We describe the considered mathematical framework in Section 2, where we adopt a state-space representation of the processes.
All of the computational algorithms and results are presented for a nontrivial exactly solvable model and are described within a mathematical framework of error analysis where analytic, sampling, and discretization errors are treated separately.
The basic advantage of the double-decomposition concept is that it serves as a mathematical framework for the analysis of flows where, within the fluid phase, there is enough room for turbulence to be established.
Markov decision process (MDP) provides a mathematical framework for modeling decision-making in situations where outcomes are partly random and partly under the control of a decision maker.
We study a three-dimensional (3D) liquid crystal elastomer (LCE) in the context of Finsler geometry (FG) modeling, where FG is a mathematical framework for describing anisotropic phenomena.
It was shown that the SVD provides a mathematical framework for the modeling of DNA microarray data, where the mathematical variables and operations represent biological reality [32]: The variables, significant patterns uncovered in the data, correlate with activities of cellular elements, such as regulators or transcription factors.
For that purpose, we have developed a mathematical framework in which communication networks are modeled as physical systems, where their entities exchange electromagnetic energy.
The mathematical framework used in this paper is based on algebraic geometry where the forward kinematic problem is explored in a seven-dimensional kinematic space by the means of the so-called Study parameters.
For instance, studies in [31, 32] present mathematical framework to model the interaction of energy trading in a V2V scenario, where the groups of EVs determine the amount of energy to exchange and negotiate on unit price.
The Rudin-Osher-Fatemi TV denoising procedure fits into a framework where greyscale images will be modeled by "continuous" rather than by "discrete" mathematical objects.
