Lower overbrace in math environment

Question

I would like to achieve the following inside an math environment enter image description here

But I can't get the text below the equation

\operatorname{min} \left|
\overbrace{\text{Hadamard product}}^{\begin{pmatrix}
X \circ X \end{pmatrix}} - \begin{pmatrix} 1 & 2 & 3 & \dots & M \end{pmatrix}
\right|^2

results in: enter image description here

In this special case I personally like the overbrace more and underbrace does not solve the problem, the brackets get to big — tripplet, Jan 29 '13 at 19:51

Werner · Answer 1 · 2013-01-29T19:58:21.947

abraces can be used for this - swapping/mixing ofthe brace directions:

enter image description here

\documentclass{article}
\usepackage{abraces,mathtools}% http://ctan.org/pkg/{abraces,mathtools}
\begin{document}
\[
  \setbox9=\hbox{$(X \circ X)$}
  \operatorname{min} \big| 
    \mathrlap{\hspace{.5\wd9}\mathclap{\aunderbrace[L1U1R]{\scriptstyle\phantom{\text{Hadamard product}}}_{\text{Hadamard product}}}}
    (X \circ X) - (1 \ 2 \ 3 \ \cdots \ M )\big|^2
\]
\[
  \operatorname{min} \big| 
    \underbrace{(X \circ X)}_{\mathclap{\text{Hadamard product}}}
    - (1 \ 2 \ 3 \ \cdots \ M )\big|^2
\]
\end{document}

The use of \box9 is just for finding the correct width of (X \circ X). That is, some box movement is required in order to place the \aunderbrace at the correct location. The second option looks better though.

You could use an \overbrace as well. And, using \big (and friends) instead of \left...\right allows for a better appearance in terms of the absolute delimiters.

I think it's best practise to always use \bigl and \bigr instead of \big. Otherwise you may get wrong spacing, e.g. for \big|\sin x\big|. — Hendrik Vogt, Jan 30 '13 at 09:17

score 2 · Accepted Answer · edited Apr 13 '17 at 12:34

Here's a way that doesn't need box measurements. I define a command \setbelow with one optional and two mandatory arguments. With the optional argument, the stuff below can be lowered more if needed. The result is essentially the same as in Werner's answer:

output

For a more flexible solution that also works with \left and \right see this answer of mine.

\documentclass{article}
\usepackage{mathtools}
\newcommand*\setbelow[3][0ex]{%
  \mathop{#2\rule[-#1]{0pt}{0pt}}_{\mathclap{#3}}%
  }
\begin{document}
\[
  \min \bigl|
  \bigl( X \mathbin{\setbelow[0.2ex]{\circ}
                    {\overbrace{\scriptstyle\text{Hadamard product}}}} X \bigr)
  - \begin{pmatrix} 1 & 2 & 3 & \dots & M \end{pmatrix}
  \bigr|^2
\]
\end{document}

Note that you can simply write \min instead of \operatorname{min}!

I accepted your answer, because I specially like that everything is warped in a single command — tripplet, Jan 30 '13 at 14:57

Lower overbrace in math environment

2 Answers2