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 }).
Constant phase components are usually involved, at least formally, in most mathematical procedures used for resolving electrochemical impedance spectra.
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.
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.
Numerical optimization procedure using the desirability approach was used to develop an optimized formulation and thereby validate the mathematical models generated.
The possibility of hazard identification of such reactors by applying the HAZOP procedure using a mathematical model is discussed.
A comprehensible software based design procedure, using such a mathematical model, is therefore interesting for the industrial ED user.
Principle Component Analysis (PCA) is a mathematical procedure widely used for high dimensional data analysis.
PCA is a mathematical procedure that uses an orthogonal transform to convert a set of observations of possibly correlated variables into a set of values of linearly uncorrelated variables called principal components.
