may be very general, but in this paper we used the weights as a linear function of the characteristics from Brandt et al.
In this subsection, we will consider a parametrization
in the log-odds scale, with an unbounded prior support, for illustrating how to calculate the norm complexity described in Remarks 8, 9, and 10.
Let S be a parametric surface on a pseudo null curve [alpha] = [alpha](s) in the 3-dimensional Minkowski space with parametrization
The successful parametrization
of [k.sup.HG] and [k.sub.4] implies that the complete LHGu equation was composed of (3), (8), and (9).
We now define a (rational) parametrization
of the space of labellings f [member of] [K.sup.[??]] satisfying f(0) = f(1) = 1 by certain matrices:
makes the interpretation of the skewness parameter [gamma] simpler and, in addition, the fitting procedure becomes faster.
Among the topics are evaluating the greenness of synthesis, developing and applying isocyanide-based multicoponent reactions, synthesis without protecting groups, synthesis assisted by electricity, and parametrization
and tracking of optimization of synthesis strategy using computer spreadsheet algorithms.
Consistency conditions [5, 8, 10, 11] limit the choice of integration nodes to cases where the number of unknowns, involving the parametrization
of the nodes and the integration weights, equals the number of equations.
The Clebsch parametrization
consists of the following very general representation of arbitrary vector fields with three scalars in the form
Napier EHRm will lower Total Cost of Ownership (TCO) due to parametrization
, modularity and flexibility in adapting process changes with ease.
Thus, the parametrization
of the ruled surface is given by [phi](t; v) = [alpha](t) + vX(t) where [alpha] and X are the base curve and unit vector in the direction of the rulings of the ruled surface, respectively.
Stability of Si-nanotubular structures has been studied by generalized TB-MM method  and by semiempirical HF-SCF MNDO method with PM3 parametrization