Sentence examples for and since the sequence from inspiring English sources

Let with the supremum norm and Since the sequence is monotonically decreasing, but not uniformly convergent to, thus, is not strongly minihedral.

and since the sequence { e n } is strictly increasing, then it follows that log F n log e n < μ + 1 2. (3.16).

And since the sequence { p ( x n, x n + 1 ) } is decreasing, it must converge to some η ≥ 0. Taking limit as n → ∞ in (2.2) and by the continuity of φ and ϕ, we get φ , and so we conclude that ϕ = 0 and η = 0. Thus, we have lim n → ∞ p ( x n, x n + 1 ) = 0. (2.3).

Since the association of these subunits is essential for viral replication [28], [29], [30], [31], and since the sequence of this domain of PB1 is highly conserved among FluA strains [32], this interaction presents an attractive target for antiviral drugs.

Adalimumab can be obtained in relatively large quantities and since the sequence of the antibody is known, it is well-suited to optimize CDR identification by mass spectrometry in a serum IgG background.

The mapping F is continuous, and since the sequences ( g x n ) and ( g y n ) are respectively G-convergent to x and y, using Definition 1.9, the sequence ( F ( g x n, g y n ) ) is G-convergent to F ( x, y ).

and since, hence the sequence which is decreasing, converges to 0. Now, we show that is a Cauchy sequence.

On the other hand, as IFDMA can be viewed as a fully loaded spread spectrum multicarrier transmission scheme [11], where the spreading sequences are Fourier sequences, and since the Fourier sequences are also orthogonal, we can safely extend this approach to the B-IFDMA.

(b) If is an optimal solution of problem (P3) and one has for all Since the sequence is increasing and since it is also upper bounded it converges in.

We also excluded C/A, A/C, and G/T (B6/BTBR) SNPs since the sequence data had disproportional amounts of reference mismatches of these variety, indicative of high error rates.

Since the sequence and expression of most known coding transcripts and functional ncRNAs is conserved between human and mouse, the lack of northern-detectable expression in human cells and tissues of the novel mouse and rat ncRNAs that we identified suggests that they are not functional or possibly have rodent-specific functions.