Sentence examples for by utilizing the initial from inspiring English sources

By utilizing the initial values, the condition for SOF control problems can be solved by an improved path-following method.

The coordinate of the N measurement points can be computed by utilizing the initial coordinate and mobile trajectory during BS motion.

By substituting (19) into (7) and utilizing the initial quiescent weights w pre, the adaptive weights of the auxiliary array can be obtained which may achieve the goal to eliminate the SVI cancellation.

The present model simplifies the complete conservation equations governing the IFR system by utilizing the assumptions that the initial IFR coating layer (virgin plus melt) is thermally thin and its expanding char layer, which includes also the vapor and the foam, has negligible volumetric heat capacity.

By utilizing the BP particles at the initial condition, the results of UO2 and ROX fuels showed that maximum keff was decreased from 1.423 to 1.068 and from 1.357 to 1.033, respectively.

They established several results concerning the global existence, uniqueness and finite time blow-up of weak solutions with negative initial energy by utilizing the Galerkin and the concavity method.

Third, we consider "ideal" initial conditions by utilizing the eigenvectors obtained at a nearby value of P 2, here P 2 = − 0.053361   GeV 2, as F → in.

For conjugate gradient methods, it is important to make an initial guess of the step-length by utilizing the current iterative information about the problem.

The governing equations, initial conditions and boundary conditions are derived by utilizing the Hamilton's principle.

First, we obtain the rough contour of the femoral head by utilizing the constraints of the great trochanter and the shape of femoral head in the initial slice.

They are not always doing this by utilizing the endless array of well-intentioned not-for-profit outreach programs.