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Analytically, one derives two classes of steady-states (see Methods for derivation of conditions): (I)(EGF* = 0 ∧ R* = 0) ∨ R_EGF* = 0, (II) CDE ∗ = 0 ∧ CIE ∗ =0 ∧ R_EGF ∗ = k f k r EGF ∗ ∗ R ∗, where X* denotes the steady-state concentration of the respective component.

Methods for derivation of NEDI-USA have been previously described [5].

To establish such a tool, a database of the characteristics of about 87,000 ships is acquired and various methods for derivation of empirical relations are employed.

Methods for derivation of lung epithelial cell lineages from embryonic stem cells have been established and are currently being refined; the existence of multipotent adult human lung stem cells that give rise to epithelial and vascular tissue has been reported.

When using preference-based measures for health outcomes, such as health utilities, to calculate Quality-Adjusted Life Years (QALYs), decision modelling guidelines recommend that the utility weights are incorporated into the model appropriately, and the methods for derivation of utility weights are justified [25].

Error bars represent two standard deviations from the mean (see 'Materials and methods' for derivation).

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To validate a multi-wavelength method for derivation of ionospheric conductivities qualitatively, we conducted photometric observations continuously during darkness intervals from October 2002 to March 2003 at the EISCAT Tromsø site in Norway.

In this paper, we aim at evaluating the method for derivation of conductivities by photometer using two wavelengths (427.8 and 630 nm).

To improve the efficiency of correction calculations a systematic method for derivation of the forcing term in these equations is given.

To evaluate a multi-wavelength optical method for derivation of ionospheric conductivities in more detail, simultaneous observations are needed that last for several hours or longer with optical instruments and an IS radar.

To overcome these difficulties we use the method for derivation of estimates for the convergence rate of difference schemes developed in the last 30 years by Samarskii and other authors (e.g., see [6 10]), in which the convergence rate is compatible with the smoothness of the solution of the original differential problem.

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