Sentence examples for use the initial value from inspiring English sources

Therefore, we consider it reasonable to use the initial value E(t_{0})=frac{1}{mu}frac{phi }{mu +theta }S(t_{0}).

If the maximum amplitude A determined by DFT and the frequency f and initial phase ϕ are used as initial values (A0,0, f0,0, ϕ0,0), then the initial values can be given inside the trough containing the minimum of cost function in Figure 3. Therefore, in order to obtain an accurate spectrum, we use the initial value (A0,0, f0,0, ϕ0,0), which is converged using the nonlinear equation process.

However, as a systematic way to initialize the observer we suggest to use the initial values (hat{S}_{0} = N_{0} - I_{0}= 665) and (hat{E}_{0} = hat{R}_{0} = 0).

The governing differential equations are solved exactly by using the initial value method.

The solution is obtained exactly by using the initial value method.

The governing differential equations for out-of-plane vibration of uniform circular beams are solved exactly by using the initial value method.

Moreover, it takes less time to achieve fairness by using the initial value α 0=0.45 derived from (17) as compared to the time required when α 0=0.

In order to compute the search direction, a preconditioned conjugate gradient method is adopted to compute the Newton system Then, we can obtain a feasible point by using the initial value and the search direction.

In addition, we investigated the effect of a longer follow-up period (i.e., until all women have died), a higher sensitivity (using the initial value for the threshold diameter) and full compliance (i.e., 100% attendance rates) on the predicted RR.

In Fig. 1, we compare the error propagation for a Lagrange interpolation, a discontinuous Galerkin method, and the Fourier approximation using the initial value (4) u (0, x ) = 1 2 + cos π x on the interval [ − 1, 1 ] with periodic boundary conditions (the same interval and periodic boundary conditions are used for all simulations in this paper).

In the meanwhile, the transient time function is constructed using the initial values of the output and their derivatives through the homogeneous technique.