Indicating the lag in response by the time dependence of " ? r ", calculated in principle from an underlying microscopic analysis, for example, of the dipole behavior in the dielectric.
42.
A fourteen-parameter Helmert transform, with linear time dependence for each parameter, can be used to capture the time evolution of geographic coordinates dues to geomorphic processes, such as continental drift . and earthquakes.
43.
A different form of time dependence can arise in a time-invariant medium, as there can be a time delay between the imposition of the electric field and the resulting polarization of the material.
44.
While working in the frequency domain, with an assumed e j?t ( engineering ) time dependence, coherent ( laser ) light is implicitly assumed, which has a delta function dependence in the frequency domain.
45.
There is no need for higher order derivatives in the equation, nor for time dependence in " v " ( " x " ) because these can be eliminated by considering systems of higher dimensions.
46.
As each component of the metric has space and time dependence in general; this is significantly more complicated than the formula quoted at the beginning, see metric tensor ( general relativity ) for more information.
47.
If we now seek solutions for the modal displacements in x and y with time dependence e ^ { i \ omega t } \, we find a much more complex equation for \ omega \:
48.
To remove the time dependence from the problem, the wave function is transformed according to \ psi \ rightarrow e ^ {-i \ sigma _ z \ omega _ r t / 2 } \ psi.
49.
Examination of a whitlockite crystal within a lunar rock specimen brought over from the Apollo 14 mission established proportions of Pu / U fission tracks consistent with the ( Pu / U ) 0 time dependence.
50.
There is also an understood time dependence e ^ { i \ omega t } multiplying such phasor quantities; the actual field at a point in time and space is given by the real part of that complex quantity.
