Elements of the Theory of Markov Processes and Their ApplicationsGraduate-level text and reference in probability, with numerous scientific applications. Nonmeasure-theoretic introduction to theory of Markov processes and to mathematical models based on the theory. Appendixes. Bibliographies. 1960 edition. |
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Page 253
... density functions of degree 1 are the same as the equations obtained by Landau and Rumer for Approximation A and by ... density functions of degree 2 for electrons and photons as well as the mixed - product density of electrons and ...
... density functions of degree 1 are the same as the equations obtained by Landau and Rumer for Approximation A and by ... density functions of degree 2 for electrons and photons as well as the mixed - product density of electrons and ...
Page 286
... density we have a new equation : Eo H ̧ ‚ ‚ ( E ̧‚E ̧‚É‚ ̧¡1‚12 = [ " ƒ¡ , ( E ̧‚E ' : { 2 } R ( E ' — E „ , E ... density functions of degrees 1 and 2 , as well as the equations for the mixed product density , have been solved by ...
... density we have a new equation : Eo H ̧ ‚ ‚ ( E ̧‚E ̧‚É‚ ̧¡1‚12 = [ " ƒ¡ , ( E ̧‚E ' : { 2 } R ( E ' — E „ , E ... density functions of degrees 1 and 2 , as well as the equations for the mixed product density , have been solved by ...
Page 339
... Density Field . In the fifth paper of their series , Chandrasekar and Münch introduced the concept of a fluctuating density field . That is , the assumption that the interstellar matter occurs in the form of discrete clouds was replaced ...
... Density Field . In the fifth paper of their series , Chandrasekar and Münch introduced the concept of a fluctuating density field . That is , the assumption that the interstellar matter occurs in the form of discrete clouds was replaced ...
Other editions - View all
Elements of the Theory of Markov Processes and Their Applications A. T. Bharucha-Reid Limited preview - 2012 |
Elements of the Theory of Markov Processes and Their Applications Albert T. Bharucha-Reid Limited preview - 1997 |
Common terms and phrases
absorber Acad applications assume assumptions asymptotic birth process birth-and-death process boundary branching processes cascade process cascade theory coefficients collision consider counter defined denote the number denote the probability derive deterministic differential equation diffusion equations diffusion processes distribution function E₁ electron-photon cascades epidemic expression Feller finite fluctuation problem functional equation given Hence initial condition integral equation interval 0,t ionization Jánossy Kolmogorov equations Laplace transform Let the random machine Markov chain Markov processes Math mathematical matrix Mellin transform Messel method Monte Carlo methods neutron nucleon nucleon cascades number of individuals o(At obtain P₁ photon Phys Poisson process population probability distribution Proc queueing process queueing system r₁ r₂ radiation Ramakrishnan random variable random variable X(t recurrent satisfies Statist stochastic model Stochastic Processes t₁ t₂ Takács Theorem tion transition probabilities X₁ zero дх