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EthanDeng
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elegantbook-en.tex
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@@ -430,7 +430,7 @@ If you want to customize the title of \lstinline{problemset}, please change the
We will define the integral of a measurable function in three steps. First, we define the integral of a nonnegative simple function. Let $E$ be the measurable set in $\mathcal{R}^N$.
\begin{definition}{Left Coset}{}
Let $H$ be a subgroup of a group~$G$. A \emph{left coset} of $H$ in $G$ is a subset of $G$ that is of the form $xH$, where $x \in G$ and $xH = \{ xh : h \in H \}$. Similarly a \emph{right coset} of $H$ in $G$ is a subset of $G$ that is of the form $Hx$, where $Hx = \{ hx : h \in H \}$
Let $H$ be a subgroup of a group~$G$. A \emph{left coset} of $H$ in $G$ is a subset of $G$ that is of the form $xH$, where $x \in G$ and $xH = \{ xh : h \in H \}$. Similarly a \emph{right coset} of $H$ in $G$ is a subset of $G$ that is of the form $Hx$, where $Hx = \{ hx : h \in H \}$ $\hbar$
\end{definition}
\begin{note}
@@ -521,8 +521,7 @@ cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non
proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
\begin{equation}
E = m\elegantpar{c^{2}}{
\begin{equation*}E=mc^2\end{equation*}}
E = m\elegantpar{c^{2}}{$E=mc^2$}
\end{equation}
\chapter{FAQ}