Sentence examples for the above refined from inspiring English sources

The above refined formulations of the Krasnosel'skii fixed point theorems allow us to derive new classes of Krasnosel'skii type theorems.

It is worth to remark that a v-version of the above refined interpolated inequality has not been given in the literature, and we present it here without a proof since it is immediate from Theorem 4.3.

After estimating the camera motion parameters (e.g., pan, tilt, zoom, rotation), the above refined MV can be further compensated as M V H S = M V H C − Δ H and M V V S = M V V C − Δ V (3).

The DWYG capsules were finally obtained by decompression drying and granulating of the above refined concentrates.

On the basis of the respondents' information presented in this section and the above sections we refined model 1 and added the perspective of professionals to the upper part of the adapted model [see Additional file 2].

Repeat the above procedure to obtain the refined log spectrum, log S ̂ n ωmt , of the noise signal.

The above SR decisions are further refined to avoid BW waste by considering the SR values in the adjacent MBs, as illustrated in Figure 3a.

Given a mesh patch of triangles, our goal is to get a refined patch with the above properties.

A total of 330 unigenes common to the above two EST filtering results constituted a more refined set of scent-related genes in P. bellina (Table 3).

The above PPIN construction method was employed to construct the refined PPINs for cancer and non-cancer cells of bladder, colorectal, liver, and lung cancer, respectively.

The above PPIN construction method was employed to construct the refined PPINs for each stage of bladder cancer (early and late) and noncancer cells.