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Coupons collecting with or without replacement, and with multipurpose coupons
multipurpose coupons Probability Discrete Mathematics
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2011/8/29
Abstract: The classic Coupons-Collector Problem (CCP) is generalized. Only basic probability theory is used. Centerpiece rather is an algorithm that efficiently counts all $k$-element transversals of ...
Urban chaos and replacement dynamics in nature and society
bifurcation chaos fractal dimension logistical map replacement dynamics Volterra-Lotka’s model urbanization
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2011/7/7
Many growing phenomena in both nature and society can be predicted with sigmoid function. The growth curve of the level of urbanization is a typical S-shaped one, and can be described by using logisti...
Roots of any Polynomial with Complex Integer Coefficients using Replacement Sequences, Ruler and Compass
Roots Polynomial Complex Integer Coefficients Replacement Sequences
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2010/11/1
The roots of any polynomial of degree m with complex integer coefficients can be computed by manipulation of sequences made from distinct symbols and counting the different symbols in the sequences. T...