almost everywhere

A condition is said to hold almost everywhere on a measurable set \(X\) if the subset \(N\) of elements of \(X\) on which the condition does not hold has measure zero, i.e., if \(N\) is a null set.

Citation Info

  • [MLA] “almost everywhere.” Platonic Realms Interactive Mathematics Encyclopedia. Platonic Realms, 21 Feb 2013. Web. 21 Feb 2013. <>
  • [APA] almost everywhere (21 Feb 2013). Retrieved 21 Feb 2013 from the Platonic Realms Interactive Mathematics Encyclopedia:


Get the ultimate math study-guide Math & Me: Embracing Successproduct thumbnail image Available in the Math Store
detail from Escher pic Belvedere

Are you a mathematical artist?

Platonic Realms is preparing an online gallery space to showcase and market the works of painters, sculptors, and other artists working in a tangible medium.

If your work celebrates mathematical themes we want to hear from you!

Please let us know about yourself using the contact page.