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It is shown that two problems, one which has become a classic in chemical kinetics developed by Wei and Prater and the other a more prosaic development in multicomponent rectification, when cast in the proper mathematical framework become amenable to a more direct solution.
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Everything, within this framework, becomes an encounter.
As a soft computing tool, rough set theory has become a powerful mathematical framework for pattern recognition, attribute value representation model to describe the dependencies among attributes, evaluate the significance of attributes, derivation of decision rules and knowledge discovery.
In the 1970's the mathematical framework of 'catastrophe theory' (Rosser2007; Zeeman1980) became a popular field of research as it provided one of the first formalisations of macro-economics that included a notion of both an equilibrium and non-linear state transitions (Zeeman1974).
There are some interesting points that the authors should address before the paper becomes suitable for Biology Direct: The model in its mathematical framework considers a factor (protein) that may be an active regulator of the cell cycle.
Shannon showed the true power of these bits, however, by putting them into a mathematical framework.
In principle, strings can unite all the forces of nature, including gravity, in a single mathematical framework.
Mr. Ito's mathematical framework for describing the evolution of random phenomena came to be known as the Ito Calculus.
String theorists believed that this basic component allowed them to fit all the forces of nature into a single mathematical framework.
He formulated the theory of lubrication (1886) and in 1889 developed the standard mathematical framework used in turbulence work.
A joint mathematical framework is thus missing.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com