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In mathematics, an event that occurs with high probability (often shortened to w.h.p. or WHP) is one whose probability depends on a certain number n and goes to 1 as n goes to infinity, i.e. the probability of the event occurring can be made as close to 1 as desired by making n big enough.
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W^5 – which was what we wanted. Synonym of Q.E.D. walog – without any loss of generality. wff – well-formed formula. whp – with high probability. wlog – without loss of generality. WMA – we may assume. WO – well-ordered set. [1] WOP – well-ordered principle. w.p. – with probability. wp1 – with probability 1.
See p. 36 of Halpern (2003). Probability measures are a special case of belief functions in which the mass function assigns positive mass to singletons of the event space only. A different notion of upper and lower probabilities is obtained by the lower and upper envelopes obtained from a class C of probability distributions by setting
Wikipedia's community uses the working definition for the word likely: "probable; having a greater-than-even chance of occurring" or "having a high probability of occurring." [ 1 ] Many statements are likely to be challenged, and many statements are un likely to be challenged.
In other words, no parity function can distinguish between a small-bias sample space and the uniform distribution with high probability, and hence, small-bias sample spaces naturally give rise to pseudorandom generators for parity functions.
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Moral certainty is a concept of intuitive probability. It means a very high degree of probability, sufficient for action, but short of absolute or mathematical certainty. It means a very high degree of probability, sufficient for action, but short of absolute or mathematical certainty.
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