메뉴 건너뛰기




Volumn 76, Issue 3, 2011, Pages 160-180

On Euclid's algorithm and elementary number theory

Author keywords

Algorithm derivation; Calculational method; Eisenstein array; EisensteinStern tree (aka CalkinWilf tree); Enumeration algorithm; Euclid's algorithm; Greatest common divisor; Invariant; Number theory; Rational number; SternBrocot tree

Indexed keywords

ALGORITHM DERIVATION; CALCULATIONAL METHOD; CALKIN-WILF TREE; EISENSTEIN ARRAY; ENUMERATION ALGORITHMS; EUCLID'S ALGORITHM; GREATEST COMMON DIVISORS; INVARIANT; RATIONAL NUMBERS; STERN-BROCOT TREE;

EID: 78751569989     PISSN: 01676423     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.scico.2010.05.006     Document Type: Conference Paper
Times cited : (17)

References (20)
  • 1
    • 0003294665 scopus 로고    scopus 로고
    • The Art of Computer Programming
    • 3rd ed. Addison-Wesley Longman Publishing Co., Inc. Boston, MA, USA
    • D.E. Knuth The Art of Computer Programming 3rd ed. Seminumerical Algorithms vol. 2 1997 Addison-Wesley Longman Publishing Co., Inc. Boston, MA, USA
    • (1997) Seminumerical Algorithms , vol.2
    • Knuth, D.E.1
  • 4
    • 0016543936 scopus 로고
    • Guarded commands, nondeterminacy and formal derivation of programs
    • E.W. Dijkstra Guarded commands, nondeterminacy and formal derivation of programs Communications of the ACM 18 8 1975 453 457
    • (1975) Communications of the ACM , vol.18 , Issue.8 , pp. 453-457
    • Dijkstra, E.W.1
  • 6
    • 0003635545 scopus 로고    scopus 로고
    • 6th ed. McGraw-Hill Higher Education
    • D.M. Burton Elementary Number Theory 6th ed. 2005 McGraw-Hill Higher Education URL http://www.worldcat.org/isbn/0071244255
    • (2005) Elementary Number Theory
    • Burton, D.M.1
  • 8
    • 4243112667 scopus 로고
    • On the Shape of Mathematical Arguments
    • Springer-Verlag
    • A. van Gasteren On the Shape of Mathematical Arguments LNCS vol. 445 1990 Springer-Verlag
    • (1990) LNCS , vol.445
    • Van Gasteren, A.1
  • 16
    • 48949093581 scopus 로고    scopus 로고
    • Recounting the rationals: Twice!
    • Mathematics of Program Construction
    • R. Backhouse, and J.F. Ferreira Recounting the rationals: twice! Mathematics of Program Construction LNCS vol. 5133 2008 79 91 10.1007/978-3-540-70594-96 URL http://joaoff.com/publications/2008/rationals
    • (2008) LNCS , vol.5133 , pp. 79-91
    • Backhouse, R.1    Ferreira, J.F.2
  • 17
    • 0003169361 scopus 로고
    • Calcul des rouages par approximation, nouvelle mthode
    • via
    • A. Brocot Calcul des rouages par approximation, nouvelle mthode Revue Chronomtrique 3 1861 186 194 Available via http://joaoff.com/publications/2008/ rationals/
    • (1861) Revue Chronomtrique , vol.3 , pp. 186-194
    • Brocot, A.1
  • 18
    • 0041160910 scopus 로고    scopus 로고
    • On the teeth of wheels
    • B. Hayes On the teeth of wheels American Scientist 88 4 2000 296 300 URL http://www.americanscientist.org/issues/pub/2000/4/on-the-teeth-of-wheels
    • (2000) American Scientist , vol.88 , Issue.4 , pp. 296-300
    • Hayes, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.