This makes a physically consistent classical continuum model formulation very challenging.
The irreversible electric field has only theoretical meaning, but it makes the formulation very suitable for a finite element implementation, where displacements and the electric potential are the nodal degrees of freedom.
where − L 0 is the Vandermonde (we put a minus sign in order to have a formulation very close to 1) matrix associated to P and ( L 1 ) k, l = 1, …, d s = ( δ k = d s, l = 1 L 1 ) k, l = 1, …, d s, I ext = [ 0, …, I ext ], S V V ) = [ S ( V ( t ) ), …, S V V ( d s ) ) ].
("Greene," Ardizzone explains in one of the book's many tiresome formulations, "is very close to Greener").
All three formulations contained very small concentrations (0.01 wt%) of metal compounds.
These two theories apply to significantly different types of two-dimensional bodies; however, their formulations yield very similar field equations.
While these two theories apply to significantly different types of two-dimensional bodies, their formulations yield very similar field equations.
In food applications, β-carotene formulations are very attractive because they add value to the product due to their antioxidant and pro-vitamin activities.
Moreover, the two extrudate formulations performed very similarly when only considering dissolution testing from just before pH adjustment through the duration of testing at neutral pH.
These relationships were used to predict the mechanical properties of several propellant formulations, with very good agreement between observed and predicted properties.
