Jordan measure
The Jordan - measure is a term from the measure theory. This goes back to Marie Ennemond Camille Jordan, who based it in 1890 on the work of Giuseppe Peano developed. With the Jordan measure can be assigned to bounded subsets of a content and receives an integral term, which is the Riemannian integral analogue term.
Definition
Be
And
Be the dice content, which for all with by
And is defined.
The inner content is a limited amount A
Was her external content
A set is Jordan measurable or quadrierbar if is bounded and.
The Jordan - measure of a Jordan - measurable quantity is given by.
Valid for a limited, as is Jordan - measurable and is called Jordan -null set.