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I find the \mid is a little short, so I alway use \,\big|\, instead of \mid. But I don’t know how to make a longer \nmid. \not\mid or \not | obviously doesn’t produce \nmid, so the what I did for longer \mid doesn’t work. Could you give me some ideas? Thanks!

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In the meantime I hope that you excuse me if I reply your question with these links, but I think that they help you to find half answer: Why does \big\mid not work?, \middle too big.

Here my MWE using scalerel package to have a big \nmid. Into \scaleobj{...} you can put a scale factor.

\documentclass[a4paper,12pt]{article}
\usepackage{amsmath,amssymb}
\usepackage{scalerel}

\begin{document} [a\mathbin{\scaleobj{1}{\nmid}} b] [\begin{Vmatrix} 1 & 2 & 3\ a & b & c \end{Vmatrix}\mathbin{\scaleobj{2}{\nmid}} \begin{Vmatrix} 7 & 2 & 1\ a & b & c \end{Vmatrix}]

\end{document}

enter image description here

Sebastiano
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