Sentence examples for optimal extension from inspiring English sources

Optimal extension of the Hausdorff Young inequality, initially attained for the torus by G. Mockenhaupt and W. Ricker, is also established in the local field setting.

A script was been developed to identify the optimal extension for each ISFtu element.

As a baseline we computed optimal AUC scores using a single Gaussian kernel: first on sequence data alone, then on sequence and secondary structure concatenated together using encoding and window length parameters described in [38] and finally on a variant of [38] using a grid search to find optimal extension length parameters.

Given a partition P   of R(i), let ε i (P ) denote an optimal extension of P  .

A roll was positioned under the puncture site to keep it parallel to the floor, and the extremity was taped to maintain optimal extension.

Reads were extended towards 3′ ends to a final length of in average 139 nt after determining the local optimal extension size (per 10 kb).

The optimal extensions varied amongst different ISFtu elements.

Optimal extensions of P 1 ′ and P 2 ′ and their partition scores can be calculated with the following equations: (8) E i + 1 (P 1 ′ ) (l ) = E i (P ″ ) (l ), 1 ≤ l < i ; P ′ 1 (l ), l = i.

Henceforth – in the design space usage stage (b) – architects submit initial models to the optimization engine, which searches for those (near- optimal extenear- optimaling dextensionse-offs.

The optimal (L^p) extension of Theorem 7.1 is.

Recently Ohsawa [40] has given a significantly more elementary proof of the optimal constant extension theorem.