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Titlebook: Mathematics in Computing; An Accessible Guide Gerard O’Regan Textbook 20131st edition Springer-Verlag London 2013 Calculus.Coding Theory.C

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Gerard O’Reganiltonian system preserves volumes in phase space. Dissipative systems, by contrast, usually give rise to solution flows which contract volumes in phase space. Though this volume contraction is a local property in phase space, it produces global effects by giving rise to a bounded set in the phase sp
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Gerard O’Regan. A popular version of the LDs consists in computing the arc length of trajectories over a calibrated time window. Herein we introduce and exploit an intrinsic geometrical parametrisation of LDs, free of the time variable, for 1 degree-of-freedom Hamiltonian systems. The parametrisation depends sole
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Gerard O’Regan to eliminate second-order derivatives in the polarization, but we keep the second-order derivatives in the electric field. This model governs a two-level laser in a ring cavity. For some class of lasers, this system of equations has two separated time scales and forms a singularly perturbed, hyperb
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Mathematics in Civilization,of high-tech computers, mobile phones, text messaging, the Internet and the World Wide Web. Software is now pervasive, and it is an integral part of automobiles, airplanes, televisions and mobile communication. The pace of change as a result of all this new technology has been extraordinary. Today,
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