Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Normal_number> ?p ?o }
- Normal_number abstract "In mathematics, a normal number is a real number whose infinite sequence of digits in every base b is distributed uniformly in the sense that each of the b digit values has the same natural density 1/b, also all possible b2 pairs of digits are equally likely with density b−2, all b3 triplets of digits equally likely with density b−3, etc.Intuitively this means that no digit, or combination of digits, occurs more frequently than any other, and this is true whether the number is written in base 10, binary, or any other base. A normal number can be thought of as an infinite sequence of coin flips (binary) or rolls of a die (base 6). Even though there will be sequences such as 10, 100, or more consecutive tails (binary) or fives (base 6) or even 10, 100, or more repetitions of a sequence such as tail-head (two consecutive coin flips) or 6-1 (two consecutive rolls of a die), there will also be equally many of any other sequence of equal length. No digit or sequence is \"favored\".While a general proof can be given that almost all real numbers are normal (in the sense that the set of exceptions has Lebesgue measure zero), this proof is not constructive and only very few specific numbers have been shown to be normal. For example, it is widely believed that the numbers √2, π, and e are normal, but a proof remains elusive.".
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- Normal_number wikiPageWikiLink Alphabet_(formal_languages).
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- Normal_number wikiPageWikiLink Martingale_(probability_theory).
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- Normal_number wikiPageWikiLink String_(computer_science).
- Normal_number wikiPageWikiLink Substring.
- Normal_number wikiPageWikiLink The_Library_of_Babel.