\end_inset
+\end_layout
+
+\begin_layout Standard
+\begin_inset VSpace bigskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\lang english
+When several consecutive operators have limits the typesetting of the limits
+ looks often imperfect in the output, see this example:
+\lang japanese
+
+\begin_inset Formula
+\[
+\text{a)}\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
+\end_inset
+
+
+\lang english
+To improve the typesetting set in the document settings under
+\family sans
+Math
+\begin_inset space ~
+\end_inset
+
+Options
+\family default
+ for the package
+\lang japanese
+
+\series bold
+mathtools
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+ぱっけーじ@パッケージ ! mathtools
+\end_layout
+
+\end_inset
+
+
+\lang english
+the option
+\family sans
+Load
+\begin_inset space ~
+\end_inset
+
+always
+\family default
+.
+ Then insert into your formula the command
+\series bold
+\lang japanese
+
+\backslash
+adjustlimits
+\series default
+
+\begin_inset Index idx
+status collapsed
+
+\begin_layout Plain Layout
+こまんど@コマンド ! A !
+\backslash
+adjustlimits
+\end_layout
+
+\end_inset
+
+
+\lang english
+directly before the first operator.
+ The example will then look like this:
+\lang japanese
+
+\begin_inset Formula
+\[
+\text{a)}\adjustlimits\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\adjustlimits\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\adjustlimits\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\adjustlimits\limsup_{n\to\infty}\max_{p\ge n}
+\]
+
+\end_inset
+
+
\end_layout
\begin_layout Standard
\end_layout
+\begin_layout Standard
+\begin_inset VSpace medskip
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+
+\lang english
+How to adjust the typesetting of the limits see
+\lang japanese
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "sub:演算子の範囲"
+
+\end_inset
+
+。
+\end_layout
+
\begin_layout Subsection
剰余関数
\begin_inset Index idx