Sentence examples for the left factor from inspiring English sources

In (14), the left factor before the plus sign is omitted because it is independent of.

A related and interesting task Firstuture resarconditionedtend the RBPF tonsmootheng particle, where the new algorithm stated also be quitheattractive.

These are defined by repeatedly applying γ from Eq. (2.1) to permute the left factor of B A i and right factor of B B j to the left and right respectively, after having applied their comultiplications.

Our contributions include: (1) a checkpointing and recovery mechanism for the left-factor Q whose performance is scalable on hybrid systems; (2) optimized Givens rotation utilities on GPGPUs to efficiently reduce an upper Hessenberg matrix to an upper triangular form for the protection of the right factor R; and (3) a recovery algorithm based on QR update on GPGPUs.

In the Caputo-type difference it is the right-hand factor in the composition, whereas in the Riemann-Liouville-type difference (i.e., Definition 1.9) it is the left-hand factor in the composition.

The Beurling-Lax-Halmos theorem guarantees that (Theta_{d}) and (Theta_{m}) exist and are unique up to a unitary constant right factor, and (Theta_{d}^{prime}) and (Theta_{m}^{prime}) are unique up to a unitary constant left factor.

O = o O-1) simplifying the left and facto O-1 out o on right.

The left-on-left factor is negligible with the Phillies' other lefty sluggers, Chase Utley and Raul Ibanez, who hit left-handers better than right-handers this season.

The vast majority of factor reference gestures located the factors on the left-right axis (202/248, or 81%), most often with the first-mentioned factor on the left and the second-mentioned factor on the right.

At the region furthest to the left (lowest α-factor), we saw clustered cells indicative of dividing cells.

Surface water is located in the left upper quadrant with factor 1 scores ≤0 and factor 2 scores ≥0.