Complete Probability Space
A probability space is said to be a complete probability space if for all with and all one has . Often, the study of probability spaces is restricted to complete probability spaces.
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Famous quotes containing the words complete, probability and/or space:
“Down these mean streets a man must go who is not himself mean, who is neither tarnished nor afraid.... He is the hero, he is everything. He must be a complete man and a common man and yet an unusual man. He must be, to use a rather weathered phrase, a man of honor, by instinct, by inevitability, without thought of it, and certainly without saying it. He must be the best man in his world and a good enough man for any world.”
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“Liberty is a blessing so inestimable, that, wherever there appears any probability of recovering it, a nation may willingly run many hazards, and ought not even to repine at the greatest effusion of blood or dissipation of treasure.”
—David Hume (17111776)
“Why not a space flower? Why do we always expect metal ships?”
—W.D. Richter (b. 1945)