This document is based on the first sample / example document provided by Authorea - with alterations only in the first few sections. This is a small change (the title too.)
It can do inline math, such as \(\hat{\lambda}\) . We show that \({\mathfrak{{\ell}}_{I,\Lambda}} \ni {\mathcal{{Y}}_{\mathbf{{u}},\mathfrak{{v}}}}\). And also lots more.
The later sections could be lots of gibberish, to demonstrate several of its features.