+
+\end_layout
+
+\end_inset
+</cell>
+</row>
+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
\backslash
prod
\begin_inset Index
\backslash
ointop
\series default
- etc.
+ etc..
These operators are different from
\series bold
\backslash
int
\series default
- and
-\series bold
-
-\backslash
-oint
-\series default
-, resp.
-\begin_inset space ~
+ etc.
+\begin_inset space \space{}
\end_inset
in the style the operator limits are displayed, see
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\backslash
intop
\series default
- and
+,
\series bold
\backslash
ointop
\series default
-, the limits are by default set beside the operator.
+ etc., the limits are by default set beside the operator.
But for multiple integrals the limits are often set below the operator.
In the following example the limits type was therefore set to
\series bold
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
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\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="17" columns="2">
-<features>
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="4">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="4">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="block" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="block" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true">
+<features islongtable="true" tabularvalignment="middle">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="85col%">
<row interlinespace="2.5mm">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
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+<features tabularvalignment="middle">
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-#LyX 1.6.2svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
+\lyxformat 348
\begin_document
\begin_header
\textclass scrartcl
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+Version 2.0.x
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+<features tabularvalignment="middle">
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\begin_layout Plain Layout
\backslash
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\begin_inset Index
status collapsed
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-
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-
-
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\end_layout
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\begin_inset Text
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+\begin_inset Formula $\oint$
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+ointctrclockwise
\end_layout
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\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\intop$
+\begin_inset Formula $\ointctrclockwise$
\end_inset
\begin_layout Plain Layout
\backslash
-oint
+ointclockwise
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\oint$
+\begin_inset Formula $\ointclockwise$
\end_inset
\begin_layout Plain Layout
\backslash
-ointop
+sqint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointop$
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\end_inset
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\backslash
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+fint
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\begin_inset Text
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+
+\begin_inset Formula $\fint$
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\backslash
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+landupint
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\begin_inset Text
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-\begin_inset Formula $\ointclockwise$
+
+\begin_inset Formula $\landupint$
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\backslash
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+landdownint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sqint$
+
+\begin_inset Formula $\landdownint$
\end_inset
\begin_inset Tabular
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+<lyxtabular version="3" rows="11" columns="2">
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\begin_layout Plain Layout
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+sum
+\begin_inset Index
+status collapsed
+
+\begin_layout Plain Layout
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+\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
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+\end_inset
+
+
+\end_layout
+
+\end_inset
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+<row>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\begin_layout Plain Layout
+
\backslash
prod
\begin_inset Index
\end_layout
\begin_layout Standard
-Die Operatoren
+Für alle Integrale gibt es Befehle, die auf
+\series bold
+op
+\series default
+ enden:
\series bold
\backslash
intop
\series default
- und
+,
\series bold
\backslash
ointop
\series default
- unterscheiden sich von
+ usw..
+ Diese unterscheiden sich von
\series bold
\backslash
int
\series default
- bzw.
-
-\series bold
+ 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 Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
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\end_inset
-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
- und
+,
\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
\begin_inset Tabular
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<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
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+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
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<row>
\align center
\begin_inset Tabular
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<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
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<column alignment="block" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
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<column alignment="block" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="8" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="block" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="9" columns="2">
-<features islongtable="true">
+<features islongtable="true" tabularvalignment="middle">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="85col%">
<row interlinespace="2.5mm">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="right" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="12" columns="2">
-<features>
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
<row>
-#LyX 1.6.2svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
+\lyxformat 348
\begin_document
\begin_header
\textclass scrartcl
\begin_inset Newline newline
\end_inset
-Versión 1.6.x
+Versión 2.0.x
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
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<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
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<row>
\align center
\begin_inset Tabular
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<row>
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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="2" columns="2">
-<features>
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<row>
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\begin_inset Tabular
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\begin_inset Tabular
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-<features>
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="7">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
<row>
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\backslash
-sum
+int
\begin_inset Index
status collapsed
\begin_layout Plain Layout
-Comandos ! S !
+Comandos ! I !
\backslash
-sum
+int
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sum$
+\begin_inset Formula $\int$
\end_inset
\begin_layout Plain Layout
\backslash
-int
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Comandos ! I !
-\backslash
-int
-\end_layout
-
-\end_inset
-
-
+oint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\int$
+\begin_inset Formula $\oint$
\end_inset
\begin_layout Plain Layout
\backslash
-intop
+ointctrclockwise
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\intop$
+\begin_inset Formula $\ointctrclockwise$
\end_inset
\begin_layout Plain Layout
\backslash
-oint
+ointclockwise
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\oint$
+\begin_inset Formula $\ointclockwise$
\end_inset
\begin_layout Plain Layout
\backslash
-ointop
+sqint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointop$
+\begin_inset Formula $\sqint$
\end_inset
\begin_layout Plain Layout
\backslash
-ointctrclockwise
+fint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointctrclockwise$
+
+\begin_inset Formula $\fint$
\end_inset
\begin_layout Plain Layout
\backslash
-ointclockwise
+landupint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointclockwise$
+
+\begin_inset Formula $\landupint$
\end_inset
\begin_layout Plain Layout
\backslash
-sqint
+landdownint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sqint$
+
+\begin_inset Formula $\landdownint$
\end_inset
\begin_inset Tabular
-<lyxtabular version="3" rows="10" columns="2">
-<features>
+<lyxtabular version="3" rows="11" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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
\end_layout
\begin_layout Standard
-Los operadores
+
+\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
- y
+,
\series bold
\backslash
ointop
\series default
+ etc..
+ These
+\lang spanish
+ operadores
+\lang english
+are
+\lang spanish
difieren de
\series bold
\backslash
int
\series default
- y
-\series bold
+ 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
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\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
- y
+,
\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
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
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<row>
\begin_inset Tabular
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-<features>
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
-<features>
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="3">
-<features>
+<features tabularvalignment="middle">
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<column alignment="center" valignment="top" width="0">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="3">
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+<features tabularvalignment="middle">
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\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
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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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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="7" columns="2">
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+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="6" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
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<row>
\begin_inset Tabular
<lyxtabular version="3" rows="10" columns="2">
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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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-#LyX 1.6.2svn created this file. For more info see http://www.lyx.org/
-\lyxformat 345
+#LyX 2.0.0svn created this file. For more info see http://www.lyx.org/
+\lyxformat 348
\begin_document
\begin_header
\textclass scrartcl
\family sans
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+Version 2.0.x
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\begin_inset Tabular
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<column alignment="center" valignment="top" width="0pt">
<row>
\begin_inset Tabular
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-<features>
+<features tabularvalignment="middle">
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<lyxtabular version="3" rows="3" columns="3">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="middle" width="6.8cm">
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<column alignment="center" valignment="top" width="0pt">
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="3" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
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<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Standard
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="left" valignment="top" width="0">
<column alignment="left" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="5" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\end_layout
\begin_layout Standard
-
-\lang english
\begin_inset space \hfill{}
\end_inset
-\lang french
-
\begin_inset Tabular
<lyxtabular version="3" rows="11" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\begin_layout Plain Layout
\backslash
-sum
+int
\begin_inset Index
status collapsed
\begin_layout Plain Layout
-Commandes ! S !
+Commandes ! I !
\backslash
-sum
+int
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sum$
+\begin_inset Formula $\int$
\end_inset
\begin_layout Plain Layout
\backslash
-int
-\begin_inset Index
-status collapsed
-
-\begin_layout Plain Layout
-Commandes ! I !
-\backslash
-int
-\end_layout
-
-\end_inset
-
-
+oint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\int$
+\begin_inset Formula $\oint$
\end_inset
\begin_layout Plain Layout
\backslash
-intop
+ointctrclockwise
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\intop$
+\begin_inset Formula $\ointctrclockwise$
\end_inset
\begin_layout Plain Layout
\backslash
-oint
+ointclockwise
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\oint$
+\begin_inset Formula $\ointclockwise$
\end_inset
\begin_layout Plain Layout
\backslash
-ointop
+sqint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointop$
+\begin_inset Formula $\sqint$
\end_inset
\begin_layout Plain Layout
\backslash
-ointctrclockwise
+fint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointctrclockwise$
+
+\begin_inset Formula $\fint$
\end_inset
\begin_layout Plain Layout
\backslash
-ointclockwise
+landupint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\ointclockwise$
+
+\begin_inset Formula $\landupint$
\end_inset
\begin_layout Plain Layout
\backslash
-sqint
+landdownint
\end_layout
\end_inset
\begin_inset Text
\begin_layout Plain Layout
-\begin_inset Formula $\sqint$
+
+\begin_inset Formula $\landdownint$
\end_inset
\begin_inset Tabular
-<lyxtabular version="3" rows="10" columns="2">
-<features>
+<lyxtabular version="3" rows="11" columns="2">
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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
\end_inset
-\lang english
-
\begin_inset space \hfill{}
\end_inset
\end_layout
\begin_layout Standard
-Les opérateurs
+
+\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
- et
+,
\series bold
\backslash
ointop
\series default
- sont différents de respectivement
+ etc..
+ These operators
+\lang french
+ sont différents de
\series bold
\backslash
int
\series default
- et
-\series bold
+ 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 Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\begin_inset Tabular
<lyxtabular version="3" rows="4" columns="2">
-<features>
+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0">
<column alignment="center" valignment="top" width="0">
<row>
\align center
\begin_inset Tabular
<lyxtabular version="3" rows="2" columns="2">
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+<features tabularvalignment="middle">
<column alignment="center" valignment="top" width="0pt">
<column alignment="center" valignment="top" width="0pt">
<row>
\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
- et
+,
\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
\begin_inset Tabular
<lyxtabular version="3" rows="13" columns="2">
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