Sentence examples for is formulated below from inspiring English sources

The objective function is formulated below.

The optimization problem is formulated below.

The corresponding decision list coloring problem is formulated below.

On the basis of the above consideration, Model-2 is formulated below.

The order decision under case B(I) is formulated below X_{text{B(I)}}^{text{WHP}} = left{ {begin{array}{*{20}l} D hfill & {{text{for }}p > w} hfill 0 hfill & {text{else}} hfill end{array} } right.

Hence, as the order decision under case B II) includes the solution of case B(I), the overall order decision under the WHP contract is formulated below X^{text{WHP}} = left{ {begin{array}{ll} {X_{text{B II)}}^{text{WHP}} } hfill & {{text{for }}p > w} hfill 0 hfill & {text{else}} hfill end{array} } right.

A second query can be formulated below the first one.

The conditions defining these states for each locus l are formulated below: (1) and denote the ploidy of the B allele in each cell type: mutated cells and normal cells, respectively.

The aggregation is formulated as below: D i j = ( 1 / m ) ⊗ ( D i j 1 ⊕ D i j 2 ⊕ … ⊕ D i j m ), t = 1, 2, …, k (1 where, ⊗ is the multiplication of fuzzy numbers, ⊕ is the add operation of fuzzy numbers, and D ij is the overall average weighting valuation of alternative i under criterion j over m assessors.

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.

Below, it is formulated in a concomitant reference frame moving on the bore hole surface constraining the DS transformation.