Sentence examples for formulated as shown from inspiring English sources

Two different types of inks were formulated as shown in Table 1.

After the rewritten demand expression is inserted, the periodic process cash flows can be formulated as shown in Eq. (17).

Based on these analyses, a provisional system network can be formulated, as shown in Fig. 1 below.

Because discharge is highly correlated with drainage area, as shown by Hack (1957) for mean annual discharge and Leopold and Miller (1956), and Gray and Wigham (1970), a law of discharge can be formulated as shown by Singh (1992).

Then, using (B(M,a {p^{s}_{i}})), an equation for the maximum average channel load was formulated as shown in Equation 6. Lleft(M,underline{mathbf{p}}^{s},a right) = displaystylemax_{i=leftlbrace1,2,cdots,N rightrbrace} sum_{r=1}^{M} r cdot B(M,a{p_{i}^{s}})~.

Combining with the estimated angle pair, a small sample database with nine sample vectors can be formulated as shown in Figure 5, where the similarities between measured phase difference vector and the vectors in small sample database are denoted as s i, i = 0, 1, …, 8.

Hence, in order to determine a sole flux vector, a linear optimization problem to maximize a cellular objective such as the growth rate (represented by the objective weight vector, c) in the presence of bound constraints on the fluxes (v) is formulated as show below.

These were formulated as concretely as possible.

But these formulations have some drawbacks, which can be overcome by formulating microsponges as shown in Table 1.

When the object starts to move again, it will be formulated as a foreground as shown in the last row of Fig. 5. Benefiting from the power of sparse representation, the simple update rule in Eq. (13) can obtain a proper background model for foreground detection.

The algorithm for finding all ARGs from IRGs formulated as a recursive MILP as shown in Figure  4.