The results of a screening model are always approximate, lying within an imprecision range.
are called the approximate Lie group, the approximate Lie algebra and the approximate Lie operator of equation (2), respectively.
In this case, the approximate Lie operator X 8 assumes the form X 8 = x ∂ ∂ x − ( w 0 + 2 x ) ∂ ∂ w 0 + s w 1 ∂ ∂ w 1 (46).
In this paper we work in the framework of the approximate method proposed in [12, 13], in which the expansions of the dependent variable are introduced also in the Lie group transformations so that one obtains an approximate Lie operator which permits to solve in hierarchy the invariance conditions starting from the classification of unperturbed equation (3).
Equating to zero the coefficients of zero and first degree powers of ε, we obtain an approximate Lie operator which permits to solve in hierarchy the invariance condition of the system (9 - 10) starting from the classification of unperturbed nonlinear wave equation (3).
"Splatter" was a horror genre that prided itself on elaborate, "realistic" special effects: arterial spray that approximated our lay idea of what arterial spray would look like; pulverized eyeballs that exploded more convincingly than the pulverized eyeballs in last year's midnight hit.
In this paper, we present a parabola approximation method based on the cubic reparameterization of rational Bézier surfaces, which generates G1 continuous approximate curves lying completely on the surfaces by using iso-parameter curves of the reparameterized surfaces.
In order to simplify the movement of medical manipulator, the PWS lesion is approximated to lie on a plane.
Using this algorithm, a deletion was identified on chr5 and was approximated to lie between bases 112,034,793 and 112,045,844, corroborating the finding presented here.
and we call the associate seven-dimensional Lie algebra the approximate principal Lie algebra of equation (2).
