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This book deals with analytic treatments of Markov processes. Symmetric Dirichlet forms and their associated Markov processes are important and powerful tools in the theory of Markov processes and their applications. The theory is well studied and used in various fields. In this monograph, we intend to generalize the theory to non-symmetric and time dependent semi-Dirichlet forms. By this generalization, we can cover the wide class of Markov processes and analytic theory which do not possess the dual Markov processes. In particular, under the semi-Dirichlet form setting, the stochastic calculus is not well established yet. In this monograph, we intend to give an introduction to such calculus. Furthermore, basic examples different from the symmetric cases are given. The text is written for graduate students, but also researchers.
Markov processes. --- Dirichlet forms. --- Forms, Dirichlet --- Forms (Mathematics) --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Denumerable Structures. --- Diffusion Processes. --- Dirichlet Spaces. --- Probabilistic Potential Theory. --- Second-order Parabolic Equations.
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For all being interested in astronautics, this translation of Hermann Oberth's classic work is a truly historic event. Readers will be impressed with this extraordinary pioneer and his incredible achievement. In a relatively short work of 1923, Hermann Oberth laid down the mathematical laws governing rocketry and spaceflight, and he offered practical design considerations based on those laws.
Interplanetary voyages. --- Rockets (Aeronautics). --- Space flight. --- Space flight --- Rockets (Aeronautics) --- Mechanical Engineering --- Engineering & Applied Sciences --- Aeronautics Engineering & Astronautics --- Aerial rockets --- Flying-machines --- High-speed aeronautics --- Projectiles --- Rocketry --- Interplanetary voyages --- Jet propulsion --- Rocket engines --- Rocket flight --- Space travel --- Spaceflight --- Aeronautics --- Astrodynamics --- Astronautics --- Navigation (Astronautics) --- Flights --- Markov processes. --- Dirichlet forms. --- Forms, Dirichlet --- Forms (Mathematics) --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Dirichlet Forms. --- Markov Processes. --- Probability Theory. --- Semigroups. --- Stochastic Processes. --- Rocketry. --- hydrogen-fueled rocket. --- oxygen-alcohol rockets. --- spaceflight.
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