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Examples of Inequalities and Estimates

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Advanced Combinatorics
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Abstract

In the preceding chapters we have established explicit formulas for counting sets. The sets we wanted to count were of the following type: a finite set N with n elements is given, and then we studied sets of combinatorial objects bound to N that satisfied some additional conditions. If these conditions are not simple, then the explicit formula is usually not simple either, difficult to obtain, and little efficient. It can often be replaced advantageously by upper and lower bounds. Evidently, the closer these bounds fit, the better.

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© 1974 D. Reidel Publishing Company, Dordrecht, Holland

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Comtet, L. (1974). Examples of Inequalities and Estimates. In: Advanced Combinatorics. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2196-8_7

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  • DOI: https://doi.org/10.1007/978-94-010-2196-8_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2198-2

  • Online ISBN: 978-94-010-2196-8

  • eBook Packages: Springer Book Archive

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