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BiggieB



Joined: Feb 19, 2005

Post   Posted: Feb 07, 2006 - 20:03 Reply with quote Back to top

Show that the class F of subsets A of R such that A or A-complement is discrete, is a sigma field. Define on F a set function P by P(A) = 0 if A is discrete and P(A)=1 if A complement is discrete. Show that P so defiende is a probability measure.

I can do the measure but the sigma field is beyond me Sad
Wallace



Joined: May 26, 2004

Post   Posted: Feb 07, 2006 - 23:53 Reply with quote Back to top

42
VultureSquadron



Joined: Sep 21, 2005

Post   Posted: Feb 08, 2006 - 00:16 Reply with quote Back to top

Pie

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When They're Down Good, When They're Dead Eat em!
Woodstock



Joined: Dec 11, 2004

Post   Posted: Feb 08, 2006 - 00:31 Reply with quote Back to top

No... Waffles!
JanMattys



Joined: Feb 29, 2004

Post   Posted: Feb 08, 2006 - 00:56 Reply with quote Back to top

Yes?

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Idolen



Joined: Aug 02, 2003

Post   Posted: Feb 08, 2006 - 01:04 Reply with quote Back to top

I know this one..... not =)

Good luck tho !

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1f u c4n r34d th1s u r34lly n33d t0 g37 l41d
Menikmati



Joined: Jan 02, 2005

Post   Posted: Feb 08, 2006 - 01:08 Reply with quote Back to top

pff, i could tell ya but helping someone who doesnt even know the answer on that an easy question wont help him anyway... honestly, what are i talking about? Smile

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i like cherrypicking. it helps me compensating my bad skill and lack of concentration due to excessive drug abuse.
JanMattys



Joined: Feb 29, 2004

Post   Posted: Feb 08, 2006 - 01:13 Reply with quote Back to top

Advanced probability: valid tactic or cheesy exploit?
Wink

...to be honest, I am quite curious about the answer to the original poster now... It is quite rare that I read a question whose terms are completely out of understanding capability Very Happy

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Kyyberi



Joined: Nov 27, 2004

Post   Posted: Feb 08, 2006 - 20:48 Reply with quote Back to top

I'd say Waffles too. As this is off-topic...

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Shepherd says some wise words...
Menikmati



Joined: Jan 02, 2005

Post   Posted: Feb 08, 2006 - 20:51 Reply with quote Back to top

Wallace wrote:
42


dude, you have no clue what you are talking about.
it's obviously 43. 43! 42 is for suckers

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i like cherrypicking. it helps me compensating my bad skill and lack of concentration due to excessive drug abuse.
Macavity



Joined: Nov 23, 2004

Post   Posted: Feb 08, 2006 - 20:53 Reply with quote Back to top

I would say Parsley, Rosemary and Thyme.....

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When I became a man I put away childish things, including the fear of childishness and the desire to be very grown up. -C.S. Lewis
torsoboy



Joined: Nov 23, 2004

Post   Posted: Feb 08, 2006 - 20:55 Reply with quote Back to top

BiggieB wrote:
Show that the class F of subsets A of R such that A or A-complement is discrete, is a sigma field. Define on F a set function P by P(A) = 0 if A is discrete and P(A)=1 if A complement is discrete. Show that P so defiende is a probability measure.

I can do the measure but the sigma field is beyond me Sad

Something is either designed or not. We could do some complex math to prove how unlikely it is that your symbols just formed out of nothing and made an intelligible sentence, but we can all see that it is coherent and therefor designed. Since it was intelligently designed, God created the universe.

PRAISE JESUS!
Melmoth



Joined: May 05, 2004

Post   Posted: Feb 08, 2006 - 20:55 Reply with quote Back to top

Is that chinese?
Macavity



Joined: Nov 23, 2004

Post   Posted: Feb 08, 2006 - 20:57 Reply with quote Back to top

No, Melmoth. That is a pronoun indicating a person, place, thing, idea, or state of being. An English word.

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When I became a man I put away childish things, including the fear of childishness and the desire to be very grown up. -C.S. Lewis
Plorg



Joined: May 08, 2005

Post   Posted: Feb 08, 2006 - 20:57 Reply with quote Back to top

http://en.wikipedia.org/wiki/Sigma_algebra

I hope that answers all your questions.
Further derivations are left as an exercise for the poster.
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