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The equations of motion, which you will find in my book.
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equations of motion
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The equations of motion, which you will find in my book.
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From the above, any equation of motion in classical mechanics can be derived.
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The Atwood machine is sometimes used to illustrate the Lagrangian method of deriving equations of motion.
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Savvy selection of coordinate frame may make defining the vectors simpler when writing the equations of motion.
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This equation of motion employs the Einstein notation, meaning that repeated indices are summed (i.e. from zero to three).
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If the Lagrangian is invariant under a symmetry, then the resulting equations of motion are also invariant under that symmetry.
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Furthermore, the equations of motion describe a process that is inherently serial, so there is little to be gained from using massively parallel computers.
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In 1788, Joseph Louis Lagrange presented Lagrange's equations of motion in Mécanique Analytique, in which the whole of mechanics was organized around the principle of virtual work.
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Causality is not inherently implied in equations of motion, but postulated as an additional constraint that needs to be satisfied (i.e. a cause always precedes its effect).
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Generalized coordinates are usually selected to provide the minimum number of independent coordinates that define the configuration of a system, which simplifies the formulation of Lagrange's equations of motion.
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In spontaneous symmetry breaking, the equations of motion of the system are invariant, but the system is not because the background (spacetime) of the system, its vacuum, is non-invariant.
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As its name suggests, it was a sketch of a theory, less elegant and more difficult than general relativity, with the equations of motion supplemented by additional gauge fixing conditions.
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Physical laws and equations of motions, which govern the planetary boundary layer dynamics and microphysics, are strongly non-linear and considerably influenced by properties of the Earth's surface and evolution of the processes in the free atmosphere.
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Although there may be many choices for generalized coordinates for a physical system, parameters which are convenient are usually selected for the specification of the configuration of the system and which make the solution of its equations of motion easier.
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In 1954, 1975, and 1978 Swedish astrophysicist Hannes Alfvén included electromagnetic effects in equations of particle motions, and angular momentum distribution and compositional differences were explained.
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But now the analogy is deeper and mathematically and physically supported: it comes from the suggestion that chaotic planetary orbits on very long time scales have preferred sizes, the roots of which go to fractal space-time and generalized Newtonian equation of motion which assumes the form of the quantum Schrödinger equation.
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The Navier–Stokes equations describe the motion of fluids, and are one of the pillars of fluid mechanics.
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Because much of the insight of physics is described by differential equations relating matter, space, and time (for example Newton's law of motion and the Maxwell equations of electromagnetism), students have to be familiar with differential equations.
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The quantity on the left-hand-side of this equation is the acceleration of a particle, and so this equation is analogous to Newton's laws of motion which likewise provide formulae for the acceleration of a particle.
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Later Leonhard Euler derived a set of equations that described the dynamics of rigid bodies in torque-free motion.
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Adding equations (1) and (2) results in an equation describing the center of mass (barycenter) motion.
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To derive Schrödinger's equation, Nottale started with Newton's second law of motion, and used the result of the key theorem.
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A further step can consist of solving the Schrödinger equation with the total molecular Hamiltonian in order to study the motion of molecules.
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Dynamic pressure is in fact one of the terms of Bernoulli's equation, which can be derived from the conservation of energy for a fluid in motion.
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Vortex rings were first mathematically analyzed by the German physicist Hermann von Helmholtz, in his 1858 paper On Integrals of the Hydrodynamical Equations which Express Vortex-motion.
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34 sinne gevind in 8 ms. Hulle kom uit baie bronne en word nie nagegaan nie.