We focus is on problems motivated by several application areas that share a common underlying mathematical framework including underwater robotics, space telerobotics, and medical robotics.
The mathematical framework includes, as planning criteria, minimizing a measure of territory dispersion, balancing the different node activity measures among territories and territory contiguity.
Methods: The mathematical framework includes descriptions of the needle, the resulting potential field, and the active nerve fiber.
In this paper, we have successfully extended this mathematical framework to include second-order homogenization theories that make predictions of the effective properties utilizing two-point spatial correlations in the microstructure.
Equilibrium problems (in short, EP) by Blum and Oettli [1] provide a mathematical framework which includes optimization, variational inequalities, fixed point and saddle point problems and noncooperative games as particular cases.
It is in applying the unified mathematical framework that includes the thermodynamic perspective to these processes that we believe the most significant contributions will be made.
We describe the mathematical properties of the new framework, including goodness-of-fit and identification and we illustrate how to apply the framework with three empirical examples.
The mathematical approach would allow to interpret these data within a formal framework including all actors in play, i.e. cycling, quiescent and resistant cell subpopulations.
It first discusses research concerning the nature of mathematical giftedness, including theoretical frameworks and methodologies that are helpful in identifying and/or creating mathematically gifted students, which is described in this section.
