Sentence examples for 1 fulfills from inspiring English sources

Besides, let us suppose that ρ 1 fulfills at least one of the conditions (c) or (d) of Theorem  2.1.

Note that the term V T V can be omitted as along as (hat {mathbf {h}}(n - 1)) fulfills (66).

Obviously the spacetime of Figure 1 fulfills Hawking's requirement since in this case H+ Σ0) is itself compact but just as obviously the spacetime of Figure 2 (conformally doctored or not) does not.

and finally to the explicit formulation of the adaptation algorithm, assuming that ( hat {mathbf {R}}(n)) is invertible and (hat {mathbf {h}}(n - 1)) fulfills (17) for n−1: begin{array}{*{20}l} hat{mathbf{h}}(n) &= hat{mathbf{h}}(n - 1) + hat{mathbf{R}}^{-1}(n) mathbf{X}^{H}(n {N} mathbf{e}'(n {N}).

Besides, let us suppose that ρ 1 fulfills at least one of the following conditions: (c) there exists a sequence { z n } n = 1 + ∞ of positive numbers such that lim n → + ∞ z n = + ∞, lim n → + ∞ ρ 1 ( z n ) z n = 0,  .

The architecture of the developed PEDD device illustrated in Fig.  1 fulfills the above requirements: The optical pathlength through the solution (determined by the o-ring thickness) is merely 250 μm.

Ten studies (Fig. 1 ) fulfilled the aforementioned inclusion criteria.

Taking into account continuity of T and (T a,1)=a), there is a real number l in ((0,1)), fulfills T a,l)>a-frac{varepsilon}{3}quad mbox{and}quad Tbiggl a- frac{varepsilon}{3},lbiggr)>a-frac{2varepsilon}{3}.

The Y-box protein-1 (YB-1) fulfills pleiotropic functions relating to gene transcription, mRNA processing, and translation.

R20 together with R7 fulfills "italic" conditions.

Thus, MIR2911 fulfills the requirement for a threshold miRNA concentration.