Sentence examples for optimal assumptions from inspiring English sources

In this article, we establish optimal assumptions under which general Hardy-Littlewood and Riesz-type functionals are maximized by balls.

By imposing optimal assumptions on (p cdot)), (A x)) and the boundary of domain Ω, we finally state our main results.

In this contribution, we deviate from some optimal prior assumptions and study the performance on more feasible constraints, including a fixed set of postpreambles, additive noise impacting the channel estimation and collision recovery as well as collision detection algorithms with limited quality.

Then Quittner [18] obtained the existence results with the optimal growth assumption on q, i.e. (1 < q < q_{S}), where q_{S} :=frac{N+2}{N-2}quad mbox{if } N>2,qquad q_{S}:=+inftyquad mbox{if } Nleq2.

The employment of optimal growth assumption has allowed successful calculation of phenotypic behaviour in FBA of reconstructed metabolic models of several microorganisms [ 34- 38, 38, 40- 46, 47] 47], suggesting that their metabolic networks have evolved for the optimization of the specific growth rate under several carbon source limiting conditions.

This property is currently only available for feature extraction methods that are either sub-optimal or optimal under restrictive assumptions that do not hold for generic imagery.

In this case, we can derive closed form expressions for the optimal training under assumptions similar to those made in Theorem 3. We therefore have the following result: Consider the optimization problem minimize P ∈ C n T × B tr I adm ( R - 1 + P ~ H S - 1 P ~ ) - 1 s.t.

Consequently, the correct answer to a phylogenetic problem is not a single estimate – one topology optimal under the assumptions of a particular phylogenetic reconstruction method.

One assumes, as Mr. Greenspan does, that the outcome is optimal, but that assumption cannot be made, he said.

This obviously contradicts the previous optimal sum rate assumption.

This again contradicts the previous optimal sum rate assumption.