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The extension to the 2D case is straightforward by using separable processing along rows and columns.
belongs to S ∗ [ A, B ] for c ≥ − α 1 − A 1 − B. Proof is straightforward by using Lemma 1.4.
The ε preventing the sensing probability from being zero is justified by the following lemma (the proof is straightforward by using the fact that the derivative of function logx is infinite at x=0).
A peculiar arrangement of the pin configuration in the DBEM analysis allows us to take into account the real in-plane plate stiffness and the transversal pin stiffness, even in a 2D analysis (this is straightforward by using FEM).
The controller form in (15) is the sum of resonant controllers like those in [14] but the implementation using HSRFs makes the frequency adaptation straightforward by using the value of (omega_{g}) estimated by the system PLL to carry out the frame rotation.
For such experiments Xenopus is a most suited model as knock-down of specific transcripts is straightforward by using morpholinos.
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Although these uncertainties are inherently different from the censoring found in single-cell qPCR, the flexible framework of Gaussian processes allows us to account for these uncertainties in a straightforward manner by using an additional term in the (Gaussian) noise model reflecting the technical noise, which can be estimated using the approach suggested by Brennecke et al. (2013).
Straightforward computation by using the recursive formulae shown in Theorem 2.4 and computer algebraic system Mathematica gives the following result.
A recursive formula for the surface impedance in the frequency and wavenumber domains can be derived for a layered earth in a straightforward manner by using the electromagnetic continuity conditions at the layer boundaries (e.g. Wait, 1981, pp. 43 55).
At least some of the techniques proposed in this work can already be employed with CNA in a straightforward manner by using the functions provided for interaction graphs.
To infer regulatory interactions among genes, the most straightforward way is by using correlations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com