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Superparticular Number

Ratio, Nicomachus, Introduction to Arithmetic, Størmer's Theorem, Graph Theory, Aspect Ratio - .
Book on DemandKartoniert, Paperback
76 Seiten
Englisch
Superparticular numbers were written about by Nicomachus in his treatise "Introduction to Arithmetic". They are useful in the study of harmony: many musical intervals can be expressed as a superparticular ratio. In this application, Størmer's theorem can be used to list all possible superparticular numbers for a given limit; that is, all ratios of this type in which both the numerator and denominator are smooth numbers.In graph theory, superparticular numbers (or rather, their reciprocals, 1/2, 2/3, 3/4, etc.) arise as the possible values of the upper density of an infinite graph.mehr

Produkt

KlappentextSuperparticular numbers were written about by Nicomachus in his treatise "Introduction to Arithmetic". They are useful in the study of harmony: many musical intervals can be expressed as a superparticular ratio. In this application, Størmer's theorem can be used to list all possible superparticular numbers for a given limit; that is, all ratios of this type in which both the numerator and denominator are smooth numbers.In graph theory, superparticular numbers (or rather, their reciprocals, 1/2, 2/3, 3/4, etc.) arise as the possible values of the upper density of an infinite graph.
Details
ISBN/GTIN978-613-9-15772-3
ProduktartBook on Demand
EinbandartKartoniert, Paperback
Erscheinungsjahr2011
AuflageAufl.
Seiten76 Seiten
SpracheEnglisch
Artikel-Nr.15272017