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To address this computational challenge, significant innovations will be implemented, including the use of novel erosion laws, the insertion of spatial curvature and metric directly into the equations of motion of the fluid, and special methods to handle the singular behaviour at kinks and constrictions.
] in Equation (45) one can determine the Poisson bracket and write further the equations of motion of microscopic particles in the form of Hamilton's equations.
9780120885718 Environmental fluid dynamics; flow processes, scaling, equations of motion, and solutions to environmental flows.
As part of their year 12 studies the boys were in the process of studying the equations of motion and knowledge of these was necessary to solve this problem.
Therefore, equations of motion were firstly determined for a nano-switch by using mechanical, electrical, and physical data.
They then explore the problem of quantizing systems with first and second class constraints, addressing purely second class systems which allow an operator quantization based on equations of motion formulated using the notion of an extended Hamiltonian, quantization of second class systems using functional methods, and the functional quantization of first class systems in dynamical gauges.
By running the equations of motion backwards, however, we can see where they came from, which led to the Big Bang theory of the start of the Universe.
It should be kept in mind that these forces do not appear in equations of motion if they are written in an inertial frame, even if the motion of the body itself is accelerated.