메뉴 건너뛰기




Volumn , Issue , 2003, Pages 30-36

Better Simplification of Elementary Functions Through Power Series

Author keywords

Simplification Power Series

Indexed keywords

ALGORITHMS; FUNCTION EVALUATION; MATHEMATICAL TRANSFORMATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 1542270122     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/860854.860867     Document Type: Conference Paper
Times cited : (6)

References (20)
  • 2
    • 0001411871 scopus 로고
    • A Cluster-Based Cylindrical Algebraic Decomposition Algorithm
    • ARNON, D. A Cluster-Based Cylindrical Algebraic Decomposition Algorithm. J. Symbolic Comp. 5 (1988), 189-211. Also Algorithms in Real Algebraic Geometry (ed. D.S. Arnon and B. Buchberger), Academic Press, London, 1988.
    • (1988) J. Symbolic Comp. , vol.5 , pp. 189-211
    • Arnon, D.1
  • 3
    • 0001411871 scopus 로고
    • Academic Press, London
    • ARNON, D. A Cluster-Based Cylindrical Algebraic Decomposition Algorithm. J. Symbolic Comp. 5 (1988), 189-211. Also Algorithms in Real Algebraic Geometry (ed. D.S. Arnon and B. Buchberger), Academic Press, London, 1988.
    • (1988) Algorithms in Real Algebraic Geometry
    • Arnon, D.S.1    Buchberger, B.2
  • 4
    • 0021522643 scopus 로고
    • Cylindrical Algebraic Decomposition II: An Adjacency Algorithm for the Plane
    • ARNON, D., COLLINS, G. AND MCCALLUM, S. Cylindrical Algebraic Decomposition II: An Adjacency Algorithm for the Plane. SIAM J. Comp. 13 (1984), 878-889.
    • (1984) SIAM J. Comp. , vol.13 , pp. 878-889
    • Arnon, D.1    Collins, G.2    McCallum, S.3
  • 6
    • 0036042361 scopus 로고    scopus 로고
    • Towards Better Simplification of Elementary Functions
    • T. Mora, Ed., ACM, New York
    • BRADFORD, R., AND DAVENPORT, J. Towards Better Simplification of Elementary Functions. In Proceedings ISSAC 2002 (2002), T. Mora, Ed., ACM, New York, pp. 15-22.
    • (2002) Proceedings ISSAC 2002 , pp. 15-22
    • Bradford, R.1    Davenport, J.2
  • 7
    • 85029837057 scopus 로고
    • Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition
    • Proceedings 2nd. GI Conference Automata Theory & Formal Languages, Springer-Verlag
    • COLLINS, G. Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition. In Proceedings 2nd. GI Conference Automata Theory & Formal Languages (1975), vol. 33 of Springer Lecture Notes in Computer Science, Springer-Verlag, pp. 134-183.
    • (1975) Springer Lecture Notes in Computer Science , vol.33 , pp. 134-183
    • Collins, G.1
  • 10
    • 35248848037 scopus 로고    scopus 로고
    • Table Errata -Abramowitz & Stegun
    • To appear in
    • DAVENPORT, J. Table Errata -Abramowitz & Stegun. To appear in Math. Comp (2003).
    • (2003) Math. Comp
    • Davenport, J.1
  • 11
    • 80052987943 scopus 로고
    • Real Quantifier Elimination is Doubly Exponential
    • DAVENPORT, J., AND HEINTZ, J. Real Quantifier Elimination is Doubly Exponential. J. Symbolic Computation 5, (1988), 29-35.
    • (1988) J. Symbolic Computation , vol.5 , pp. 29-35
    • Davenport, J.1    Heintz, J.2
  • 12
    • 0005389882 scopus 로고    scopus 로고
    • Complexity of cylindrical decompositions of sub-Pfaffian sets
    • GABRIELOV, A., AND VOROBJOV, N. Complexity of cylindrical decompositions of sub-Pfaffian sets. J. Pure Appl. Algebra 164 (2001), 179-197.
    • (2001) J. Pure Appl. Algebra , vol.164 , pp. 179-197
    • Gabrielov, A.1    Vorobjov, N.2
  • 14
    • 33845447245 scopus 로고
    • Über die Eigenschaft der Gamma Funktion keineralgebraischen Differentialgleichungen zu genügen
    • HÖLDER, O. Über die Eigenschaft der Gamma Funktion keineralgebraischen Differentialgleichungen zu genügen. Math. Ann. 28 (1887), 1-13.
    • (1887) Math. Ann. , vol.28 , pp. 1-13
    • Hölder, O.1
  • 15
    • 0036042387 scopus 로고    scopus 로고
    • A new Zero-test for Formal Power Series
    • T. Mora, Ed., ACM, New York
    • VAN DER HOEVEN, J. A new Zero-test for Formal Power Series. In Proceedings ISS AC 2002 (2002), T. Mora, Ed., ACM, New York, pp. 117-122.
    • (2002) Proceedings ISS AC 2002 , pp. 117-122
    • Van Der Hoeven, J.1
  • 17
    • 0000546276 scopus 로고
    • Some Unsolvable Problems Involving Elementary Functions of a Real Variable
    • RICHARDSON, D. Some Unsolvable Problems Involving Elementary Functions of a Real Variable. Journal of Symbolic Logic 33 (1968), 514-520.
    • (1968) Journal of Symbolic Logic , vol.33 , pp. 514-520
    • Richardson, D.1
  • 19
    • 85009909862 scopus 로고    scopus 로고
    • An explicit formula for the Mahler measure of a family of 3-variable polynomials
    • To appear in
    • SMYTH, C. An explicit formula for the Mahler measure of a family of 3-variable polynomials. To appear in J. Théor. Nombres Bordeaux (2002).
    • (2002) J. Théor. Nombres Bordeaux
    • Smyth, C.1
  • 20
    • 0003033077 scopus 로고
    • An Assume Facility for CAS with a Sample Implementation for Maple
    • Proceedings DISCO '92, J. Fitch, Ed., Springer-Verlag
    • WEIBEL, T., AND GONNET, G. An Assume Facility for CAS with a Sample Implementation for Maple. In Proceedings DISCO '92 (1993), J. Fitch, Ed., vol. 721 of Springer Lecture Notes in Computer Science, Springer-Verlag PP. 95-103
    • (1993) Springer Lecture Notes in Computer Science , pp. 95-103
    • Weibel, T.1    Gonnet, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.