The Lebesgue Measure on Rn. (2015)

• Record Type: Journal Article
• Authors: Mărginean, Diana
• Is Part Of: Procedia technology. Volume 19(2015)
• Page Start: 789
• Page End: 792
• Publication Date: 2015
• Subjects: positive measures -- outer measures -- Lebesgue measure; Technology -- Congresses; Technology -- Periodicals; Engineering -- Congresses; Engineering -- Periodicals; Engineering; Technology; Conference proceedings; Periodicals; 605
• DOI: 10.1016/j.protcy.2015.02.112
• Languages: English
• ISSNs: 2212-0173

Abstract

Abstract: Lebesgue measure on R n is restriction of outer Lebesgue measure to the family of Lebesgue measurable sets. All properties of Lebesgue positive measure on R are transfered to Lebesgue measure on R n . The Lebesgue measure on B is only meassure defined on σ-algebra of Borel sets of R n, which is invariance to translation and .