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absorption coefficient Accept analytic approximate assume asymptotic behavior Bellman betting Bohnenblust bounded variation branching processes characteristic functions characteristic root choose components consider constant converges with probability cross section defined determined differential equation distribution electron elements employment contract exists fact folding follows gamma rays given Hence initial object integral interval Laplace transform Lemma limiting Markov processes mathematical matrix max V(t maximize mean free path method mixed strategy monotone mutant nonnegative number of objects object of age object of type obtained photon player problem proof pure strategies radiation raise random variable result sales contract satisfies scattering sequence sign test significance level bounds simple solution space Suppose symmetric symmetric game Tauberian tests of Table Theorem theory Total Absorption Coefficient totalitarian transmitted energy intensity U(t+s V(t+s vector system vhere