Molecular dynamics studies the temporal evolution of the coordinates and the momenta (the state) of a given macromolecular structure.
Similar to sequence 1, the time evolution of the x coordinate of (P_b) is again chosen to be a 7th order polynomial.
To reduce the jerk caused by the inertia of the heavy power shovel, a 7th order polynomial is used for the time evolution of the x coordinate of (P_b).
As an illustrative example of the performance of the backward orbit integrator is shown in Fig. 2. The evolution of the radial coordinate at the mid plane (v ∥ positive, outer zero crossing of the orbit) of a closed collision less orbit is plotted vs. time.
Adaptive evolution of protein-coding genes, although undoubtedly a much slower process, is nonetheless a component of the overall differentiation of even such closely related species and may at least partly proceed through the coordinated evolution of biochemical categories of genes.
The approach results in a set of ordinary differential equations that govern the evolution of the generalized coordinates.
The evolution of the curvilinear coordinates associated with the active subspace is described by non-stiff DEs, whereas that associated with the slow and fast subspaces is accounted for by applying algebraic corrections derived from asymptotics of the original problem.
Understand the axes of the coordinate plane.
The emergence of multicellular animals from unicellular ancestors over 600 million years ago required the evolution of mechanisms for coordinating cell division, growth, specialization, adhesion, and death.
Since the coordinate evolution of new characters is best attained when the same set of genes is redeployed, Wilda and co-workers suggested that new characters in the brain, testis and placenta are most responsible for human speciation [ 128].
The electron proton wave functions (ϕ n χ n p) can, in principle, be obtained by applying the BO approximation to separate the Schrödinger equations for the { q, R} and Q coordinates, without invoking a further BO approximation to describe the evolution of the q and R coordinates.
