Sentence examples for as a determining equation from inspiring English sources

The important assertion (2) means that equation (3.15), usually referred to as a determining equation, allows one to track all the solutions of the periodic boundary value problem (1.3), (1.4).

The condition (5) can be viewed in two different ways: (1) This condition can be viewed as a determining equation for k u) and this of course implies that the coefficients of different derivatives of k u) as well as the free term in (5) should be functions of u only otherwise there exists a contradiction.

Of course, having poll voters as a determining factor brings personal bias into the equation.

Each method is a technique for solving delay differential equations (DDEs) as well as determining regions of stability in the DDE parameter space.

The results for the physicochemical properties summarized in Table5 were performed experimentally as well as determined using models and/or equations based on FAME profiles.

Thus, it is quite possible that, at the point r is observed, it will be bucketed using k-mer s r, but subsequently some other string s ′ r contained within the read will actually correspond to a better bucket as determined by Equation (1).

To estimate monthly minimum and maximum temperatures near the ground surface at a height of 0.05 m, we applied the following equation, a rearrangement of Equation 2: T 0.05 = T 0 - A ln z - d z H (3). where T 0.05) is the monthly estimate for either minimum or maximum surface temperature at z = 0.05 m, T0 is as determined from Equation 2, and A, d, and zH are as defined above (Equations 1 and 2).

Briefly, we determined the flexible information for the cooperative model as determined by equation (4) [10] [10], and ranked all genes in the genome based on the strength of the strongest site in the intergenic region immediately upstream of their starts.

To avoid communication collisions during the announcement period of THs, each TH announces its role after waiting the individual delay time, as determined by Equation (2): Δ t A = β × Δ d TH j → Dest t p Max ( { Δ d TH j → Dest t p }) × NumofTHs, j ∈ 0 ~ n, (2).

Because we consider an admixture process that is constant from one generation to the next and we assume h ≠ 0 and h ≠ 1, we can apply Theorem 3.1.2 of Cull et al. (2005) to Equation 29 to obtain the unique solution for E[ H1, g]: Figures 3 and 4 illustrate the expected admixture fraction as a function of g under constant admixture, as determined in Equation 30.

They construct a statistical model, known as a probit equation, to determine which factors make victory more likely.