Exact(2)
Perhaps the only practical solution belonged to Shakespeare's Polonius, who said, in Hamlet: "Neither a borrower nor a lender be".
This metrics are computed as follows: text{SM} = sqrt {frac{1}{N - 1} times sumlimits_{i = 1}^{n} {left( {d_{i} - overline{d} } right)^{2} } } (40 where (d_{i}) is the Euclidean distance between solution i and the nearest solution belonged to Pareto sets of solutions.
Similar(58)
The mathematical formulation of the problem represents the convex combinations problem with the condition that the solution belongs to a finite set.
The ROM is obtained by seeking a solution belonging to the POD subspace and that at the same time minimizes the Navier Stokes residuals.
It is shown that for the case q < p∗ (p∗ = ∞ if p ≧ N, and p∗ = Np N − p if p < N), (E) has always a nonnegative nontrivial solution belonging to W01,p ∩ L∞, and for the case p < N and q > p∗ (resp. q = p∗), (E) has no nontrivial (resp. nonnegative nontrivial) solution belonging to the class P = {u ϵ W01,p ∩ Lq; xi¦u¦q − 2u ϵ Lp(p − 1), i = 1, 2, …, N} ⊂ W01,p, provided that Ω is star shaped.
Moreover, the solution belongs to M 2 ( ( − ∞, T ] ; R d ).
Moreover, if, then the solution belongs to for all in.
The NB solution belongs to the region (mathcal {R}^{NB}).
Let equation (25) have a solution belonging to (L_{2}(G)).
As to the problem at hand, the resulting solution belongs to the sequential minimum MSE estimation.
Then BVP (1) has at least one solution belonging to X.
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Justyna Jupowicz-Kozak
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