Sentence examples for by solving the set from inspiring English sources
Results are obtained by solving the set of governing equations using suitable numerical methods.
The corresponding filter parameters can be obtained by solving the set of LMIs, which can be easily facilitated by using some standard numerical packages.
In this work, we extend this result for the case of a thick-disk sample by solving the set of differential equations governing the thermoelastic response for the finite radius configuration.
The solution of the transient heat conduction problem of the rotors, which is subject to a periodic convective boundary condition and five steady boundary conditions, is obtained by solving the set of Helmholtz equations derived from the partial differential equations for transient heat conduction without internal heat.
The fabrication tolerances are determined by the intersection domain of each lens parameters obtained by solving the set of non-linear equations, with a condition that one solution should come from a strict set on boundaries of the non-linear equation system.
By solving the set of equations, all the nine bits can be recovered.
The vector c then can be learned through "training" with the set {(xi, di }, for instance by solving the following set of equations for c: [ X T X+ γ I | V| ] c=X T d, (1).
The level set function is evolved by solving the level set advection equation using a discontinuous Galerkin finite element method.
The level set function is evolved by solving the level set advection equation using a second-order characteristic based finite volume method.
Tracking a single level set variable is implemented by solving the level set equation with interface velocity computed from an extended Stefan equation using the marker information (crystal orientation).
This represents an extension of the method recently proposed by Owkes and Desjardins [21], by solving the level set equations on the refined level set grid [9] and projecting all spatially-dependent variables into the full basis used by the discontinuous Galerkin discretization.
