Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Regular_number> ?p ?o }
- Regular_number abstract "Regular numbers are numbers that evenly divide powers of 60 (or powers of 30). As an example, 602 = 3600 = 48 × 75, so both 48 and 75 are divisors of a power of 60. Thus, they are regular numbers. Equivalently, they are the numbers whose only prime divisors are 2, 3, and 5.The numbers that evenly divide the powers of 60 arise in several areas of mathematics and its applications, and have different names coming from these different areas of study. In number theory, these numbers are called 5-smooth, because they can be characterized as having only 2, 3, or 5 as prime factors. This is a specific case of the more general k-smooth numbers, i.e., a set of numbers that have no prime factor greater than k. In the study of Babylonian mathematics, the divisors of powers of 60 are called regular numbers or regular sexagesimal numbers, and are of great importance due to the sexagesimal number system used by the Babylonians. In music theory, regular numbers occur in the ratios of tones in five-limit just intonation. In computer science, regular numbers are often called Hamming numbers, after Richard Hamming, who proposed the problem of finding computer algorithms for generating these numbers in order.↑".
- Regular_number thumbnail Regular_divisibility_lattice.svg?width=300.
- Regular_number wikiPageExternalLink 95519.html.
- Regular_number wikiPageExternalLink Dijkstra%20on%20Hammings%20Problem.pdf.
- Regular_number wikiPageExternalLink EWD792.PDF.
- Regular_number wikiPageExternalLink thesis_asmussen.pdf.
- Regular_number wikiPageExternalLink reciprocals3600.html.
- Regular_number wikiPageExternalLink Hamming_numbers.
- Regular_number wikiPageID "5941535".
- Regular_number wikiPageLength "19937".
- Regular_number wikiPageOutDegree "72".
- Regular_number wikiPageRevisionID "674483817".
- Regular_number wikiPageWikiLink Algorithm.
- Regular_number wikiPageWikiLink American_Mathematical_Monthly.
- Regular_number wikiPageWikiLink Babylonian_mathematics.
- Regular_number wikiPageWikiLink Big_O_notation.
- Regular_number wikiPageWikiLink Category:Babylonian_mathematics.
- Regular_number wikiPageWikiLink Category:Functional_programming.
- Regular_number wikiPageWikiLink Category:Integer_sequences.
- Regular_number wikiPageWikiLink Category:Mathematics_of_music.
- Regular_number wikiPageWikiLink Clay_tablet.
- Regular_number wikiPageWikiLink Computer_science.
- Regular_number wikiPageWikiLink Consonance_and_dissonance.
- Regular_number wikiPageWikiLink Cuneiform.
- Regular_number wikiPageWikiLink Cuneiform_script.
- Regular_number wikiPageWikiLink Diatonic_scale.
- Regular_number wikiPageWikiLink Edsger_Dijkstra.
- Regular_number wikiPageWikiLink Edsger_W._Dijkstra.
- Regular_number wikiPageWikiLink Equal_temperament.
- Regular_number wikiPageWikiLink Euler.
- Regular_number wikiPageWikiLink Fast_Fourier_transform.
- Regular_number wikiPageWikiLink Five-limit_tuning.
- Regular_number wikiPageWikiLink Functional_programming.
- Regular_number wikiPageWikiLink Functional_programming_language.
- Regular_number wikiPageWikiLink Fundamental_frequency.
- Regular_number wikiPageWikiLink G._H._Hardy.
- Regular_number wikiPageWikiLink Generator_(computer_programming).
- Regular_number wikiPageWikiLink Harmonic.
- Regular_number wikiPageWikiLink Imperative_programming.
- Regular_number wikiPageWikiLink Imperative_programming_language.
- Regular_number wikiPageWikiLink Integer.
- Regular_number wikiPageWikiLink Interval_(music).
- Regular_number wikiPageWikiLink Just_chromatic_semitone.
- Regular_number wikiPageWikiLink Just_diatonic_semitone.
- Regular_number wikiPageWikiLink Just_intonation.
- Regular_number wikiPageWikiLink Just_major_third.
- Regular_number wikiPageWikiLink Just_major_tone.
- Regular_number wikiPageWikiLink Just_minor_third.
- Regular_number wikiPageWikiLink Just_minor_tone.
- Regular_number wikiPageWikiLink Lazy_evaluation.
- Regular_number wikiPageWikiLink Leonhard_Euler.
- Regular_number wikiPageWikiLink Limit_(music).
- Regular_number wikiPageWikiLink Major_second.
- Regular_number wikiPageWikiLink Major_third.
- Regular_number wikiPageWikiLink Merge_algorithm.
- Regular_number wikiPageWikiLink Minor_third.
- Regular_number wikiPageWikiLink Multiplicative_inverse.
- Regular_number wikiPageWikiLink Music_theory.
- Regular_number wikiPageWikiLink Number_theory.
- Regular_number wikiPageWikiLink Octave.
- Regular_number wikiPageWikiLink Otto_E._Neugebauer.
- Regular_number wikiPageWikiLink Perfect_fifth.
- Regular_number wikiPageWikiLink Perfect_fourth.
- Regular_number wikiPageWikiLink Pitch_(music).
- Regular_number wikiPageWikiLink Plato.
- Regular_number wikiPageWikiLink Plimpton_322.
- Regular_number wikiPageWikiLink Prime_factor.
- Regular_number wikiPageWikiLink Pythagorean_triple.
- Regular_number wikiPageWikiLink Python_(programming_language).
- Regular_number wikiPageWikiLink Regular_grid.
- Regular_number wikiPageWikiLink Richard_Hamming.
- Regular_number wikiPageWikiLink Seleucid.
- Regular_number wikiPageWikiLink Seleucid_Empire.
- Regular_number wikiPageWikiLink Semitone.
- Regular_number wikiPageWikiLink Sexagesimal.
- Regular_number wikiPageWikiLink Signal_(electrical_engineering).
- Regular_number wikiPageWikiLink Smooth_number.
- Regular_number wikiPageWikiLink Srinivasa_Ramanujan.
- Regular_number wikiPageWikiLink Superparticular_number.
- Regular_number wikiPageWikiLink Superparticular_ratio.
- Regular_number wikiPageWikiLink Syntonic_comma.
- Regular_number wikiPageWikiLink Tetrahedron.
- Regular_number wikiPageWikiLink The_Republic_(Plato).
- Regular_number wikiPageWikiLink Tonnetz.
- Regular_number wikiPageWikiLink Unimodular_lattice.
- Regular_number wikiPageWikiLink Volume.
- Regular_number wikiPageWikiLink File:Regular_divisibility_lattice.svg.
- Regular_number wikiPageWikiLinkText "5-smooth".
- Regular_number wikiPageWikiLinkText "Regular number".
- Regular_number wikiPageWikiLinkText "regular number".
- Regular_number wikiPageWikiLinkText "regular".
- Regular_number wikiPageWikiLinkText "the powers of 2, 3, and 5".
- Regular_number wikiPageWikiLinkText "{2,3,5}-smooth numbers".
- Regular_number hasPhotoCollection Regular_number.
- Regular_number wikiPageUsesTemplate Template:Citation.
- Regular_number wikiPageUsesTemplate Template:Cite_arxiv.
- Regular_number wikiPageUsesTemplate Template:Classes_of_natural_numbers.
- Regular_number wikiPageUsesTemplate Template:Distinguish.
- Regular_number wikiPageUsesTemplate Template:Divisor_classes.
- Regular_number wikiPageUsesTemplate Template:Harvs.