Sentence examples for for two approximations from inspiring English sources

By searching for the smallest difference between the exact probability values and those obtained from approximated functions with different q, the optimal values of q for two approximations were achieved which are 0.27 and 3.91 respectively in this particular case.

The results of QM/MM MD umbrella sampling applied to reaction coordinates driving the Michael reaction are presented for two approximations of the Michael reaction: a concerted reaction (simultaneous thiolate attack onto the acrylamide warhead and pronation from the adjacent HIS335) and a two-stage reaction (consecutive thiolate attack and protonation).

In Figure 1, assuming a small true CFO of δ = 0.18 with a 30-dB signal-to-noise ratio (SNR), we present the learning curves of the MSE of the interim CFO estimator (i.e., Var δ ^ i vs. i) for three approximation orders K = 1, 2, and 4. Note that no Gram-Schmidt QR transformation is executed for the first-order algorithm.

Figure 6 Comparison of two approximations for symmetric case.

Figure 8 Comparison of two approximations for the case that relay is located close to the destination.

Figure 7 Comparison of two approximations for the case that relay is located close to the source.

Model results have been compared to analytical solutions, obtained from linear mountain wave theory for the two approximations of (a) neutral flow and (b) stratified flow with atmospheric conditions leading to hydrostatic waves production.

In this paper, we propose a collection of twelve approximations for the 8-point DCT based on integer functions.

He used two approximations for π, the traditional Jain value of √10 as well as 22/7.

Two approximations for Grüneisen parameter γ, i.e. Slater's and Dugdale and MacDonald's expressions were adopted.

The complex scheme considered is: For the exponential case two approximations have been considered: [1] in which the higher order terms are included, and [2] in which the higher order terms are neglected.