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Chapter 26 Combinatorial Analysis

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Notes:
Comprehensive references include Graham et al. (1995) and Rosen et al. (2000). Most of this chapter is treated in detail in Comtet (1974), Riordan (1958), and Stanley (1997, 1999).
Referenced by:
David M. Bressoud, § ‣ § Software Cross Index
Permalink:
http://dlmf.nist.gov/26
D. M. Bressoud
Macalester College, Saint Paul, Minnesota.
   
  • Notation
    • 26.1 Special Notation
  • Properties
    • 26.2 Basic Definitions
    • 26.3 Lattice Paths: Binomial Coefficients
    • 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
    • 26.5 Lattice Paths: Catalan Numbers
    • 26.6 Other Lattice Path Numbers
    • 26.7 Set Partitions: Bell Numbers
    • 26.8 Set Partitions: Stirling Numbers
    • 26.9 Integer Partitions: Restricted Number and Part Size
    • 26.10 Integer Partitions: Other Restrictions
    • 26.11 Integer Partitions: Compositions
    • 26.12 Plane Partitions
    • 26.13 Permutations: Cycle Notation
    • 26.14 Permutations: Order Notation
    • 26.15 Permutations: Matrix Notation
    • 26.16 Multiset Permutations
    • 26.17 The Twelvefold Way
    • 26.18 Counting Techniques
  • Applications
    • 26.19 Mathematical Applications
    • 26.20 Physical Applications
  • Computation
    • 26.21 Tables
    • 26.22 Software
© 2010–2012 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.5; Release date 2012-10-01. A Printed Companion is available. ⇐ 25.21 Software26.1 Special Notation ⇒