Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Regular_number> ?p ?o. }
Showing items 1 to 31 of
31
with 100 items per page.
- 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 reciprocals3600.html.
- Regular_number wikiPageExternalLink Hamming_numbers.
- Regular_number wikiPageExternalLink EWD792.PDF.
- Regular_number wikiPageExternalLink thesis_asmussen.pdf.
- Regular_number wikiPageID "5941535".
- Regular_number wikiPageRevisionID "590253702".
- Regular_number hasPhotoCollection Regular_number.
- Regular_number subject Category:Babylonian_mathematics.
- Regular_number subject Category:Functional_programming.
- Regular_number subject Category:Integer_sequences.
- Regular_number subject Category:Mathematics_of_music.
- Regular_number type Abstraction100002137.
- Regular_number type Arrangement107938773.
- Regular_number type Group100031264.
- Regular_number type IntegerSequences.
- Regular_number type Ordering108456993.
- Regular_number type Sequence108459252.
- Regular_number type Series108457976.
- Regular_number comment "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.".
- Regular_number label "Regular number".
- Regular_number label "正规数 (整数)".
- Regular_number sameAs m.0ffplw.
- Regular_number sameAs Q1826416.
- Regular_number sameAs Q1826416.
- Regular_number sameAs Regular_number.
- Regular_number wasDerivedFrom Regular_number?oldid=590253702.
- Regular_number depiction Regular_divisibility_lattice.svg.
- Regular_number isPrimaryTopicOf Regular_number.
