How can I control the action of my box, keeping my fixed text in the center? The code created is as follows:
\documentclass[11pt, a4paper]{article}
\usepackage[latin1]{inputenc}
\usepackage[brazil]{babel}
\usepackage{graphicx}
\usepackage[top=2cm, bottom=2cm, left=2cm, right=2cm]{geometry}
\usepackage{amstext}
\usepackage{amsmath}
\usepackage{booktabs,array,tabularx}
\usepackage{subfig}
\usepackage{siunitx, makecell}
\usepackage{mathtools,float}
\begin{document}
\fbox{\begin{minipage}[H]{10cm}
$$\text{F.transfer\^{e}ncia}_b(\omega)=\frac{1}{\sqrt{1+(\frac{\omega}{\omega_c})^2}}e^{-j\arctan(\frac{\omega}{\omega_c})}$$
\end{minipage}}
\end{document}
When I try to change the size of the box, the text moves to the left and I do not want it.

\[ … \]preferable to$$? and recall that there is noHoption tominipage. – egreg Oct 08 '16 at 20:19