Sentence examples for under such hypotheses from inspiring English sources

Under such hypotheses, there exists (tilde{u}in V) such that begin{aligned}& Psi (tilde{u}) (t)in Fbigl t,Phi (tilde{u}) (t bigr)quadmutextit{-a.e.}, & biglVert Psi (tilde{u}) (t bigrVert _{Y}lesup _{|x|_{X}levarphi(r)} dbigl(0_{Y},F t,x bigr)quadmutextit{-a.e. in } T. end{aligned}.

Under such hypotheses, the probability of associating a certain non-coding DNA element to a given GO category can be regarded as (1) where N GO is the number of genes/loci associated with a given GO category in the set of N HG genes analyzed.

Under such hypothesis, the ergodic capacity in the ℓ th hop in the case of uncorrelated Rayleigh fading is given by [34] C ̄ n T 0 , n T I , n R , P = I n T 0 + n T I , n R − I n T I , n R , (3).

Under such hypothesis, SMT would lead to plastic changes in sensorimotor integration within the central nervous system [ 11].

One should notice, however, the extent to which such hypotheses serve their needs.

Such hypotheses have now sprung up about the National Education Association's (NEA) partnership with Teach Plus.

Our results support such hypotheses.

Under such a hypothesis across two periods the absence of autocorrelation renders returns between periods to be independent.

Under such a hypothesis on ∇f, Takahashi and Toyoda in [8] proved that (P_{C} (I-frac{1}{L_{f}}nabla f)) is a nonexpansive mapping, hence to solve (resp. to approximate a solution of (1.1)) is equivalent to finding (resp. to approximate) a fixed point of the nonexpansive mapping (P_{C} (I-frac{1}{L_{f}}nabla f )).

Under such a hypothesis, the tissue specificity associated with TSE should show the same characteristics as that of P repression by telomeric P elements in TAS.

Under such a hypothesis it is expected that genetic effects are dynamically modulated by environmental exposures.