Definition:Conjugate Exponents/General Definition

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 if and only if:

$\ds \frac 1 {p_1} + \frac 1 {p_2} + \cdots + \frac 1 {p_n} = \sum_{i \mathop = 1}^n \frac 1 {p_i} = 1$