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Optimization: The minimum cost T-join problem can be solved in polynomial time [5].
Upon optimization, the minimum detectable Sn concentration was found as 0.3 mg/L in water samples.
Optimization: The minimum cost f-factor problem in undirected graphs can be solved in polynomial time, see Schrijver [20].
Following the TS optimization, the minimum energy path (MEP) between the critical points were calculated with the nudged elastic band (NEB), to ensure continuity of the path and projection of the force, so that the system converges to the MEP.
Characterization: The answer is Yes if and only if (d^_{D_{1}}(X leq d^_{D_{2}}(X)) for all X⊆V by Theorem 1. Optimization: The minimum cost circulation problem can be solved in polynomial time, see Tardos [23].
If them-Orientation Sandwich Problemhas aYesanswer, then a subsetFofE0is feasible if and only ifFis a base of the matroid(M_{bar{m}}/E_{1}). Complexity: The condition (d) of Theorem 11 can be verified in polynomial time by Theorem 4, so the m-Orientation Sandwich Problem is in P. Optimization: The minimum cost version of the problem can be solved in polynomial time.
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and and as defined in the section describing the formulation of the combinatorial optimization, The minimum-cost maximum-flow problem is stated as follows: where represents the signed supply value for each node, defined as For any solution to the minimum-cost maximum-flow problem stated above, the edges with represent the annotations of cell x i with label.
Note that the above optimization maximizes the minimum Euclidean distance for all pairs of transmitters.
The optimization of the minimum mean-squared-error (MMSE) cost function was used to derive the MIMO processing matrix in [9].
Constraints on this optimization include the minimum effective delivery rate, the time required to achieve the minimum delivery rate, and the maximum allowable delivery rate.
The effect of the design speed on the best shape is addressed through a multi-objective optimization targeting the minimum total resistance at two very different speeds, namely the cruise and slow transfer speeds.
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