\begin{definition}[Definition:Conjugate Exponents/General Definition]
Let $\set {p_1, p_2, \ldots, p_n}$ be such that:
: $\forall i \in \set {1, 2, \ldots, n}: p_i \in \R_{\ge 1}$
Then $\left\{{p_1, p_2, \ldots, p_n}\right\}$ are '''conjugate exponents''' {{iff}}:
:$\ds \frac 1 {p_1} + \frac 1 {p_2} + \cdots + \frac 1 {p_n} = \sum_{i \mathop = 1}^n \frac 1 {p_i} = 1$
Category:Definitions/Measure Theory
\end{definition}