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In probability theory, an outcome is a possible result of an experiment or trial. [1] Each possible outcome of a particular experiment is unique, and different outcomes are mutually exclusive (only one outcome will occur on each trial of the experiment). All of the possible outcomes of an experiment form the elements of a sample space. [2]
Polysemy (/ p ə ˈ l ɪ s ɪ m i / or / ˈ p ɒ l ɪ ˌ s iː m i /; [1] [2] from Ancient Greek πολύ-(polý-) 'many' and σῆμα (sêma) 'sign') is the capacity for a sign (e.g. a symbol, a morpheme, a word, or a phrase) to have multiple related meanings.
[4] Given a commutative diagram of objects and morphisms between them, if one wishes to prove some property of the morphisms (such as injectivity) which can be stated in terms of elements, then the proof can proceed by tracing the path of elements of various objects around the diagram as successive morphisms are applied to it.
The consistency means that if the data were generated by (;) and we have a sufficiently large number of observations n, then it is possible to find the value of θ 0 with arbitrary precision. In mathematical terms this means that as n goes to infinity the estimator θ ^ {\displaystyle {\widehat {\theta \,}}} converges in probability to its true ...
Although the languages distinguish between singular, dual, and plural, any given noun only has a single possible number marker. What number is implicit in an unmarked noun depends on its class. In Kiowa, by default, Class I nouns are singular-dual, Class II nouns are plural (two or more), Class III nouns are dual, and Class IV nouns are mass ...
A possible world is a complete and consistent way the world is or could have been. Possible worlds are widely used as a formal device in logic , philosophy , and linguistics in order to provide a semantics for intensional and modal logic .
There are known formulae to evaluate the prime-counting function (the number of primes smaller than a given value) faster than computing the primes. This has been used to compute that there are 1,925,320,391,606,803,968,923 primes (roughly 2 × 10 21 ) smaller than 10 23 .
Another question is whether possible equality among entries in the given sequence is to be taken into account; if so, one should only generate distinct multiset permutations of the sequence. An obvious way to generate permutations of n is to generate values for the Lehmer code (possibly using the factorial number system representation of ...