Sentence examples for henceforth t from inspiring English sources

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Henceforth, T is a WGMT-contraction and enjoys all conditions of Theorem 3.

Henceforth, T, g, F, and H stand for mappings as follows: (T,g Xrightarrow X) and (F,H X^{2}rightarrow X).

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The closure of a set M will be denoted by M ¯, and we shall henceforth shorten T − μ I to T − μ.

Henceforth, above T MI, the Jahn Teller-type distortion present in the unit cell traps the charge carriers and gives rise to polarons.

We demonstrated that dramatically different molecular mechanisms underlie progression to resistance to tamoxifen (henceforth, MCF7-T) and fulvestrant (henceforth, MCF7-F) and also identified specific genes and biochemical pathways associated with SERM- and SERD-resistance.

During the screen, escargot-Gal4 (esg-Gal4) was used to drive RNAi expressions of different genes in ISCs and EBs in the presence of a temperature-sensitive Gal4 repressor, tubGal80 (henceforth esg80 ts ).

We assume, henceforth, that A ( t, 0 ) ≡ 0 and ∥ f ( t ) ∥ ≤ N for all t ∈ R + and fix a vector u 0 ∈ R n with ∥ u 0 ∥ = r 0. For each positive integer n with n > T 0 > 1 n, we consider the following Cauchy problem: x ′ = A ( t, x ) + f ( t ), x ( 1 n ) = u 0. (c.p).

The contribution of AT or TC copies of a gene to total gene expression was assessed from the ratio of the PSF intensity E p to the averaged non-PSF intensity Ē t (henceforth E p/Ē t ratio).

Using simulated data, it has already been shown that the Crawford-Howell t-test (denoted as CH t-test henceforth) works better than the one-sample t-test irrespective of the number of controls and the one-sample t-test has a high Type I error rate [ 16].

He is blessing us here in San Jose, California, with his celebrity, promising never to disappoint us, letting us in on the latest bit of inside-baseball campaign strategy: "Lyin' Ted" is no longer to be Lyin' Ted; henceforth he will be just "Ted".

To assess the learner's L2 proficiency for recruitment and participation purposes, the Oxford Quick Placement Test (henceforth QPT), a standardised 30-min multiple choice general English proficiency test) was administered at the beginning of the semester.

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