Micromagnetics can deal with static equilibria, by minimizing the magnetic energy, and with dynamic behavior, by solving the time-dependent dynamical equation.
12.
It is often useful to think about the positions and velocities to be, in principle, independent objects and then add in dynamical equations that describe their mutual evolution.
13.
In the table below, several second-order wave properties as well as the dynamical equations they satisfy in case of slowly varying conditions in space and time are given.
14.
In this way, the mean ( or long-term ) behavior of the system is retained in the form of the dynamical equation for the evolution for x ^ { a }.
15.
The significant advantage of the variational approaches is that the meteorological fields satisfy the dynamical equations of the NWP model and at the same time they minimize the functional, characterizing their difference from observations.
16.
Symmetry seems to be the only thing I can claim, but obviously more is needed to set up a system of dynamical equations . Preceding talk ) 01 : 10, 7 February 2010 ( UTC)
17.
Naghdi was able to show that inertia, momentum, and angular momentum could be ascribed to the additional fields in such a way that a set of general dynamical equations for the deformations of shells could be obtained.
18.
Another difference with Feynman is that, while the trajectories do the job of evolving the quantum system in time, the initial wavefunction is integral to the trajectory dynamical equations, as it provides the initial density and the initial velocity.
19.
The "'Lorenz attractor "', introduced by Edward Lorenz in 1963, is a non-linear three-dimensional deterministic dynamical system derived from the simplified equations of convection rolls arising in the dynamical equations of the chaotic behavior and displays what is today called a strange attractor; this was proven by W . Tucker in 2001.
20.
:" Mechanics " is most often used to describe A body of physical knowlege, so we have classical mechanics ( often simply called mechanics ), quantum mechanics, statistical mechanics . . . Dynamics is used to describe the part of that body of knowlege that tells us how things change or evolve over time, so the dynamical equation of classical mechanics is Newton's second law, the dynamical equation of quantum mechanics is the Schroedinger's equation, the dynamical equations of electromagnetism are the Maxwell equations.
