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| Title of object: |
inverse number |
| Canonical Name: |
InverseNumber |
| Type: |
Definition |
| Created on: |
2004-12-14 05:53:51 |
| Modified on: |
2004-12-14 05:53:51 |
| Classification: |
msc:00A05, msc:12E99 |
Preamble:
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
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Content:
The {\em inverse number} of a non-zero real or complex number $a$ may me denoted by $a^{-1}$, and it \PMlinkescapetext{means} the quotient $\frac{1}{a}$ (so, it is really the $-1^\mathrm{th}$ power of $a$).
\begin{itemize}
\item Two numbers are inverse numbers of each other if and only if their product is equal to 1.
\item If $a$ ($\neq 0$) is given in a quotient form $\frac{b}{c}$, then its inverse number is simply
$$(\frac{b}{c})^{-1} = \frac{c}{b}.$$
\end{itemize} |
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