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Vertically aligning limits of consecutive math operators

Postby Reader » Wed Oct 06, 2021 5:04 pm

Near the end of Chapter 9, Writing Math Formulas, it's mentioned that with the mathtools package we can align limits of consecutive math operators vertically.

Do you have an example how to do that?

Recommended reading 2021:

LaTeXguide.org • LaTeX-Cookbook.net
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Stefan Kottwitz
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Vertically aligning limits of consecutive math operators

Postby Stefan Kottwitz » Wed Oct 20, 2021 11:55 pm

Here is an example taken from the LaTeX Cookbook, Chapter 10, Advanced Mathematics:

\documentclass[border=10pt,preview]{standalone}
\usepackage{dsfont}
\begin{document}
\[
  \lim_{n\to\infty} \sup_{x\in\mathds{R}} f_n(x^2)
  < n \Big(\sum_{x\in\mathds{R}, n\in\mathds{N}}
  \big| f_n(x^2) \big| \Big)
\]
\end{document}


We get:

inequality.png
inequality.png (14.04 KiB) Viewed 1440 times


Now we load the mathtools package, use the \adjustlimits command right before the \lim operator, insert \smashoperator to remove that big white space before \sum, and change x^2 to \cramped{x^2} to slightly lower the exponent, at both places:

\documentclass[border=10pt,preview]{standalone}
\usepackage{dsfont}
\usepackage{mathtools}
\begin{document}
\[
  \adjustlimits\lim_{n\to\infty} \sup_{x\in\mathds{R}}
    f_n(\cramped{x^2})
    < n \Big( \smashoperator{\sum_{x\in\mathds{R},
    n\in\mathds{N}}}
    \big\lvert f_n(\cramped{x^2}) \big\rvert \Big)
\]
\end{document}


We get:

finetuned.png
finetuned.png (12.5 KiB) Viewed 1440 times


You can see that the limits onm the left side have been adjusted vertically, and some more mentioned finetuning. The mathtools manual gives further information.

Stefan


Last bumped by Anonymous on Wed Oct 20, 2021 11:55 pm.
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