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:
“Fate forces its way to the powerful and violent. With subservient obedience it will assume for years dependency on one individual: Caesar, Alexander, Napoleon, because it loves the elemental human being who grows to resemble it, the intangible element. Sometimes, and these are the most astonishing moments in world history, the thread of fate falls into the hands of a complete nobody but only for a twitching minute.”
—Stefan Zweig (18811942)
“Crushed to earth and rising again is an author’s gymnastic. Once he fails to struggle to his feet and grab his pen, he will contemplate a fact he should never permit himself to face: that in all probability books have been written, are being written, will be written, better than anything he has done, is doing, or will do.”
—Fannie Hurst (1889–1968)
“Through space the universe encompasses and swallows me up like an atom; through thought I comprehend the world.”
—Blaise Pascal (1623–1662)