Sentence examples for generating frame from inspiring English sources

Since (Y_1,ldots,Y_n) is a generating frame for (TOmega ) then for any point x in a neighborhood (omega ) of (x_0) one has that there exists a unique n-tuple ((x_1,ldots,x_n)) such that begin{aligned} exp left( sum _{i=1}^n x_i Y_iright) (x_0)=x.

The approximating distance functions (d_epsilon ) can be defined in terms of an extended generating frame of smooth vector fields (X_1^epsilon,ldots,X_p^epsilon ), with (pge n) and (X_i^epsilon =X_i) for (i=1,ldots,m), that converges/collapses uniformly on compact sets to the original family(X_1,ldots,X_m) as (epsilon rightarrow 0).

The live video is created by taking a randomly generated frame, zooming slightly, rotating slightly, and applying the algorithm in order to strengthen the desired feature.

The fusion frame, as a generated frame, has a wide range of applications in engineering.

To test the proposed algorithm, we employ an initial signature matrix obtained from a randomly generated frame.

Once the video has been encoded in the MPEG-2 format, the generated frame measurements previously discussed are now available for analysis.

In metastatic melanomas, three SOX10 gene mutations have been found, two of which generate frame shift mutations before the DNA binding domain, leading to truncated proteins and inactivated SOX10 transcriptional activity.

This probability model is also useful in detecting sequencing errors often associated with the 454 pyrosequencing platform, including the difficulty in resolving homopolymer repeats that may generate frame shifts in the translated protein (78).

The average energy expenditure is related to the number of generated frames at source nodes.

The method generates frames of the deforming surface and the corresponding highlight lines by directly modifying the current highlight lines using a Taylor expansion technique, instead of going through a tracing process.

In particular, Proposition 1.1 and Theorem 1.2 imply that for (Nin mathbb {N}setminus{1}), the functions (B_{N}), (f_{N}), and (h_{N}) generate frames whenever (0< a< N) and (0< bleqfrand4}{N+3a}), and (g_{N}) generates a frame whenever (frac{3N}{7}leq a< N) and (0< bleqfrac{4}{N+3a}).