Sentence examples for dominate solution from inspiring English sources

Solution A is said to dominate solution B if both of the following 2 conditions are satisfied: i) f i A ≥ f i B (∀ i ∈1 … M ), where f i A and f i B are the i-th objective functions of solutions A and B, respectively, and M is the number of objective functions; ii) f i A ≠ f i B (∃ i ∈1 … M).

This result was likely explained as the CO2 CH4 couple beginning to dominate solution redox conditions.

In addition, solution A is said to strongly dominate solution B when f i A > f i B (∀ i ∈1 … M).

Distribution of aqueous HnPO4n-3 species at different pH, it can be seen that at pH~4, the dominating solution species is H2PO4- and at pH~9 the dominating solution species is HPO42-.

In crowded tournament selection operator, solution i dominates solution j in the tournament if and only if one of the following conditions are met: 1. Solution i has a better rank.

Suppose that (E(f(x^ ),lambda_{2} )) is dominated solution for (P), then there exist a feasible x for (P) and an index r such that f_{r} (x)< Ebigl(f_{r} bigl(x^ bigr), lambda_{2} bigr), qquad f_{i} (x le E bigl(f_{i} bigl(x^ bigr),lambda_{2} bigr) quad mbox{for all } ine r.

Moreover, in the case where the assumption does not hold, it can only happen that a dominated solution is generated additionally to the solutions from the Pareto front; it cannot lead to dropping any Pareto-optimal solution.

Update the HM (EA) by adding the non-dominated created harmonies and by removing the dominated solutions from HM.

Step 10) Eliminate dominated solutions from the archive.

All the dominated solutions are removed from the archive.  .

However, these techniques limit available solutions and may omit several appropriate but dominated solutions.