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Volumn 42, Issue 5, 2005, Pages 1846-1861

On comparing the writhe of a smooth curve to the writhe of an inscribed polygon

Author keywords

Numerical quadrature; Writhing number

Indexed keywords

NUMERICAL QUADRATURE; WRITHING NUMBERS;

EID: 27744467911     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142902403164     Document Type: Article
Times cited : (9)

References (21)
  • 2
  • 3
    • 0001972054 scopus 로고
    • Self linking numbers of space polygons
    • T. BANCHOFF, Self linking numbers of space polygons, Indiana Univ. Math. J., 25 (1976), pp. 1171-1188.
    • (1976) Indiana Univ. Math. J. , vol.25 , pp. 1171-1188
    • Banchoff, T.1
  • 4
    • 0026263188 scopus 로고
    • Algorithm 698: DCUHRE: An adaptive multidimensional integration routine for a vector of integrals
    • J. BERNTSEN, T. O. ESPELID, AND A. GENZ, Algorithm 698: DCUHRE: An adaptive multidimensional integration routine for a vector of integrals, ACM Trans. Math. Software, 17 (1991), pp. 452-456.
    • (1991) ACM Trans. Math. Software , vol.17 , pp. 452-456
    • Berntsen, J.1    Espelid, T.O.2    Genz, A.3
  • 5
    • 0002979277 scopus 로고
    • L'intégrale de Gauss et l'analyse des nœuds tridimensionnels
    • G. CǍLUGǍREANU, L'intégrale de Gauss et l'analyse des nœuds tridimensionnels, Rev. Math. Pures Appl., 4 (1959), pp. 5-20.
    • (1959) Rev. Math. Pures Appl. , vol.4 , pp. 5-20
    • Cǎlugǎreanu, G.1
  • 6
    • 0001443491 scopus 로고
    • Sur les classes d'isotopie des nœuds tridimensionnels et leurs invariants
    • G. CǍLUGǍREANU, Sur les classes d'isotopie des nœuds tridimensionnels et leurs invariants, Czechoslovak Math. J., 11 (1961), pp. 588-625.
    • (1961) Czechoslovak Math. J. , vol.11 , pp. 588-625
    • Cǎlugǎreanu, G.1
  • 7
    • 0035981373 scopus 로고    scopus 로고
    • On the minimum ropelength of knots and links
    • J. CANTARELLA, R. B. KUSNER, AND J. M. SULLIVAN, On the minimum ropelength of knots and links Invent. Math., 150 (2002), pp. 257-286.
    • (2002) Invent. Math. , vol.150 , pp. 257-286
    • Cantarella, J.1    Kusner, R.B.2    Sullivan, J.M.3
  • 8
    • 0003123104 scopus 로고
    • Curves and surfaces in Euclidean space
    • S. S. Chern, ed., Math. Assoc. Amer.
    • S. S. CHERN, Curves and surfaces in Euclidean space, in Studies in Global Geometry and Analysis, S. S. Chern, ed., Math. Assoc. Amer., 1967, pp. 16-56.
    • (1967) Studies in Global Geometry and Analysis , pp. 16-56
    • Chern, S.S.1
  • 9
    • 0035644364 scopus 로고    scopus 로고
    • Computing the writhe of a knot
    • D. CIMASONI, Computing the writhe of a knot, J. Knot Theory Ramifications, 10 (2001), pp. 387-395.
    • (2001) J. Knot Theory Ramifications , vol.10 , pp. 387-395
    • Cimasoni, D.1
  • 10
    • 0032325789 scopus 로고    scopus 로고
    • Orbits of asteroids, a braid, and the first link invariant
    • M. EPPLE, Orbits of asteroids, a braid, and the first link invariant, Math. Intelligencer, 20 (1998), pp. 45-52.
    • (1998) Math. Intelligencer , vol.20 , pp. 45-52
    • Epple, M.1
  • 11
    • 0017886919 scopus 로고
    • Decomposition of the linking number of a closed ribbon: A problem from molecular biology
    • F. BROCK FULLER, Decomposition of the linking number of a closed ribbon: A problem from molecular biology, Proc. Natl. Acad. Sci. USA, 75 (1978), pp. 3557-3561.
    • (1978) Proc. Natl. Acad. Sci. USA , vol.75 , pp. 3557-3561
    • Fuller, F.B.1
  • 12
    • 0033608997 scopus 로고    scopus 로고
    • Global curvature, thickness, and the ideal shapes of knots
    • O. GONZALEZ AND J. H. MADDOCKS, Global curvature, thickness, and the ideal shapes of knots, Proc. Natl. Acad. Sci. USA, 96 (1999), pp. 4769-4773.
    • (1999) Proc. Natl. Acad. Sci. USA , vol.96 , pp. 4769-4773
    • Gonzalez, O.1    Maddocks, J.H.2
  • 13
    • 0034668195 scopus 로고    scopus 로고
    • Computation of writhe in modeling of supercoiled DNA
    • K. KLENIN AND J. LANGOWSKI, Computation of writhe in modeling of supercoiled DNA, Biopolymers, 54 (2000), pp. 307-317.
    • (2000) Biopolymers , vol.54 , pp. 307-317
    • Klenin, K.1    Langowski, J.2
  • 15
    • 0001288787 scopus 로고
    • The self-linking number of a closed space curve
    • W. F. POHL, The self-linking number of a closed space curve, J. Math. Mech., 17 (1967/1968), pp. 975-985.
    • (1967) J. Math. Mech. , vol.17 , pp. 975-985
    • Pohl, W.F.1
  • 16
    • 0037422619 scopus 로고    scopus 로고
    • Automatic classification of protein structure by using Gauss integrals
    • P. ROGEN AND B. FAIN, Automatic classification of protein structure by using Gauss integrals, Proc. Natl. Acad. Sci. USA, 100 (2003), pp. 119-124.
    • (2003) Proc. Natl. Acad. Sci. USA , vol.100 , pp. 119-124
    • Rogen, P.1    Fain, B.2
  • 18
    • 0030550186 scopus 로고    scopus 로고
    • Tantrices of spherical curves
    • B. SOLOMON, Tantrices of spherical curves, Amer. Math. Monthly, 103 (1996), pp. 30-39.
    • (1996) Amer. Math. Monthly , vol.103 , pp. 30-39
    • Solomon, B.1
  • 19
    • 0013166073 scopus 로고    scopus 로고
    • Lifting the curtain: Using topology to probe the hidden action of enzymes
    • D. W. SUMNERS, Lifting the curtain: Using topology to probe the hidden action of enzymes, Match, 34 (1996), pp. 51-76.
    • (1996) Match , vol.34 , pp. 51-76
    • Sumners, D.W.1
  • 21
    • 0000751914 scopus 로고
    • Self-linking and the Gauss integral in higher dimensions
    • J. WHITE, Self-linking and the Gauss integral in higher dimensions, Amer. J. Math., 91 (1969), pp. 693-728.
    • (1969) Amer. J. Math. , vol.91 , pp. 693-728
    • White, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.