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:
“The complete life, the perfect pattern, includes old age as well as youth and maturity. The beauty of the morning and the radiance of noon are good, but it would be a very silly person who drew the curtains and turned on the light in order to shut out the tranquillity of the evening. Old age has its pleasures, which, though different, are not less than the pleasures of youth.”
—W. Somerset Maugham (1874–1965)
“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)
“With sturdy shoulders, space stands opposing all its weight to nothingness. Where space is, there is being.”
—Friedrich Nietzsche (1844–1900)