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Mach's proposal, then, was that rotation simply be defined as rotation with respect to the bulk mass of the universe and that motion in general simply be defined as motion with respect to the bulk mass of the universe.
The system is assumed to be governed by a non-linear equation of motion in general form, in which the restoring force and the dissipative terms are given by arbitrary power functions.
These equations are, in this work, devised by the waveguide finite element method, which is a versatile tool for describing wave motion in general structures that have uniform properties along one direction.
Motion in general plays a significant role in Kepler's philosophy of light.
The main problems encountered with motion capture data are its high dimensionality, the choice of the parameterization, and the variability associated with motion in general.
Equations (2), (3a) and (4) realize the state space representation of rigid body motion in general 3D which includes 13 state variables in total for general 3D motion.
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Finally, we remark that the imaginative handling of a prisoner's first motion would in general do much to anticipate and avoid the problem of a hearing on a second or successive motion.
As the theory advanced, the relation of equidecomposability to various motions such as translations, central symmetry, and, indeed, to groups of motions in general, was explored.
Larger response quantities (i.e., displacements, forces) were observed with larger levels of ground motions in general.
Furthermore, the time required to complete the analysis of a highly nonlinear model can be reduced by up to 70%. (2) Larger response quantities (i.e., displacements, forces) were observed with larger levels of ground motions in general.
So, if the energy is accurate, then the stationary or equilibrium geometry is also accurate, providing excellent potential energy surfaces (PES) for frequency calculation toward excellent prediction of thermodynamic behavior, i.e., to excellently describe molecular motions in general, the ultimate goal in quantum or computation chemistry.
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