1. \documentclass{article}
2. \begin{document}
3. \end{document}
\begin{document} statement and the \end{document}
statement.
\documentclass{article}
\begin{document}
One of the benefits of using \LaTeX \ is that you can typeset
beautiful mathematical expression relatively easily (once you get
used to the rules, it becomes quite easy). For instance, look at
the following sentence that contains mathematical
expression.\footnote{Spivak, Michael. 1998. {\itshape Calculus on
Manifolds.} Addison-Wesley.}
If $\Phi$ is another partition of unity, subordinate to an
admissible cover $\mathcal{O}'$ of $A$, then $\sum_{\psi \in
\Psi}\int_A\psi\cdot|f|$ also converges, and
$$\sum_{\varphi\in\Phi}\int_A\varphi\cdot f =
\sum_{\psi\in\Psi}\int_A\psi\cdot f.$$
\end{document}
The result of the above script is shown below.