单词 | Farey Sequence | ||||||||||||||||||||||||||||
释义 | Farey SequenceThe Farey sequence
Except for ![]() ![]() ![]() ![]() ![]()
The number of terms
![]() ![]() ![]() ![]()
![]() ![]() ![]() ![]() ![]() Ford Circles provide a method of visualizing the Farey sequence. The Farey sequence
Beiler, A. H. ``Farey Tails.'' Ch. 16 in Recreations in the Theory of Numbers: The Queen of Mathematics Entertains. New York: Dover, 1966. Conway, J. H. and Guy, R. K. ``Farey Fractions and Ford Circles.'' The Book of Numbers. New York: Springer-Verlag, pp. 152-154 and 156, 1996. Dickson, L. E. History of the Theory of Numbers, Vol. 1: Divisibility and Primality. New York: Chelsea, pp. 155-158, 1952. Farey, J. ``On a Curious Property of Vulgar Fractions.'' London, Edinburgh and Dublin Phil. Mag. 47, 385, 1816. Graham, R. L.; Knuth, D. E.; and Patashnik, O. Concrete Mathematics: A Foundation for Computer Science, 2nd ed. Reading, MA: Addison-Wesley, pp. 118-119, 1994. Guy, R. K. ``Mahler's Generalization of Farey Series.'' §F27 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 263-265, 1994. Hardy, G. H. and Wright, E. M. An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, 1979. Sloane, N. J. A. SequencesA005728/M0661,A006842/M0041, andA006843/M0081in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995. Sylvester, J. J. ``On the Number of Fractions Contained in Any Farey Series of Which the Limiting Number is Given.'' London, Edinburgh and Dublin Phil. Mag. (5th Series) 15, 251, 1883. Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 155, 1991.
|
||||||||||||||||||||||||||||
随便看 |
|
数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。