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A sample space is usually denoted using set notation, and the possible ordered outcomes, or sample points, [5] are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols.
A thesaurus (pl.: thesauri or thesauruses), sometimes called a synonym dictionary or dictionary of synonyms, is a reference work which arranges words by their meanings (or in simpler terms, a book where one can find different words with similar meanings to other words), [1] [2] sometimes as a hierarchy of broader and narrower terms, sometimes simply as lists of synonyms and antonyms.
Moreover, the positions of the zeroes in the inversion table give the values of left-to-right maxima of the permutation (in the example 6, 8, 9) while the positions of the zeroes in the Lehmer code are the positions of the right-to-left minima (in the example positions the 4, 8, 9 of the values 1, 2, 5); this allows computing the distribution ...
Until the end of the 19th century, the word variable referred almost exclusively to the arguments and the values of functions. In the second half of the 19th century, it appeared that the foundation of infinitesimal calculus was not formalized enough to deal with apparent paradoxes such as a nowhere differentiable continuous function .
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
the values 1 and −1, often simply abbreviated by + and −; A lower-case letter with the exponent 0 or 1. If these values represent "low" and "high" settings of a treatment, then it is natural to have 1 represent "high", whether using 0 and 1 or −1 and 1. This is illustrated in the accompanying table for a 2×2 experiment.
For example, if is Lebesgue measure on = and is the property of not being equal to (i.e. () is true if and only if ), then each holds almost everywhere, but the conjunction does not hold anywhere. As a consequence of the first two properties, it is often possible to reason about "almost every point" of a measure space as though it were an ...
A binary digit can have one of two possible values, and may be physically represented with a two-state device. These state values are most commonly represented as either a 0 or 1. [30] bit rate (R) Also bitrate. In telecommunications and computing, the number of bits that are conveyed or processed per unit of time. [31] blacklist. Also block list.