How to put an arrow below a vector?

Question

I am having trouble writing this vector:

$\textbf{v}=(2n-1,n-1,n-1,\ldots,n-1,1,1,\ldots,1)$.

I want to indicate that $n-1$ appears $n-1$ times and $1$ appears $n$ times by writing arrow under $\ldots$ .

But I can't do it.

It should be \mathbf, not \textbf. – egreg Jul 10 '19 at 09:17 — egreg, Jul 10 '19 at 09:17

score 9 · Accepted Answer · answered Jul 10 '19 at 06:24

9

I actually would not use arrows for the job at hand. I suggest, instead, that you use \underbrace directives (provided by the amsmath package) to provide a platform for the two explanatory text snippets $n-1$ times and $n$ times. Indicating explicitly that \mathbf{v} is a 2n\times1 vector might be helpful too.

\documentclass{article}
\usepackage{amsmath} % for \underbrace macro
\begin{document}
$\mathbf{v}^{}_{2n\times1}=(2n-1,\underbrace{n-1,\dots,n-1}_{\text{$n-1$ times}},\underbrace{1,\ldots,1}_{\text{$n$ times}}\,)'$
\end{document}

answered Jul 10 '19 at 06:24

Mico

506,678

1

This is so much better. In the original, for example, you do not know if the number of "1" is "n" or if the arrow substitutes for "n", leading to "n+4" ones... – Rmano Jul 10 '19 at 06:57
This is excellent! – Charlotte Jul 11 '19 at 02:45

score 4 · Answer 2 · answered Jul 10 '19 at 06:19

4

The amsmath package provides \underrightarrow and \underset for this job.

\documentclass{article}
\usepackage{amsmath}
\begin{document}
$\mathbf{v}=(2n-1,n-1,n-1,\underset{n-1}{\underrightarrow{\ldots}},n-1,1,1,\underset{n}{\underrightarrow{\ldots}},1)$.
\end{document}

answered Jul 10 '19 at 06:19

Henri Menke

109,596

What about shifting the arrow a bit lower? – CarLaTeX Jul 10 '19 at 06:53
@CarLaTeX That's unfortunately hardcoded in amsmath.sty. – Henri Menke Jul 10 '19 at 07:28
@HenriMenke - The arrows can be shifted down a bit by replacing \ldots with \ldots\mathstrut. – Mico Jul 10 '19 at 13:08
You may also want to replace \underset{n-1} with \underset{\mathclap{n-1}}. \mathclap requires the `mathtools package, a fact I'm sure you're aware of too. :-) – Mico Jul 10 '19 at 13:14

score 2 · Answer 3 · answered Jul 10 '19 at 09:17

I have two proposals. In the first one, the arrow reaches a bit beyond the commas, in the second one the arrow covers all objects to be replicated.

The top line is meant to show that the spacing is the same.

\documentclass{article}
\usepackage{amsmath,calc}

\makeatletter
\newcommand{\replA}[2]{% #1 = number of times, #2 = object
  \vtop{\offinterlineskip\m@th
    \sbox\z@{$,\dotsc,{}$}%
    \ialign{&\hfil##\hfil\cr
      $#2$&$,\dotsc,{}$&$#2$\cr
      \noalign{\kern 1.5pt}
      &\scriptsize\makebox[\wd\z@]{\hspace{-0.3em}\rightarrowfill\hspace{-0.3em}}\cr
      \multispan{3}\hfil\scriptsize$\mathstrut#1$\hfil\cr
    }%
  }%
}
\newcommand{\replB}[2]{% #1 = number of times, #2 = object
  \vtop{\offinterlineskip\m@th
    \ialign{\hfil##\hfil\cr
      $#2,\dots,#2$\cr
      \noalign{\kern 1.5pt}
      \scriptsize\,\rightarrowfill\,\cr
      \scriptsize$\mathstrut#1$\cr
    }%
  }%
}
\makeatother

\begin{document}

$\mathbf{v}=(2n-1,n-1,\dots,n-1,1,\dots,1)$

$\mathbf{v}=(2n-1,\replA{n-1}{n-1},\replA{n}{1})$

$\mathbf{v}=(2n-1,\replB{n-1}{n-1},\replB{n}{1})$

\end{document}

How to put an arrow below a vector?

3 Answers3

Linked