Category:Definitions/Jordan Content

This category contains definitions related to Jordan Content.
Related results can be found in Category:Jordan Content.

Let $M \subseteq \R^n$ be a bounded subspace of Euclidean $n$-space.

The Jordan content is defined and denoted as:

$\map m M = \map {m^*} M = \map {m_*} M$

where:

$\map {m^*} M$ denotes the outer Jordan content of $M$

$\map {m_*} M$ denotes the inner Jordan content of $M$

if and only if the two values are equal.