Borel_measure Borel_measure

Borel measure - Definition

Related Words: Alexandrine, A, Accent, Accommodation, Accord, Act, Action, Adapt, Add, Adventure, Air

In mathematics, the Borel algebra is the smallest σ-algebra on the real numbers R containing the intervals, and the Borel measure is the measure on this σ-algebra which gives to the interval [a, b] the measure ba (where a < b).

The Borel measure is not complete, which is why in practice the complete Lebesgue measure is preferred: every Borel measurable set is also Lebesgue measurable, and the measures of the set agree.

Example Usage of measure

danmartell: RT @KISSmetrics: Understanding #Freemium - How to Create and Grow Paying Customers - http://klck.me/AMq /by @pricing #measure #bestof09
healingheartsla: RT @pramitjnathan: Action is the real measure of intelligence. ~Napoleon Hill | RT @Rhuarhii http://myloc.me/2eC9P
josheidelson: McCain giving #hcr a wag of the finger. If only there were a good way to measure whether Americans want him running the country...
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