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In contrast with the formulation based on particle displacements, this approach leads to integral representations that do not involve derivatives of the unknown fields, thus resulting in simplified and more stable numerics.
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In contrast with the "top-down" approach to development, the dominant methodology in Lebanon, I emphasize rather the "bottom-up" approach where all stakeholders have equal opportunities to participate in policy formulation and implementation.
This is in contrast with displacement-based finite element formulations that violate equilibrium between the section forces and the equivalent end forces computed for the moving load.
In Hamilton's formulation, the fundamental equations of motion are defined in terms of the total energy (kinetic plus potential energies) of a system, by contrast with the Newtonian formulation, which define them in terms of the sum of the total forces acting on the system.
In these formulations —and in contrast with viscoelasticity it is characteristic that the time-dependent strains are nonproportionally related to the stresses.
In contrast with currently used alum-based adjuvanted vaccine formulations, carbomer-based formulations are nontoxic in vitro and exhibit excellent biocompatibility and biodegradability (33, 34).
In contrast, the formulations without CDs produced a low emitted dose of sildenafil (<60%).
In contrast, the second formulation, based on a generalized strain measure defined with respect to the intermediate configuration, is shown to induce both isotropic and kinematic enhanced hardening.
In contrast with previous trials of B vitamins, the present trial used a lower dose and a more naturally occurring formulation of folic acid.
In contrast, the above formulation indeed presents exhaustive options.
In contrast, the MILP formulation avoids such a strong constraint.
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