Sentence examples for by their initial values from inspiring English sources

Since magnetic geodesics are uniquely determined by their initial values, (tilde {gamma }) and (hat {gamma }) coincide on their common domain of definition.

Again, since magnetic geodesics are uniquely determined by their initial values, the intermediate value theorem gives us the following method for finding closed magnetic geodesics, which was employed to produce the numerical examples of closed magnetic geodesics found in the figures in this paper: Let n=2.

The proportion of the living population in the states Normal, Undiagnosed, and Diagnosed are determined by their initial values and the rates λ ℓ, μ k, ℓ=0,1, k=0,1,2.

After we introduced the genetic effect, estimates of other variables did not vary by >25% of their initial values (Table 8).

To obtain results for different values of SNRs, we consider different shifted sets of SNRs where γ 1 ij and γ 2 ij are shifted by Δ γ around their initial values γ 1, 0 ij = − 15 dB and γ 2, 0 ij = − 10 dB as γ 1 ij = γ 1, 0 ij + Δγ and γ 2 ij = γ 2, 0 ij + Δγ.

They adjust the well values away from their initial values by approximately the amount assigned to the Noise definition's mean change value, with the exact amount of adjustment being randomly chosen from a Gaussian distribution centered on the mean change value and with the specified standard deviation (SD) value.

Factorial methods were used to determine the relative effect of varying the properties by ±10% of their initial value.

The Fibonacci sequence has been generalized in many ways, for example, by changing the initial values, by changing the recurrence relation, and so on.

The results of emulation show that by using the initial values yielded by the method of patched conical curves, only 6 9 orbit integral iterations are needed to get a standard trajectory.

In addition, an oscillation effect caused by the initial values was weakened by using improved estimates of the initial values.

Initialize the EM algorithm by choosing initial values of θ ( 0 ).