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Forum index » Science and Technology » Math » Probability
question on measure theory
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Eric Bentura
science forum beginner


Joined: 21 Sep 2005
Posts: 2

PostPosted: Wed Sep 21, 2005 6:31 pm    Post subject: question on measure theory Reply with quote
I am studying a course in measure theory.
A one moment, for the definition of a measure.
It is said that if A belonging to the tribu T has a measure less than
infinity
then, this entails that m(empty set) = 0.
Someone knows why?

Thanks
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Henry
science forum addict


Joined: 15 May 2005
Posts: 58

PostPosted: Wed Sep 21, 2005 10:59 pm    Post subject: Re: question on measure theory Reply with quote
On Wed, 21 Sep 2005 22:31:23 +0200, "Eric Bentura" <ebentura@yahoo.fr>
wrote:
Quote:
I am studying a course in measure theory.
A one moment, for the definition of a measure.
It is said that if A belonging to the tribu T has a measure less than
infinity
then, this entails that m(empty set) = 0.
Someone knows why?

"Tribu" is not English: usually "tribe" but something else here

The argument may be something like
1. A and the empty set are disjoint: they have no elements in common
2. The union of A and the empty set is A: every element of either is
an element of A
3. so m(A) + m(empty set) = m(A)
4. m(A) is finite
5. so m(empty set) = 0
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Eric Bentura
science forum beginner


Joined: 21 Sep 2005
Posts: 2

PostPosted: Thu Sep 22, 2005 3:53 am    Post subject: Re: question on measure theory Reply with quote
Thank you for your answer
"Henry" <se16@btinternet.com> a écrit dans le message de news:
qvo3j1h07e20lb80d2298oh7um6u8bco18@4ax.com...
Quote:
On Wed, 21 Sep 2005 22:31:23 +0200, "Eric Bentura" <ebentura@yahoo.fr
wrote:
I am studying a course in measure theory.
A one moment, for the definition of a measure.
It is said that if A belonging to the tribu T has a measure less than
infinity
then, this entails that m(empty set) = 0.
Someone knows why?

"Tribu" is not English: usually "tribe" but something else here

The argument may be something like
1. A and the empty set are disjoint: they have no elements in common
2. The union of A and the empty set is A: every element of either is
an element of A
3. so m(A) + m(empty set) = m(A)
4. m(A) is finite
5. so m(empty set) = 0
Back to top
Google
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