意味 |
highly composite numberとは 意味・読み方・使い方
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意味・対訳 高度合成数(こうどごうせいすう、英: highly composite number)とは、自然数で、それ未満のどの自然数よりも約数の個数が多いものをいう。
Wiktionary英語版での「highly composite number」の意味 |
highly composite number
語源
Coined by Indian mathematician Srinivasa Ramanujan in 1915, although it has been suggested that Plato may have known of the concept, since he specified 5040 (a highly composite number) as the ideal number of citizens in a city.
名詞
highly composite number (複数形 highly composite numbers)
- Used other than with a figurative or idiomatic meaning: see highly, composite number; A positive integer that has a relatively large number of divisors.
- 1995, Bengt Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge University Press, 1998, Paperback Edition, page 176,
- This factorization becomes particularly simple and economical when N is a highly composite number, in particular a power of 2.
- 2004, Roger G. Jackson, Novel Sensors and Sensing, Institute of Physics Publishing, page 275,
- 2010, Kenneth Lange, Numerical Analysis for Statisticians, Springer, 2nd Edition, page 395,
- 1995, Bengt Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge University Press, 1998, Paperback Edition, page 176,
- (number theory) A positive integer that has more divisors than any smaller positive integer.
- 2012, George E. Andrews, Bruce C. Berndt, Ramanujan's Lost Notebook, Part III, Springer, page 359,
- 1998, K. Srinivasa Rao, Srinivasa Ramanujan: A Mathematical Genius, East West Books, page 48,
- 2013, M. Ram Murty, V. Kumar Murty, The Mathematical Legacy of Srinivasa Ramanujan, Springer, page 144,
- 2013, Robert Kanigel, The Man Who Knew Infinity, Simon & Schuster, page 232,
- A highly composite number, then, was in Hardy's phrase "as unlike a prime as a number can be." Ramanujan had explored their properties for some time; in the earliest pages of his second notebook he'd listed about a hundred highly composite numbers−the first few are 2, 4, 6, 12, 24, 36, 48, 60, 120−searching for patterns. He found them.
上位語
- (positive integer with more divisors than any smaller positive integer): composite number, largely composite number
下位語
Further reading
- Divisor function on Wikipedia.
- Highly totient number on Wikipedia.
- Superior highly composite number on Wikipedia.
- Divisor Function on Wolfram MathWorld
- Highly Composite Number on Wolfram MathWorld
- An Algorithm for Computing Highly Composite Numbers on the Wayback Machine
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