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\documentclass{article}
\usepackage{iftex}
\usepackage{ifthen}
\usepackage{epsfig}
\usepackage[utf8]{inputenc}
\usepackage{xcolor}
\ifPDFTeX
\usepackage{newunicodechar}
\makeatletter
\def\doxynewunicodechar#1#2{%
\@tempswafalse
\edef\nuc@tempa{\detokenize{#1}}%
\if\relax\nuc@tempa\relax
\nuc@emptyargerr
\else
\edef\@tempb{\expandafter\@car\nuc@tempa\@nil}%
\nuc@check
\if@tempswa
\@namedef{u8:\nuc@tempa}{#2}%
\fi
\fi
}
\makeatother
\doxynewunicodechar{⁻}{${}^{-}$}% Superscript minus
\doxynewunicodechar{²}{${}^{2}$}% Superscript two
\doxynewunicodechar{³}{${}^{3}$}% Superscript three
\fi
\pagestyle{empty}
\begin{document}
$\rho$
\pagebreak
\[\rho(\xi) \approx \rho_{h}(\xi) = \sum_{j}c_{j}\phi_{j}(\xi)
\]
\pagebreak
$c_{j}$
\pagebreak
$j^{th}$
\pagebreak
$\phi_{j}$
\pagebreak
$\xi$
\pagebreak
$q$
\pagebreak
$E$
\pagebreak
\[E_{qj} = \phi_{j}(\xi_{q})
\]
\pagebreak
\[\rho_{h}(\xi_{q}) = E\mathbf{c}
\]
\pagebreak
$E^{T}$
\pagebreak
\[\rho_h(\xi) = \sum_{j=1}^{n} c_j \phi_j(\xi).
\]
\pagebreak
\[E_{qj} = \phi_j(\xi_q).
\]
\pagebreak
\[\rho_h(\xi_q) = \sum_{j=1}^{n} E_{qj} c_j.
\]
\pagebreak
\[\boldsymbol{\rho}_h = E\mathbf{c}.
\]
\pagebreak
\end{document}