Sentence examples for using the first expression from inspiring English sources
Setting the derivative to zero and using the first expression under the max operation in (11), we obtain hat{mathbf{R}}^{T} = sum_{n=0}^{N-1} mathbf{x}(n) mathbf{x}(n)^{T}.
Further, the power law can be applied to describe the data by using the second order expression with respect to ozone and Nap concentration.
The immunoblot using the first antibody showed predominant expression of a band at ∼90 kDa, however, the immunoblot with the second antibody showed weak expression of bands at ∼80 kDa and∼100 kDa (Supplementary Figures 2B and C).
Intercept (a), slope (b) and coefficient of determination (R) using the first estimator of Van Raden (expression 14), based on simulated data without and with linkage, when the distribution of allele frequencies in the founders is estimated from the data Considering all coancestries among the 1827 bulls in the real data set, Table 5 summarizes the comparisons among all estimators.
Finally, for each gene expression module a summary measure or eigengene can be calculated using the first principal component of the corresponding expression matrix.
Total RNAs isolated using the RNeasy kit as described above were reversely transcribed using the NCodeTM miRNA first-strand cDNA synthesis kit (Invitrogen) to quantify mature miRNA expression, or using the first-strand cDNA synthesis kit (Fermentas) to quantify Abcc3 expression according to the manufacturer's instruction.
Of the 690 transcripts originally identified using the first-generation array, 39 had expression levels that correlated with fire blight resistance in the breeding population.
Using the first-order perturbation theory, analytical expressions for the mean-square error (MSE) of these algorithms are derived.
The relative miRNA expression levels were calculated by normalisation with RNU6B expression [ 19] using the second derivative (Cp) method [ 20].
Relative expression was calculated using the second derivative method (Rotor-Gene software 6.1.71, Corbett Research).
Tomfohr et al. [28] and Bild et al. [23] used the first principal component of the expression profile of the member genes to estimate the activity of a given pathway.
