Sentence examples for described above quantities from inspiring English sources

But apart from the fact that, as described above, quantities exported influence export earnings as much as prices, there are many other factors that determine export earnings.

Barley and wheat can now rely on the genomics tools described above to develop large quantities of molecular markers.

Fresh quantity of the same homogenate was then deposited, and the entire procedure described above was repeated.

The average effects must be presented in terms of statistical quantities similar to the described above, and the quantities have to be functions of the background flow.

The resulting cRNA was purified as described above and cRNA quantity and quality were measured using spectrophotometric analysis and the 2100 Bioanalyzer (Agilent, Palo Alto, CA).

Given the estimated quantities described above, the following generalized likelihood ratio (GLR) test statistic can be derived [17] mathcal{T}_{xx^{ast}} = N {hat{mathbf{r}}_{xx^{ast}}}({a_{0}}){hat{mathbf{Sigma}}_{xx^{ast}}}^{-1}({a_{0}}) {hat{mathbf{r}}_{xx^{ast}}}^{mathrm{T}}({a_{0}}).

As described above, both functions describe quantities that reduce as the training of the map proceeds.

We define noise of A or B as the squared coefficient of variation, ηaa2 = Caa2/ a and ηbb2 = Cbb2/ b, respectively, and derive dynamic equations for these quantities as described above (eqs 3 and 4; See Supporting Information for specific derivations): 5 6Hba*, Hba* is the susceptibility of B to A as defined at steady state: Hba* = (∂ ln b)/(∂ ln a) ≈ ∂ ln Rb / Rb+)/(∂ ln a).

RNA was extracted and checked for quality and quantity as described above.

Using the methods described above, we calculate a number of quantities for individual pseudopods and single cells (Table 2).

Using the optimal solution procedure described above, we can find the optimal order quantity and maximum inventory levels to be.