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The first complete running time analysis of a stochastic divide and conquer algorithm was given for Quicksort, a sorting algorithm invented 1961 by Hoare. We analyse here the variant Random Median Quicksort. The analysis includes the expectation, the asymptotic distribution, the moments and exponential moments. The asymptotic distribution is characterized… (More)

The measured concentration time curve of an injected substance is often used as a basis for calculating the distribution volume. For the first time, the present paper describes a generally applicable formula for calculating the asymptote of a concentration time curve in medical applications. With a knowledge of this formula, previously unexplained phenomena… (More)

The first attempt to model a process is often a deterministic setup with differential equations. The existing stochastic influence is suppressed and hopefully negligible. However, sometimes the stochastic component is important. We demonstrate and clarify this for a growth process. The deterministic approach is given by Yn + 1 = Yn + g(Yn) or dYt = g(Yt)dt,… (More)

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