Sentence examples for integrated implicitly from inspiring English sources

The constitutive equations are derived for three-dimensional statement and integrated implicitly by using return-mapping algorithm.

The coupled plastic-damage constitutive model is integrated with an implicit stress return algorithm for the plastic part, while the damage part can be integrated implicitly.

The resulting matrix has properties that allow the diagonal terms to be integrated implicitly and the off-diagonal terms to be integrated explicitly.

Coarticulation has been integrated implicitly by means of linguistic analysis and the use of diphones as a canonical unit of representation.

Lastdrager (2002) used a Rosenbrock method with approximate Jacobians for the same system so that effectively the field equations are integrated implicitly and the state equations explicitly, as with IMEX (IMplicit-EXplicit) methods (Hundsdorfer and Verwer, 2003).

The dynamics of Eq. 30 continue until the turning point of the Hill function, which occurs at A ≈ K A. Terming t K as the time when A = K A in this regime, Eq. 30 is integrated implicitly to yield (31) t (A ) = ∫ X A d A [ β X A n ] − 1 = [ β X (n − 1 ) ] − 1 [ X − n + 1 − A − n + 1 ], t K = [ B X (n − 1 ) ] − 1 [ X 1 − n − K A 1 − n ], A (t ) = [ X 1 − n − (n − 1 ) β X t ] 1 / (1 − n ).

The nonlinear advection terms are time-integrated explicitly, the pressure/enthalpy terms are integrated semi-implicitly, and the Coriolis force and buoyancy terms are treated semi-analytically.

The momentum equations are integrated semi-implicitly by the approximate factorization technique.

When a representation of action is integrated, state constraints implicitly define indirect effects of actions and impose further preconditions on the performance of actions.

A novel formation control algorithm suitable for both leaders and followers is designed, in which leaders are implicitly integrated into the swarm and can be influenced by navigational feedback from their flockmates.

Speed-up factors from 50 to 30,000 are achieved compared with the Strang splitting scheme with the chemistry substeps implicitly integrated with VODE, while speed-up factors of 10 100 are achieved compared with the Strang splitting scheme implemented with the sparse stiff LSODES solver.