LaTeX Asymptotically Equal (∼) - Complete Guide
The asymptotically equal symbol (∼) denotes asymptotic behavior.
Symbol Preview
Asymptotically Equal
LaTeX Code
No package required
\simAsymptotically equal/similar
What is the LaTeX Asymptotically Equal?
Used to indicate that two functions have the same asymptotic growth or are similar.
How to Use Asymptotically Equal in LaTeX
Method 1: Using \sim
✅No package required
Asymptotically equal/similar
Example: Using \sim
\documentclass{article}
\begin{document}
% Using the Asymptotically Equal
Text with \sim
\end{document}Common Use Cases
The Asymptotically Equal symbol is commonly used in the following contexts:
Asymptotic Behavior
Functions behave similarly asymptotically.
Code
$f(n) \sim g(n)$Output
f(n) ∼ g(n)
Complete Examples
Asymptotic Growth
Asymptotic equivalence
\documentclass{article}
\begin{document}
For large $n$, $n! \sim \sqrt{2\pi n}(n/e)^n$ (Stirling approximation).
\end{document}Frequently Asked Questions
Which method should I use?
We recommend using the method marked as "Recommended" above. However, the best method depends on your specific needs:
- \sim: Asymptotically equal/similar
Where do I use this symbol?
This symbol can be used:
- In mathematical equations (math mode)
- In regular text (if using text mode)
- In various document environments
Can I use this in display mode?
Yes, symbols that work in math mode (between $ $) also work in display mode (between $$ $$). This allows you to display the symbol on its own line with larger formatting.
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