EAN: 9783642111549

Bilder-Quelle: discount24.de - Sport-Freizeit

One of the charms of mathematics is the contrast between its generality and its applicability to concrete even everyday problems. Branching processes are typical in this. Their niche of mathematics is the abstract pattern of reproduction sets of individuals changing size and composition through their members reproducing in other words what Plato might have called the pure idea behind demography population biology cell kinetics molecular replication or nuclear ?ssion had he known these scienti?c ?elds. Even in the performance of algorithms for sorting and classi?cation there is an inkling of the same pattern. In special cases general properties of the abstract ideal then interact with the physical or biological or whatever properties at hand. But the population or bran- ing pattern is strong it tends to dominate and here lies the reason for the extreme usefulness of branching processes in diverse applications. Branching is a clean and beautiful mathematical pattern with an intellectually challenging intrinsic structure and it pervades the phenomena it underlies.

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