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1.

図書

図書
Hoon Hong, Dongming Wang (eds.)
出版情報: Berlin : Springer, c2006  x, 211 p. ; 24 cm
シリーズ名: Lecture notes in computer science ; 3763 . Lecture notes in artificial intelligence
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2.

電子ブック

EB
Hoon Hong, Association for Computing Machinery-Digital Library.
出版情報: ACM Digital Library Proceedings , ACM
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3.

電子ブック

EB
Hoon Hong, Association for Computing Machinery-Digital Library.
出版情報: ACM Digital Library Proceedings , ACM
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4.

電子ブック

EB
Hoon Hong, Takeo Kanade, Dongming Wang
出版情報: Springer eBooks Computer Science , Springer Berlin / Heidelberg, 2006
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5.

電子ブック

EB
Manuel Kauers, Hoon Hong, Peter Paule
出版情報: Springer eBooks Computer Science , Springer Vienna, 2011
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目次情報: 続きを見る
Introduction / 1:
Selection Sort and Quicksort / 1.1:
Recurrence Equations / 1.2:
Symbolic Sums / 1.3:
Generating Functions / 1.4:
Asymptotic Estimates / 1.5:
The Concrete Tetrahedron / 1.6:
Problems / 1.7:
Formal Power Series / 2:
Basic Facts and Definitions / 2.1:
Differentiation and Division / 2.2:
Sequences of Power Series / 2.3:
The Transfer Principle / 2.4:
Multivariate Power Series / 2.5:
Truncated Power Series / 2.6:
Polynomials / 2.7:
Polynomials as Power Series / 3.1:
Polynomials as Sequences / 3.2:
The Tetrahedron for Polynomials / 3.3:
Polynomials as Solutions / 3.4:
Polynomials as Coefficients / 3.5:
Applications / 3.6:
C-Finite Sequences / 3.7:
Fibonacci Numbers / 4.1:
Recurrences with Constant Coefficients / 4.2:
Closure Properties / 4.3:
The Tetrahedron for C-finite Sequences / 4.4:
Systems of C-finite Recurrences / 4.5:
Hypergeometric Series / 4.6:
The Binomial Theorem / 5.1:
The Tetrahedron for Hypergeometric Sequences / 5.2:
Indefinite Summation / 5.4:
Definite Summation / 5.5:
Algebraic Functions / 5.6:
Catalan Numbers / 6.1:
Puiseux Series and the Newton Polygon / 6.2:
The Tetrahedron for Algebraic Functions / 6.4:
Holonomic Sequences and Power Series / 6.6:
Harmonic Numbers / 7.1:
Equations with Polynomial Coefficients / 7.2:
Generalized Series Solutions / 7.3:
Closed Form Solutions / 7.4:
The Tetrahedron for Holonomic Functions / 7.5:
Appendix / 7.6:
Basic Notions and Notations / A.l:
Basic Facts from Computer Algebra / A.2:
A Collection of Formal Power Series Identities / A.3:
Closure Properties at One Glance / A.4:
Software / A.5:
Solutions to Selected Problems / A.6:
Bibliographic Remarks / A.7:
References
Subject Index
Introduction / 1:
Selection Sort and Quicksort / 1.1:
Recurrence Equations / 1.2:
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