How to rotate symbols in the equation environment?

Question

I would like to make the following equation in the equation environment

However, I don't know how to insert the equality symbol that links both lines. Can this be done in the equation environment? If not, should we proceed?

Thanks in advance for your attention.

A similar question with accepted answers is available on this post. — Kian Mirjalali, Nov 15 '19 at 23:54
Unless this is a common notation, you might also look at \underbrace and \overbrace from the mathtools package. — John Kormylo, Nov 16 '19 at 15:05

score 8 · Answer 1 · answered Nov 16 '19 at 00:00

Most likely some very similar answer exists somewhere but I was not able to find it.

\documentclass{article}
\usepackage{mathtools}
\usepackage{graphicx}
\usepackage{eqparbox}
\begin{document}
\begin{align*}
 \eqmakebox[pft]{$\widetilde{h\circ\partial+\partial\circ h}$}&=
 \widetilde{h\circ\partial}+\widetilde{\partial\circ h}=
 \widetilde{h}\circ\widetilde{\partial}+\widetilde{\partial}\circ\widetilde{h}\\
 \eqmakebox[pft][c]{\rotatebox[origin=c]{90}{$=$}}&\\
 \widetilde{(\bar\ell_1)_{\#}+(\bar\ell_1)_{\#}}&=
 \widetilde{(\bar\ell_1)_{\#}}+\widetilde{(\bar\ell_1)_{\#}}
 =(\bar\ell_1)^{\#}+(\bar\ell_1)^{\#}
\end{align*}
\end{document}

Or with the really wide tilde from this answer.

\documentclass{article}
\usepackage{mathtools}
\usepackage{scalerel}
\usepackage{stackengine,wasysym}

\newcommand\reallywidetilde[1]{\ThisStyle{%
  \setbox0=\hbox{$\SavedStyle#1$}%
  \stackengine{-.1\LMpt}{$\SavedStyle#1$}{%
    \stretchto{\scaleto{\SavedStyle\mkern.2mu\AC}{.5150\wd0}}{.6\ht0}%
  }{O}{c}{F}{T}{S}%
}}
\usepackage{eqparbox}
\begin{document}
\begin{align*}
 \eqmakebox[pft]{$\reallywidetilde{h\circ\partial+\partial\circ h}$}&=
 \reallywidetilde{h\circ\partial}+\reallywidetilde{\partial\circ h}=
 \widetilde{h}\circ\widetilde{\partial}+\widetilde{\partial}\circ\widetilde{h}\\
 \eqmakebox[pft][c]{\rotatebox[origin=c]{90}{$=$}}&\\
 \reallywidetilde{(\bar\ell_1)_{\#}+(\bar\ell_1)_{\#}}&=
 \reallywidetilde{(\bar\ell_1)_{\#}}+\reallywidetilde{(\bar\ell_1)_{\#}}
 =(\bar\ell_1)^{\#}+(\bar\ell_1)^{\#}
\end{align*}
\end{document}

For the future I would kindly like to ask you to show what you have tried such that others do not have to punch in the formulae from a screen shot.

score 5 · Answer 2 · answered Nov 16 '19 at 00:17

Here's a way with eqparbox and yhmath (for \widetilde):

\documentclass{article}
\usepackage{mathtools}
\usepackage{yhmath}
\usepackage{eqparbox, graphicx} 

\newcommand*{\eqmathbox}[2][M]{\eqmakebox[#1]{$\displaystyle#2$}}

\begin{document}

  \begin{align*}
  \eqmathbox{ \widetilde{h\circ \partial + \partial\circ h}} & = \widetilde{h\circ \partial} +\widetilde{ \partial\circ h} =\bar{\partial}\circ \widetilde{h}+ \widetilde{h}\circ\bar{\partial} \\[-1ex]
\eqmathbox{\rotatebox[origin=c]{90}{$ = $}} \\[-0.5ex]
    \eqmathbox{\widetilde{(u_{1})_{\sharp}-(u_{0})_{\sharp}}} & = \widetilde{(u_{1})}_{\sharp}- \widetilde{(u_{0})}_{\sharp} = (i_{1})^{\sharp}- (i_{0})^{\sharp}
  \end{align*}

\end{document}

How to rotate symbols in the equation environment?

2 Answers2