Sentence examples for be derived explicitly for from inspiring English sources
The set of conditions for the coefficients of these LC-RK-schemes could be derived explicitly for arbitrary order N. From an efficiency viewpoint the LC-RK 3rd order methods in combination with upwind 3rd or 5th order or the LC-RK 4th order scheme with 4th order centered difference advection are a good choice.
In this paper, the harmonic functions of Laplace's equations are derived explicitly for the Dirichlet and the Neumann boundary conditions on the boundary of a sector.
The derivatives of the analytical dynamic stiffness matrix with respect to different loading and geometric parameters are derived explicitly for sensitivity and continuation analyses.
The optimization process of the rate one MRP is simple and easily visualized so that the optimal rotation angle can be derived explicitly, or even intuitively for some cases.
In such a model, the maximum likelihood estimator cannot be derived explicitly.
However, for the system with 5 variables or more, B becomes complex but can be derived explicitly.
The fundamental solutions required for DDM are derived explicitly by using the electroelastic field equations and Fourier integral transforms.
For some special cases, surface wave velocities are derived explicitly.
For a special example, the closed form solutions for electro-elastic fields in matrix and inhomogeneity regions are derived explicitly when interface containing single rigid line.
Moreover, the response of the closed-loop control system is derived explicitly in frequency domain.
Moreover, the solution to the resulting closed-loop system is derived explicitly.
