alignmentfractionssuperscripts
When I use subscripts and superscript with \frac the numerator and denominator looks very tight,
\documentclass[a4paper,12pt]{article}
\usepackage{mathtools,amssymb}
\begin{document}
\[e^{-\frac{(x-\mu_2)^2}{2\sigma^2_2}}\]
\[e^{-\dfrac{(x-\mu_2)^2}{2\sigma^2_2}}\]
\end{document}
So I tried using \dfrac but not the minus sign and fraction line are not aligned.
Anybody has a smart fix to this?
Here is a modified version of \sufr that now takes an optional argument indicating the raise quantity:
\documentclass[a4paper]{article}
\usepackage{amsmath}% http://ctan.org/pkg/amsmath
\newcommand\sufr[3][0pt]{$\rule{0pt}{\dimexpr#1+1.4ex\relax}^\frac{#2}{#3}$}
\begin{document}
text$^\frac{1}{6}$ \quad text\sufr{1}{6} \quad text\sufr[5pt]{1}{6}
\end{document}
The example sets the regular sans-\sufr-style superscript fraction, followed by the regular \sufr, followed by a 5pt raise of the fraction. The default raise is 0pt, which is similar to a regular superscript fraction.
Take caution of possible line height imperfections with such use, as is shown in the following example:
\documentclass[a4paper]{article}
\usepackage{amsmath}% http://ctan.org/pkg/amsmath
\newcommand\sufr[3][0pt]{$\rule{0pt}{\dimexpr#1+1.4ex\relax}^\frac{#2}{#3}$}
\begin{document}
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
The quick brown fox jumps over the lazy\sufr[5pt]{1}{6} dog.
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
The quick brown fox jumps over the lazy\sufr{1}{6} dog.
\end{document}
You could, of course, \smash the superscript, but that may cause overlay problems.
The error message is issued because the numerator part of the fractional expression isn't terminated with a } (closing curly brace).
You should also contemplate inline-fraction notation, {-1/x}, for the exponent of e. The resulting expression will be both more compact and easier to read as the terms are typeset in script style rather than in scriptscript style.
Finally, note that using $$ to start and end display-math mode is deprecated in LaTeX; use \[ and \] instead. For more information on this subject, see Why is \[ ... \] preferable to $$ ... $$?
\documentclass{article}
\begin{document}
\[
\lim_{x\to 0^{+}} \frac{e^{-\frac{1}{x}}}{x^{10}} =
\lim_{x\to 0^{+}} \frac{e^{-1/x}}{x^{10}}
\]
\end{document}
Best Answer
The cause of the misalignment is that the minus sign is in
scriptstyle, but the fraction is being forced intodisplaystyle. Here are a few options:\[e^{\displaystyle -\frac{(x-\mu_2)^2}{2\sigma^2_2}}\]\[e^{\dfrac{-(x-\mu_2)^2}{2\sigma^2_2}}\]\[e^{-(x-\mu_2)^2/2\sigma^2_2}\]\[\exp\bigl(-(x-\mu_2)^2/2\sigma^2_2\bigr)\]