Finite Versus Infinite

Contributions to an Eternal Dilemma

Authors:

ISBN: 978-1-85233-251-8 (Print) 978-1-4471-0751-4 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages i-x

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    Book Chapter

    Pages 1-16

    Smoothing Data: When Finite and Infinite Dimensional Help Each Other

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    Book Chapter

    Pages 17-26

    Rearrangements of Real Functions Derived from the Combinatorics of Young Tableaux

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    Book Chapter

    Pages 27-38

    A Possibilistic Distance for Sequences of Equal and Unequal Length

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    Book Chapter

    Pages 39-52

    Solving Problems with Finite Test Sets

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    Book Chapter

    Pages 53-73

    State Complexity of Regular Languages: Finite versus Infinite

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    Book Chapter

    Pages 75-100

    A Century of Controversy over the Foundations of Mathematics

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    Book Chapter

    Pages 101-117

    Finite Versus Infinite in Singularity Dynamics

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    Book Chapter

    Pages 119-126

    An Interesting Serendipitous Real Number

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    Book Chapter

    Pages 127-148

    Algebraic Representations of Regular Array Languages

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    Book Chapter

    Pages 149-173

    Rough Set Processing of Vague Information Using Fuzzy Similarity Relations

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    Book Chapter

    Pages 175-186

    Relativized Code Concepts and Multi-Tube DNA Dictionaries

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    Book Chapter

    Pages 187-198

    Uniformly Scattered Factors

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    Book Chapter

    Pages 199-215

    Splicing Normalization and Regularity

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    Book Chapter

    Pages 217-230

    Infinitely Many Infinities

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    Book Chapter

    Pages 231-237

    Finite and Infinite in Geography

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    Book Chapter

    Pages 239-245

    Ultrafilters, Dictators, and Gods

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    Book Chapter

    Pages 247-256

    On the Behaviour of Semiautomata

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    Book Chapter

    Pages 257-283

    Infinity — An Outline of Conceptions in Mythology, Cosmology and Natural Philosophy

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    Book Chapter

    Pages 285-299

    Finite Versus Infinite Neural Computation

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    Book Chapter

    Pages 301-322

    On Information-Theoretical Aspects of Relational Databases

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