A general mathematical framework has been derived for coupled transport with a single reversible reaction.
A detailed mathematical framework has been formulated for close form expression of SNR that is used to compare the system performance.
Indeed, this mathematical framework has a unique capability to analyze such big data in a hierarchical fashion by extracting its topological structure as a higher layer over the entire data.
This powerful mathematical framework has gained momentum in recent years as the only available tool that provides a rigorous approach for modeling, design and analysis of a multi-tier network topologies [1, 4, 28 30, 33, 35, 55, 72, 79 85].
Moreover, for each type of model, a suitable mathematical framework has to be developed in order to study the performance and limitations of reverse engineering methods.
Within the proposed framework, a mathematical model has been developed that takes into account greenhouse gas (GHG) emissions resulting from use of transportation fuel, energy, water and construction materials used at all stages of the mega-event project.
To circumvent these difficulties and to direct further experimental investigations, a mathematical modelling framework has been developed in this study based on the Krogh cylinder assumption.
He poses the question: Does the mathematical framework he has erected provide an adequate representation of physical or temporal continuity as it is actually experienced?
Two facets of the nature of mathematical objects within a categorical framework have to be emphasized.
Several mathematical frameworks, including mathematical programming, have been proposed to incorporate equity considerations into resource allocation in the public sector [ 25- 29].
