Sentence examples for applying the differentiation from inspiring English sources

Exact(2)

Our approach is derived by constructing the interpolating polynomial of degree N based on a spectral collocation method and applying the differentiation matrix to approximate the differential operator arising in SDDEs.

Based on a spectral collocation method, the scheme is constructed by applying the differentiation matrix (D_{N}) to approximate the differential operator (frac{d}{dt}).

Similar(58)

As all the wake-up radios use the same wake-up protocol, we apply the differentiation operation [6] to find the optimal preamble time period for our wake-up protocol, in order to achieve the lowest power dissipation for multiple wake-up radios.

In several parts of this article, when we apply the differentiation operator under the integral sign, i.e. d dτ ∫ g ( x, τ ) d x = ∫ d dτ g ( x, τ ) d x we will assume that the function g x, τ) is sufficiently nicely behaved in order to allow this operation.

Moreover, we applied the differentiation predictor to the mouse data set of Herschkowitz et al. [ 5] and observed that the previously identified claudin-low murine samples scored the lowest, while the MMTV-Neu and MMTV-PyMT models, which are known luminal mammary adenocarcinoma models, scored the highest.

Note that the exposed population at the equilibrium defined by (1.3) can be equivalently described by a differential equation obtained by applying the Leibniz differentiation rule under the integral symbol to yield (2.10).

end{aligned} (3.7) Applying the Lebesgue differentiation theorem, we have begin{aligned} lim_{rrightarrow0} Theta(mathbf{x})=u(mathbf{x}).

In this retrospective study we compare microarray transcriptomic data derived from two different hESCs lines (HUES1 and H9) exposed to valproic acid (VA) while applying the same differentiation protocol.

The down-regulation of mRNA levels for PDGFRα and Olig1/2 and Sox10 genes, coupled to up-regulation of myelin-specific genes in hNSC cultures that we observed applying the default differentiation protocol argued against the idea of reduced oligodendroglial potential of human versus murine NSCs.

When applying the osteoblast differentiation protocol, the cells generated long, multi-layered and bulging network-like structures.

By applying the criteria for differentiation of P. aeruginosa by FAFLP [94], which were based on the criteria for pulsed-field gel electrophoresis [95], 44 clusters of related isolates (with ≥80% homology) were identified and numbered (Figure 1, Figure 2, Figure 3, Figure 4, and Figure S1).

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