These are described for a single crystal, and a ray-tracing method is derived for multiple crystals assuming that the misalignment angles are small.
Since the diagnostic test in our simulation has a continuous distribution, the sensitivity and specificity was derived for multiple thresholds by dichotomizing the subjects into abnormal (above the threshold) and normal (below the threshold).
The extended flame stretch model of de Goey and ten Thije Boonkkamp [Combust. Flame 119 (1999) 253 271], which was derived for multiple-species transport and chemistry, is used as a starting point.
This extent of these deviations depends on the particle number, N, and its molecular brightness ε, and thus these parameters can be derived, for single or multiple species, by modelling the PCH curve [15].
Similar conclusions could be derived for translational processes, since multiple ribosomes could simultaneously bind to single mRNA template [ 36].
This study employed the percentile-based definition against a baseline climate (see Methods) for multiple reasons – it is practical for different climates; it has been successfully used to derive changes in heatwaves from different types of climate data; and multiple heatwave characteristics can be derived for a range of such impacts1.
Two control laws are derived for stable, multiple-input multiple-output processes.
Incremental harmonic balance (IHB) formulations are derived for general multiple degrees of freedom (d.o.f).o.f
In this study, the maximum lamination width which shows almost the same performance as the case of perfect mixing was derived for various multiple reactions and reaction conditions.
Based on Snell's law and the energy conservation law, a series of first-order partial differential equations are derived for the multiple freeform surfaces of the initial system.
