How to use the asterisk symbol as superscript in LaTeX?

When writing mathematics in LaTeX, we often use various symbols. One important symbol is the asterisk (*).

Generally, the * is used for multiplication or to indicate something special. However, in some mathematical contexts, it can also be used as a superscript.

In this tutorial, we will learn how to use the asterisk (*) as a superscript in LaTeX and how it is applied in different cases.

What is a superscript and How does it work?

A superscript is any letter, number, or symbol written above the baseline in a smaller size. In LaTeX, superscripts are written using the caret (^) symbol.

x^n
x^{n!}

Now, the question is, if we want to use the * symbol as a superscript, how can we do that? Let’s understand it step by step

Using asterisk (*) as a superscript

To use the * as a superscript, we must place it after the ^ symbol. If there is only one character in the superscript, we don’t need curly braces {}. But if we use multiple characters, we must enclose them in ^{}.

\[ f^* \]
\[f^{**} \]

\[ f^* \]

\[ f^{**} \]

Used in quantum mechanics, linear algebra, and other mathematical equations. Here are some examples.

\[\langle \psi | A^* | \phi \rangle\]
\[ M^* = \overline{M} \]
\[f^*(x) = \int_{-\infty}^{\infty} g(t) e^{-ixt} dt\]

\[\langle \psi | A^* | \phi \rangle\]

\[ M^* = \overline{M} \]

\[f^*(x) = \int_{-\infty}^{\infty} g(t) e^{-ixt} dt\]

Conclusion

Using the * in LaTeX is very simple. We just need to use the ^ symbol correctly. If the superscript contains a single character, we don’t need {}. However, for multiple characters, using {} is necessary.

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