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Constant phase components are usually involved, at least formally, in most mathematical procedures used for resolving electrochemical impedance spectra.
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Based on micro X-ray computed tomography (μCT) data, we introduce a mathematical procedure using spherical harmonics to characterize and reconstruct the particle micromorphology in three dimensions.
A tomographic mathematical procedure uses the experimental homodyne data in order to provide a complete characterization of the quantum state by reconstructing its density matrix ρ̂ or equivalently its Wigner function (W_{rho }).
A mathematical procedure using the Matlab® PDE toolbox to calculate the numerical constant appearing in the general Taylor Aris expression for the dispersion in a laminar flow through open-tubular conduits with a variety of quasi-rectangular cross-sectional shapes is described.
An experimental apparatus is developed in order to verify the capability of the mathematical formulation and the numerical procedure used to describe the system general behavior.
The mathematical and statistical procedures used for calculating mixture effects according to CA and IA are described by Faust et al. (2001).
The basis of our analysis can be followed using the flow diagram set out in Figure 1; the mathematical equations and exact procedures used are detailed in additional file 2: mathematical notation and analysis.
Also, the experimental model and mathematical procedures were used to determine changes in the stress strain law, caused by the action of L-arginine.
The appearance of the new mathematical inequality often puts on firm foundation for the heuristic algorithms and procedures used in applied sciences.
Principle Component Analysis (PCA) is a mathematical procedure widely used for high dimensional data analysis.
For this binary, experimental data of all the properties are correlated with a mathematical procedure described using two models, one developed by us, and an extended form of the NRTL model.
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