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"You don't want to further that condition".
Assume further that condition (2) of Theorem 3.2 holds, where is generated by (1.8) with.
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Corollary 4.2 Assume that S Q V I S is nonempty in a neighborhood N ( λ 0 ) × N ( μ 0 ) of the considered point ( λ 0, μ 0 ) ∈ Λ × M. Assume further that conditions (i′ - iii′) and (v′) i′ - iii′and 4.1 hold.
Within each condition (e.g., cell line MCF7), we only kept the pairs complying with that condition and further assessed the correlation between structural similarity and transcriptomic similarity.
It typically involves fitting further regressions that condition on "top" loci that appear most strongly associated in order to rule out neighbors or rule in suspicions of an independent second signal [Barratt et al., 2004; Udea et al., 2003].
Further assume that conditions (a)–(c) of Theorem 4.3 (resp., conditions (a)–(d) of Theorem 4.5) are satisfied.
We further suggest that conditions leading to yield strength onset at low crystallinities include rapid cooling (increased crystal anisotropy), heterogeneous nucleation (which promotes extensive crystal clustering and large cluster anisotropy) and static conditions (random crystal orientations).
In order to establish the test statistic we need to obtain the consistent estimator of parameter ϕ 0 under H 0. Below we further assume that conditions (C1 - C3) hold.
The authors further demonstrated that conditioned media from GSCs markedly attract more primed U937 macrophage-like cells than conditioned media from non-stem cancer cells do, whereas treatment with an anti-POSTN antibody or knockdown of POSTN in GSCs dramatically attenuates such a chemoattractant effect.
42 Further, recognising that conditions such as hypertension and renal impairment are asymptomatic and that diagnosis may not occur in the absence of active surveillance, we were concerned about the potential for misclassifying prevalent cases as incident.
In support of this, we saw the upregulation of numerous autocrine factors, and further showed that conditioned media from cells treated with either EGF or HRGβ1 was able to activate MAPK signalling when added to serumstarved cells.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com