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- 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.In lay terms, 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.".
- Normal_number wikiPageExternalLink ziv78compression.html.
- Normal_number wikiPageExternalLink 1103043507.
- Normal_number wikiPageExternalLink 1103038420.
- Normal_number wikiPageExternalLink LBNL-53656_Journal.
- Normal_number wikiPageExternalLink pimatrix.html.
- Normal_number wikiPageExternalLink 06report_normalnumbers.pdf.
- Normal_number wikiPageExternalLink pp527_546.pdf.
- Normal_number wikiPageExternalLink baicran.pdf.
- Normal_number wikiPageID "204277".
- Normal_number wikiPageRevisionID "606525924".
- Normal_number hasPhotoCollection Normal_number.
- Normal_number id "NormalNumber".
- Normal_number title "Normal number".
- Normal_number subject Category:Number_theory.
- Normal_number subject Category:Sets_of_real_numbers.
- Normal_number type Abstraction100002137.
- Normal_number type Collection107951464.
- Normal_number type Group100031264.
- Normal_number type Set107996689.
- Normal_number type SetsOfRealNumbers.
- Normal_number comment "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.In lay terms, 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. ".
- Normal_number label "Nombre normal".
- Normal_number label "Normaal getal".
- Normal_number label "Normal number".
- Normal_number label "Normale Zahl".
- Normal_number label "Numero normale".
- Normal_number label "Número normal".
- Normal_number label "Número normal".
- Normal_number label "Нормальное число".
- Normal_number label "正規数".
- Normal_number label "正规数".
- Normal_number sameAs Normální_číslo.
- Normal_number sameAs Normale_Zahl.
- Normal_number sameAs Número_normal.
- Normal_number sameAs Nombre_normal.
- Normal_number sameAs Numero_normale.
- Normal_number sameAs 正規数.
- Normal_number sameAs Normaal_getal.
- Normal_number sameAs Número_normal.
- Normal_number sameAs m.01c_lb.
- Normal_number sameAs Q902708.
- Normal_number sameAs Q902708.
- Normal_number sameAs Normal_number.
- Normal_number wasDerivedFrom Normal_number?oldid=606525924.
- Normal_number isPrimaryTopicOf Normal_number.