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So, the second term of the equation above inclines to zero as t → ∞.
The first term of Eq. (25) represents homogeneous solution of the system equation due to initial condition, and the second term of the equation represents particular solution due to imposed dynamic force.
A quick analysis of (d(t)) should be made: with high learning parameters, specially the neighborhood (sigma) value, (overline{lambda }(t)) is expected to be (thickapprox 1), which practically eliminates the second term of the equation.
In the case of most conventional NMR magnets, the field inhomogeneity is sufficiently small that at short τ values the second term of the equation becomes negligible even for faster diffusing molecules such as water.
The second term of the equation describes the probability of finding the correct code assignment for the extended ASCII character set.
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Hopping cost, the third term of the equation, can be expressed as a function of the reward.
The second term under the summation sign of this polynomial equation is attributable to linear effect, whereas the third term corresponds to the higher-order effects; the fourth term of the equation includes the interactive effects of the process parameters.
The first term of the equation takes into account packets that are filtered before they arrive to the destination (including node k).
It is usual to assume that there is no time-dependence, and thus, the first term of the equation can be ignored.
The first term of the equation is due to migration of the charged species which is caused by a potential gradient ΔΦ with associated charge number z i, concentration c i, and mobility u i.
It is described by the equation:
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