Sentence examples for steps by solving from inspiring English sources

Deriving an explicit rate expression for a sequence with three or more steps by solving the quasi-steady-state (QSS) equations, however, is tedious, or infeasible, and the resulting expressions are often unwieldy and difficult to interpret.

Size optimization of discrete domains is done in the second step by solving minimization problem with a Genetic Algorithm.

The vertical displacement at each boundary must be calculated at each time-step by solving the equations expressing the dynamic boundary conditions.

The acoustic radiation of the aerodynamic sources is calculated in a second step by solving an appropriate system of acoustic equations.

We illustrate our proposed methodology step by step by solving an example of supplier development.

We illustrate our proposed methodology step by step by solving an example of supplier development: Step 1. Information about company requirements and characteristics of the suppliers to satisfy these requirements are collected.

By fixing X k + 1, we reconstruct B and F in S-step by solving the following problem: underset{mathbf{B},mathbf{F}}{min}gamma {leftVert mathbf{B}rightVert}_+eta {leftVert mathbf{F}rightVert}_1mathrm{s}.mathrm{t}.kern0.24em {mathbf{X}}^{k+1}=mathbf{B}+mathbf{F} (19).

At the kth iterate, we compute a trial step by solving the following quadratic problem, begin{aligned} &Q(x_{k},H_{k},rho_{k} mbox quad min g_{k}^{T}d+frac{1}{2}d^{T}H_{k}d &hphantom{Q(x_{k},H_{k},rho_{k} mboxquad}quad text{s.t.

Here the lower level description of gene activation is determined at each upper-level time step by solving the system of ODEs and the cell differentiation is executed at the upper level on the basis of the information coming from the gene expression levels.

In the E step, the posterior probability with which a subject i with a specific triploid genotype has a configuration j is calculated using (9) In the M step, by solving the loglikelihood equations, the parameters are estimated with the calculated posterior probabilities, i.e., (10 1112) (12) (13) A loop of the E and M steps is iterated between equations (9) and (10), (11), (12) and (13).

The seismic wave propagation at each grid point is calculated explicitly with increasing time steps and by solving the equation of motions using an eighth-order staggered-grid FDM in the horizontal directions and a fourth-order staggered-grid FDM in the vertical direction, where the smaller (0.25 km) grid is applied.