Sentence examples for be solved explicitly by from inspiring English sources

This issue may be solved explicitly by employing FG models, as done in [101].

We consider separately the case of post-stack migration and show that the kinematic equations in this case can be solved explicitly by converting them to ordinary differential equations using the method of characteristics.

Because the values and respective probabilities of X max ( 2 ) are known, q can be solved explicitly by finding the least positive root of the generating function: f ( q ) = p 0 + p n q n.

In this scheme, Carathéodory defined the approximate solution via a delay equation, and the delay equation can be solved explicitly by successive integrations over intervals of length (frac{1}{n}).

The integral (3.7) can be solved explicitly by calculating the residues at the poles − A k. First note that we can write, for any value of s, ( λ + A s ) g = f s A s + ( λ + A s ) g s , (3.9).

Remark 2 For given ξ, the second-stage problem can be solved explicitly: by (16) and (17), in village j, vehicle k can deliver a maximal amount of min ∑ i ∈ V ξ i w i ψ (d ij ) y ij, γ j z jk.

The problem is modeled as a two-dimensional Markov chain, and it is solved explicitly by using matrix geometric techniques.

The DEM equations are solved explicitly by a centred finite-difference scheme, and a time step of Δ t = 0.004 ms is required owing to the relatively stiff contact springs.

The differential equations described by eq 47 can be solved explicitly for the transport through one bilayer, providing the chemicals bind neither to the interfaces nor to proteins (b ijk = 0) and do not ionize (d ij = p ijk = 0).

In many applications, the results governed by the fractional differential equations cannot be solved explicitly.

Since a lumped mass matrix is used for the manifold element, the accelerations by the corresponding physical covers can be solved explicitly without forming a global stiffness matrix.