The analytical methodologies discussed here refer to an "analytical system" encompassing information on the collection and storage of samples, the procedures used to extract, isolate, concentrate, separate, identify, and quantify POPs residues in samples, as well as specific quality control and reporting criteria.
Simulation confirms the analytical observation discussed earlier in this study.
Similitude experiments help to identify the limitations of both categories of analytical models discussed above.
The National Taiwan University Purdue University nonhydrostatic model simulations are used for comparison with the analytical results discussed in the previous section.
The experimental and analytical results discussed in this paper emphasize on the best composition of carbon and glass fibers for the optimum design of such hybrid beams.
To illustrate the analytical results discussed in the previous section, we solved numerically examples of the form (36a) and (36b) using a MATLAB™ software package bvpsuite designed to solve BVPs in ODEs and differential algebraic equations.
Nevertheless, a similar qualitative agreement has been obtained between the analytical distributions discussed above and empirical distributions from an ensemble of conventional numerical solutions, e.g. not converged (Valtonen and Karttunen 2006, Chapters 7-8 and references therein).
Notwithstanding the assumptions and limitations of this analytical solution, discussed notably by Karbala et al. (2009), calculation of the fracture's intrinsic transmissivity gives access to a global macroscopic parameter at fracture scale for characterising the fracture permeability and its evolution as a function of the mechanical loading.
The analytical methods discussed herein are not intended to provide quantification of minor impurities for use in stability-indicating methods.
In addition to analytical limitations discussed, the duration of placebo control in trials contributing data to these analyses was relatively short.
