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Matters Computational

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Cover of 'Matters Computational'

Table of Contents

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    Book Overview
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    Chapter 1 Bit wizardry
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    Chapter 2 Permutations and their operations
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    Chapter 3 Sorting and searching
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    Chapter 4 Data structures
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    Chapter 5 Conventions and considerations
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    Chapter 6 Combinations
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    Chapter 7 Compositions
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    Chapter 8 Subsets
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    Chapter 9 Mixed radix numbers
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    Chapter 10 Permutations
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    Chapter 11 Permutations with special properties
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    Chapter 12 k-permutations
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    Chapter 13 Multisets
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    Chapter 14 Gray codes for strings with restrictions
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    Chapter 15 Parentheses strings
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    Chapter 16 Integer partitions
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    Chapter 17 Set partitions
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    Chapter 18 Necklaces and Lyndon words
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    Chapter 19 Hadamard and conference matrices
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    Chapter 20 Searching paths in directed graphs
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    Chapter 21 The Fourier transform
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    Chapter 22 Convolution correlation and more FFT algorithms
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    Chapter 23 The Walsh transform and its relatives
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    Chapter 24 The Haar transform
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    Chapter 25 The Hartley transform
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    Chapter 26 Number theoretic transforms (NTTs)
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    Chapter 27 Fast wavelet transforms
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    Chapter 28 Fast multiplication and exponentiation
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    Chapter 29 Root extraction
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    Chapter 30 Iterations for the inversion of a function
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    Chapter 31 The AGM, elliptic integrals, and algorithms for computing π
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    Chapter 32 Logarithm and exponential function
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    Chapter 33 Computing the elementary functions with limited resources
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    Chapter 34 Numerical evaluation of power series
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    Chapter 35 Recurrences and Chebyshev polynomials
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    Chapter 36 Hypergeometric series
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    Chapter 37 Cyclotomic polynomials product forms and continued fractions
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    Chapter 38 Synthetic Iterations ‡
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    Chapter 39 Modular arithmetic and some number theory
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    Chapter 40 Binary polynomials
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    Chapter 41 Shift registers
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    Chapter 42 Binary finite fields: GF(2 n )
Attention for Chapter 7: Compositions
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Citations

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Chapter title
Compositions
Chapter number 7
Book title
Matters Computational
Published by
Springer, Berlin, Heidelberg, January 2011
DOI 10.1007/978-3-642-14764-7_7
Book ISBNs
978-3-64-214763-0, 978-3-64-214764-7
Authors

Jörg Arndt, Arndt, Jörg