Analytic methods give powerful tools for obtaining asymptotic estimates in combinatorial enumeration. When they can be used, they usually provide extremely precise results. However, there are also many situations where they do not apply, and one has to use elementary or probabilistic reasoning. Prob
โฆ LIBER โฆ
On an asymptotic method in enumeration
โ Scribed by A Meir; J.W Moon
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 676 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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A general aqmptotic method based on the work of Krylov-Bogoliubov is developed to obtain the response of nonlinear over damped system. A second-order system with both roots real is treated first and the method is then extended to higher-order systems. ## Two illustrative examples show good agreem