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I would like to connect two symbols in mathmode by a smaller symbol, like $x_v y$, but the $v$ should be right in the middle. Is there any way to do that?

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    Please clarify what you mean by "right in the middle". E.g., does middle refer to height of math symbols such as + and -?
    – Mico
    Commented Sep 20, 2022 at 17:45
  • Maybe you wish $x \vee y$, or not?
    – Sigur
    Commented Sep 21, 2022 at 17:50

2 Answers 2

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It's unclear to me exactly what you want, but it sounds like you want a letter v to be either an operation (like + or \times) or a relation (like < or \le). The spacing is slightly different:

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On the other hand, maybe you want the v to be raised up a bit:

enter image description here

For convenience you can make this into a macro. Here is the code for the subscript version:

\documentclass{article}

\newcommand{\vop}{\mathop{{}_v}}
\newcommand{\vrel}{\mathrel{{}_v}}

\begin{document}

$x\vop y$

$x\vrel y$

\end{document}

For the raised version you can use

\newcommand{\vop}{\mathop{\raisebox{.1ex}{$\scriptstyle v$}}}
\newcommand{\vrel}{\mathrel{\raisebox{.1ex}{$\scriptstyle v$}}}
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$v$ should not be a subscript of $x$, but a subscript of "nothing" (that is, ${}$). Then you can specify spaces as desired, for example a thick space \;:

$x\;{}_v\;y$

enter image description here

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