superscript

A superscript is a symbol or group of symbols written above, and usually a bit to the right, of another symbol or group of symbols in order to show a relation among the two. The most common use of superscripts in mathematics is for notating exponentiation. For example, in the expression $4^7$, the 7 is a superscript to the 4. Iterated sum and product notation also uses superscripts most of the time, to show the iterator end values, and the same goes for integral notation. Notation of iterated functions also benefit from using superscripts to cut down on nested parentheses, e.g., $f^3(x)=f(f(f(x)))$; examples of iterated functions include the iterated totient function ${\varphi }^i(n)$ and iterated sum of divisors function ${\sigma }^i(n)$. The contravariant indices of tensors are also denoted by superscripts.

Nonfiction literature in general uses number superscripts to indicate footnotes with the corresponding numbers. This usage is often avoided in mathematical books and papers to prevent possible confusion with exponentiation.

Title	superscript
Canonical name	Superscript
Date of creation	2013-03-22 17:06:45
Last modified on	2013-03-22 17:06:45
Owner	PrimeFan (13766)
Last modified by	PrimeFan (13766)
Numerical id	7
Author	PrimeFan (13766)
Entry type	Definition
Classification	msc 00A99