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- Khinchin's_constant abstract "In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x, coefficients ai of the continued fraction expansion of x have a finite geometric mean that is independent of the value of x and is known as Khinchin's constant.That is, forit is almost always true thatwhere is sequence multiplication and is Khinchin's constant(sequence A002210 in OEIS).Among the numbers x whose continued fraction expansions do not have this property are rational numbers, solutions of quadratic equations with rational coefficients (including the golden ratio Φ), and the base of the natural logarithm e.Khinchin is sometimes spelled Khintchine (the French transliteration of Russian Хи́нчин) in older mathematical literature.".
- Khinchin's_constant wikiPageExternalLink khinchin.txt.
- Khinchin's_constant wikiPageExternalLink khintchine.txt.
- Khinchin's_constant wikiPageExternalLink borwein1.pdf.
- Khinchin's_constant wikiPageExternalLink 95-036-Bailey-Borwein-Crandall.pdf.
- Khinchin's_constant wikiPageID "435315".
- Khinchin's_constant wikiPageRevisionID "571311036".
- Khinchin's_constant hasPhotoCollection Khinchin's_constant.
- Khinchin's_constant subject Category:Continued_fractions.
- Khinchin's_constant subject Category:Mathematical_constants.
- Khinchin's_constant type Abstraction100002137.
- Khinchin's_constant type Cognition100023271.
- Khinchin's_constant type ComplexNumber113729428.
- Khinchin's_constant type Concept105835747.
- Khinchin's_constant type Constant105858936.
- Khinchin's_constant type Content105809192.
- Khinchin's_constant type ContinuedFraction113736550.
- Khinchin's_constant type ContinuedFractions.
- Khinchin's_constant type DefiniteQuantity113576101.
- Khinchin's_constant type Fraction113732078.
- Khinchin's_constant type Idea105833840.
- Khinchin's_constant type MathematicalConstants.
- Khinchin's_constant type Measure100033615.
- Khinchin's_constant type Number113582013.
- Khinchin's_constant type PsychologicalFeature100023100.
- Khinchin's_constant type Quantity105855125.
- Khinchin's_constant type RationalNumber113730469.
- Khinchin's_constant type RealNumber113729902.
- Khinchin's_constant comment "In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x, coefficients ai of the continued fraction expansion of x have a finite geometric mean that is independent of the value of x and is known as Khinchin's constant.That is, forit is almost always true thatwhere is sequence multiplication and is Khinchin's constant(sequence A002210 in OEIS).Among the numbers x whose continued fraction expansions do not have this property are rational numbers, solutions of quadratic equations with rational coefficients (including the golden ratio Φ), and the base of the natural logarithm e.Khinchin is sometimes spelled Khintchine (the French transliteration of Russian Хи́нчин) in older mathematical literature.".
- Khinchin's_constant label "Constante de Khintchine".
- Khinchin's_constant label "Costante di Khinchin".
- Khinchin's_constant label "Khinchin's constant".
- Khinchin's_constant label "Stała Chinczyna".
- Khinchin's_constant label "辛钦常数".
- Khinchin's_constant sameAs Constante_de_Khintchine.
- Khinchin's_constant sameAs Costante_di_Khinchin.
- Khinchin's_constant sameAs Stała_Chinczyna.
- Khinchin's_constant sameAs m.0285rr.
- Khinchin's_constant sameAs Q2718188.
- Khinchin's_constant sameAs Q2718188.
- Khinchin's_constant sameAs Khinchin's_constant.
- Khinchin's_constant wasDerivedFrom Khinchin's_constant?oldid=571311036.
- Khinchin's_constant isPrimaryTopicOf Khinchin's_constant.