Two distinctive formulations of the optimization problem are considered depending on the finite element discretization implemented for simulating the structural elements.
In Jefferson's truly distinctive and original formulation, the coherence of the American republic did not require the mechanisms of a powerful state to survive or flourish.
It can be seen that the difference between two formulations is distinctive as the parameter α1 increases to unity.
(On ersatzism, see Lewis (1986: 136 142), Divers (2002: 167 292), and Sider (2002).) Despite this, competing ersatzist views can employ their own distinctive resources to provide formulations of haecceitism.
Formulation ingredients influenced each response differently; and therefore, each method can only reveal distinctive characteristics of the SEDDS formulation and may not be used interchangeably.
These systems are based mainly on three distinctive but related approaches: liposomal formulations, nanoparticles, and micellar formulations.
As is well known, one of the distinctive features of the IMC formulation is the possibility to distinguish between the nominal and uncertain situations.
The distinctive features of the proposed PMS formulation include: jobs with variable weights, variable machine setup time, constraint capacity of drilling pads (where machines are allocated), and modified tardiness criterion.
Moreover, although the methodology manual suggests differently, goal formulation was not a distinctive phase of prototyping on commercial farms, so cross-pollination with farm system modelling could not occur (lead 1).
It is necessary here to mention only the three distinctive Roman Catholic doctrines that achieved definitive formulation during the 19th and 20th centuries: the infallibility of the pope, the immaculate conception, and bodily assumption of the Virgin Mary.
But Moore's formulation was in one respect distinctive.
