Sentence examples for the initial solution in from inspiring English sources

The updated solution differs from the initial solution in several key ways.

The initial solution in our 2D simulations was constructed via interpolation of the converged 1D solution onto the 2D cylindrical grid.

This is not surprising since the hill climbing method is highly dependent on the initial solution (in this case, a spanning tree chosen randomly based on the connectivity matrix) and the search space is simply too large to exhaustively search for the a good initial solution.

The use of CNP guarantees high degree of homogeneity in component distribution both in the initial solution and in the product formed during oxidation, which stimulates effective interaction between them with formation of ferrites with homogeneous structure and composition.

Considering both Case 1 and Case 2, we conclude that the solution of model (3) remains in (mathbb{R}^{2}_) if the initial solution starts in this region.

In the first method the metal precursor was introduced into the initial solution while in the impregnated samples the metal was spread over the carrier surface.

The initial solution consists in sub-band allocation c and power assignment p. These are updated by local search and returned by the algorithm as the output.

The initial solution used in the experiments was controlled at pH 4.9 and 400 mmol/kg of ΣCO2 (=CO2 (aq) + HCO3 − + CO3 2−) by the addition of NaHCO3, NaCl, and HCl to ultrapure water, according to the previous studies suggesting that Hadean seawater was acidic due to the high partial pressure of CO2 in the atmosphere (e.g., Kasting 1993; Macleod et al. 1994).

> The initial solution used in our algorithm was generated using a modified version of the cheapest insertion heuristic reported by Rosenkrantz et al. [28] for the traveling salesman problem.

The amount of calculations in generating the initial solution is polynomial in C and K.

In the case of pH effect on As V) ion sorption, the initial pH of the initial solution was adjusted in the range 4 10.