Sentence examples for and hence defined from inspiring English sources

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Only paired end reads were used because they were derived from a 300-bp library and, hence, defined more precisely the junction boundaries.

The POWERDRESS (PWR) mutation was found to enhance the expression of MIR172a, MIR172b and MIR172c (leading to reduced AP2 expression) and hence defined one component of the extensive gene network controlling floral determinacy in the stem meristem (Yumul et al. 2013).

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This successful designed engineering led us to identify two naturally occurring and oppositely oriented VKOR homologues from the hyperthermophile Aeropyrum pernix that promote oxidative protein folding in the periplasm or cytoplasm, respectively, and hence defines the probable route for disulfide bond formation in the cytoplasm of hyperthermophiles.

It is, however always possible to measure, and hence define, the size of this change in a subsequent measurement of the final momentum with arbitrary precision.

For finite-dimensional Lie algebras, the Baker Campbell–Hausdorff series always has a non-zero radius of convergence and, hence, defines a local Lie group.

end{aligned}In fact, under the given assumption (fin mathcal S), Eq. (1.10) holds for all (xin mathbb {R}), since both series are uniformly convergent, at least on compact subsets of (mathbb {R}), and hence define continuous functions.

This is an important need because TADR is intimately related to flow length and area (e.g., Walker 1973; Malin 1980; Pinkerton and Wilson 1994; Calvari and Pinkerton 1998; Murray and Stevens 2000; Harris and Rowland 2009), and hence defines the potential for a lava flow to enter vulnerable areas to cause damage.

If (h3) holds, using the aforementioned construction we can find w 1 such that L w 1 = 1 and w 1 ( 0 ) = 0. Now, w 2 : = w 1 − 1 / ( a 0 + b 0 ) satisfies L w 2 = 0. Observe that the second part of condition (h2) is precisely w 2 ( t 0 ) ≠ 0, and hence, defining w = u ¯ + c − u ¯ ( t 0 ) w 2 ( t 0 ) w 2 we see that w is a solution of problem (2.1).

Our recent data suggest that the new flagellum could participate to basal body migration and hence define its own positioning.

Amino acids surrounding phosphorylation sites direct kinase binding and hence define kinase-substrate specificity.

Astrocytes control tissue equilibrium and hence define the homoeostasis and function of the CNS (central nervous system).

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