Second, after we derive an embedding inequality of vector-valued functions, we obtain some criterions that guarantee the operator (mathbf{H}_{X,A,Q}) to have a purely discrete spectrum.
After we derive the feature matrix for all the genes from dimension reduction using FPCA, we merely need to adopt a metric definition which is used as a measure of similarity in the behavior of two genes.
After that we derived a variable with four response patterns of adult respiratory symptoms by combining the response to each variable obtained at age 29: 0 no respiratory symptoms, 1 phlegm only, 2 cough only and 3 phlegm and cough.
After preprocessing, we derived two different text corpora: a PubMed abstract corpus consisting of a vocabulary of 1,136,085 entries for induction of Brown clustering models, and a merged corpus of both resources with a vocabulary of 4,359,932 entries for training WV models.
After this step we derived two consensus haplotypes for each monkey, splitting replicated haplotypes from the same monkey into two clusters, corresponding to two chromosomes, based on the Hamming distance between haplotypes.
After extensive subcloning, we derived PK1 cells, a mouse neuroblastoma cell line highly permissive to mouse RML prions (Fig 1A and C), which we used to develop a sensitive cell-based prion bioassay, the Scrapie Cell Assay (SCA) (Klohn et al, 2003).
After normalizing the datasets we derived 10 metrics that describe the vertical and horizontal distribution of vegetation and that are commonly used to estimate AGB from LiDAR data.
After N LOO iterations, we derived the relative hazard for every patient, which was actually the linear predictor.
Then, comparing the average positions relative to the IA before and after the Tohoku-oki earthquake, we derived the eastward coseismic displacement of 3.9 ± 2.0 cm at BOSS.
After relocation of the events, we derived 2131 earthquakes and a total of 92,858 arrival times, consisting of 50,044 P-wave and 42,814 S-wave arrival times for the LET.
After all, Babel is where we derived our 6000+ spoken languages, according to the Bible.
