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Finally, good predictive ability of the suggested models was proved with five additional verification experiments.
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First, the existing models are proved wrong by the facts.
Various models were proved to perform very well.
Theoretical convergence of our continuous and discrete models is proved and our methods are tested in numerical experiments.
In the next step, accuracy and validity of these mathematical models are proved both statistically and experimentally.
The mathematical models for calculating kinetics values were established, and the models were proved to be valid for predicting lignocellulosic biomass pyrolysis behavior.
Finally, the statistical significance of the model was proved.
The present model was proved to be accurate sufficiently by compared with test results.
Once again, the proposed linear model was proved by measurements (see Figures 7 and 8).
The model was proved to be in good agreement with the experiment data.
The generated 3D-QSAR model was proved to be reliable by internal and external validations.
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