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equation* is defined by amsmath. So, if you're loading amsmath, then there is no difference amsmath, as it executes the following at the end: \DeclareRobustCommand{$}{\begin{equation*}} \DeclareRobustCommand{$}{\end{equation*}}

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To format \section* use the numberless setting in the extended syntax for the first argument: \documentclass{article} \usepackage[explicit]{titlesec} \titleformat{name=\section,numberless}[block]{\bf}{label}{1em}{#1}[trailer] \begin{document} \section*{Foo} Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore ...

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