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The knowledge about the chemical behavior of the analytes which was obtained by factor analysis and soft modeling method was used to implement a hard modeling equilibrium constraint in hard modeling that ensures the correct complex formation constants.
Hard modeling or model-based method was used to analyze a given measurement based on a predetermined model.
These methodologies are based on soft and hard modeling that leads to the evaluation of stoichiometry of the main species and formation constants.
Raman spectra were evaluated via non-linear multivariate Indirect Hard Modeling and verified by differential scanning calorimetry and hot-stage microscopy.
Tables 1 and 2 show a good convergence of the results obtained by the two soft and hard modeling approaches, which confirms the previous equilibrium models (Equations 1 to 3).
The model-based engineering approach overcomes the crudity of hard modeling, field experiments and statistical analysis for finding the optimum structure of a design.
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At first analysis, it looks a hard model to sustain.
"It's a very, very hard model to scale," O. B. Jacobi, the president of Windermere, said of Redfin's approach.
Comparison with a hard model evaluation based on non-linear regression techniques shows excellent agreement.
And although Columbus Superconductors may inspire, it employs only a few scientists and could be a hard model to follow.
MCR-ALS was used in the initial estimation of parameters related to the equilibrium concentration and spectra, and then they were confirmed using the hard model.
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