Sentence examples for we defined previously from inspiring English sources

The complete analogue of Theorem 3.2 is true for Bergman classes on expanded disk we defined previously.

Since T p and T n are independent and have the same statistics as we defined previously, the probability of false alarm (p_{fa}^{or}) and the probability of detection (p_{d}^{or}) of T or can be found as follows [2]: begin{array}{*{20}l} p_{fa}^{or}&=1-left 1-p_{fa}^{p} right)^{2} end{array} (41).

Under photosynthetic conditions, the PntA1-Zwf1 double mutant was incapable of growth on either glucose, succinate or acetate (representatives of each of the 3 major classes of carbon source we defined previously).

Furthermore, we defined previously screened (1) as women who participated in mammographic screening before cohort baseline (1993 97), and firstly screened (2) as women who did not participate in screening before cohort baseline, and have thus participated in mammographic screening for the first time after cohort baseline (1993 97).

Fully adjusted models controlled for trial membership (E vs. E + P), a within-trial indicator for treatment arm (active vs. placebo), time on study (days), continuous temperature (degrees centigrade), as well as the participant and neighborhood characteristics that we defined previously.

We defined previously two loci, Marif1 controlling production of IL-12, TNFα and iNOS, and Marif2 controlling production of TNFα and IL-12, by in vitro stimulated bone marrow-derived macrophages [ 10], and two loci, Cinda3 and Cinda5, controlling in vitro proliferative response of lymphocytes to cytokines IL-2 and IL-4 [ 11].

For the network model we define previously, a suitable MAC protocol is needed when several sensor nodes have data to transmit and stay within the communication range of a same AUV, and the AUV receives data with higher rate to reduce the transmission delay.

Thus, we define previously unknown dynamic correlation of macromolecular structure of mitochondria and apoptosis progression in the presence and absence of Bax protein.

Furthermore, low FOXP1 transcript levels significantly correlated with unfavorable gene expression-based classification according to a prognostic multigene classifier that we have defined previously [ 26].

We use the distributions defined previously in The model section from the DeVlas model.

As defined previously, we approximated 'transcriptional noise' as the coefficient of variation (CV) among the replicates of expression data, as used previously [ 42].