Sentence examples for by using the order from inspiring English sources

By using the order statistics-based test CDF estimate defined in (5), the interpolation factor in (10) can be further simplified as (11).

In a similar fashion, by using the order statistics, we can derive the CDF and PDF of Bob's channel for SC case as F B SC ( γ B ) = ∑ n = 0 KL A L B KL A L B n ( - 1 ) n e - γ B n γ ̄ B, (12) f B SC ( γ B ) = KL A L B γ ̄ B ∑ n = 0 KL A L B - 1 KL A L B - 1 n ( - 1 ) n e - γ B n + 1 γ ̄ B. (13).

The contribution of immature ribosomes to our RP estimates can be further tested by using the order in which RPs are incorporated into the small subunits.

By applying some fixed point theorems in posets and by using the order-preserving property of mappings, we prove an existence theorem of extended Nash equilibriums for nonmonetized noncooperative games.

Third, I investigated the influence of these factors on the probability of smoking and of cigarette dependence by using the ordered probit model (structural equation) with a binomial probit model (selection equation).

The discussion of the results obtained by using the order-m methodology is summarized below.

Tests for trend were performed by using the ordered category, including the reference, as a continuous variable in the proportional hazard model.

The effects of the window width, the estimation errors, and the order mismatch by using the second order LPFT to process higher-order PPSs are discussed.

Table 1 shows the errors between the exact solution and the numerical solutions computed by using the first order and the second order of accuracy difference schemes (20) and (21), respectively.

Figure 4a shows the representation of the third order PPS obtained by using the second order LPFT without any overlap.

This process is done by using the Integer Order PI controller and Fractional Order PI controller with the high performance Repetitive Controller.