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 moon is door. It is a face in its own right,
White as a knuckle and terribly upset.
It drags the sea after it like a dark crime; it is quiet
With the O-gape of complete despair.”
—Sylvia Plath (1932–1963)
“The source of Pyrrhonism comes from failing to distinguish between a demonstration, a proof and a probability. A demonstration supposes that the contradictory idea is impossible; a proof of fact is where all the reasons lead to belief, without there being any pretext for doubt; a probability is where the reasons for belief are stronger than those for doubting.”
—Andrew Michael Ramsay (1686–1743)
“It is not through space that I must seek my dignity, but through the management of my thought. I shall have no more if I possess worlds.”
—Blaise Pascal (1623–1662)