Sentence examples for be the optimal solutions from inspiring English sources

Let X i t o p t −, Y i t o p t −, I M t o p t −, f opt − be the optimal solutions of f− submodel.

Let x j i o p t −, y j i o p t, and f j o p t −, and be the optimal solutions of f j − submodel.

Let x ∗ and ( z ∗, μ ∗, λ ∗, s ∗, t ∗, v ∗, w ∗, y ˜ ∗, p ∗ ) be the optimal solutions of (NFP) and (NMD), respectively.

Let x* and ( ā, μ ̄, k ̄, v ̄, w ̄, s ̄, t ̄, ȳ * ) be the optimal solutions of (FP) and (FD), respectively, and ∇g h (x*), h ∈ H(x*) is linearly independent.

In the long run, education, prevention, and a therapeutic vaccine will be the optimal solutions for reducing the stigma associated with both EVD and HIV.

But the intersection may not be the optimal solution.

The target load range where is then not possible to be the optimal solution.

Hence, ((x^{ast},y ^{ast})) must be the optimal solution to (P1).

Let p k, n ∗ be the optimal solution for minimizing g.

Let (boldsymbol {W}^=[boldsymbol {w}^_{1},cdot,boldsymbol {w}^_{K}]) be the optimal solution of (16).

Since results are quantitative in nature, a quantitative conclusion would be the optimal solution.