Sentence examples for solutions the solution from inspiring English sources

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Step 4. If the variational inequality (2.1) has solutions, the solution must be unique.

Among these solutions, the solution of the least magnitude is found by introducing the Moore-Penrose pseudoinverse of AΦ, denoted as (AΦ)+.

Since there are no constraints on a23 and a34, we have 9 such solutions: the solution space has been reduced to 36−9 9 = 27 reactions.

For an optimization problem having 'n' number of variables and k solutions, the solution matrix (SM) keeps 'n', variables, ((v_{1}^{1},v_{{1}^{2}, ldots,v_{1}^{n})) and associated k objective function values ((f v_{1} ),f v_{22} ), ldots,f v_{k} ))). Figure 2 shows a solution matrix.

Given a set of possible solutions, the solution A dominates B, if the value of at least one objective in A is better than the corresponding objective value in B and the values of the remaining objectives in A are at least equal to the corresponding values in B. A is non-dominated if it is not dominated by any other solution.

Given a set of possible solutions, the solution A dominates B if, the value of at least one objective in A is better than the corresponding objective value in B, and the values of the remaining objectives in A are at least equal to the corresponding values in B. We observe that the generation of test data sets is a multi-objective problem, impacted by many factors.

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If the discussion of real cases generates new and better solutions, the solutions are likely to be used afterwards.

But if the initial archive is not empty and contains some well-distributed non-dominated solutions, the solutions converge faster than before, while keeping a good diversity.

SOLUTION The solution is for each slice to have the same amount of the perimeter of the cake.

Invariably when I debate these issues, I am frequently asked the question "If you don't support the PNG solution, what is the solution?" The solution is not Nauru, PNG, East Timor or Tuvalu.

"Solution", the solution of the model is presented.

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