Luzin's theorem

Luzin's theorem

[‚lü·zēnz ‚thir·əm]
(mathematics)
Given a measurable function ƒ which is finite almost everywhere in a euclidean space, then for every number ε > 0 there is a continuous function g which agrees with ƒ, except on a set of measure less than ε. Also spelled Lusin's theorem.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.