Based on the famous finite-time stability theorem of nonlinear systems and nonsmooth analysis in mathematics, sufficient conditions are established to ensure the finite-time stability of the dynamics of NNs.
In this section, we describe the data sources we drew upon and analyses we conducted to answer the two research questions that were central to the Design Phase of this design-based implementation research: how we adapted the PSC and TLP models to support the district goals for implementing their new CCSS mathematics curriculum and conditions that shaped the adaptations.
Alternatively, counterbalancing instructors who are blind to the research hypotheses across groups that are randomly assigned to mental mathematics and control conditions would be a more stringent test of causality, but would greatly reduce the ecological validity of such a study.
From the viewpoint of theory and practice, it is natural for mathematics to combine impulsive conditions and nonlocal conditions.
(Burke) Skybetter and Associates (Sunday) Sydney Skybetter's choreographic investigations of literature, music, mathematics and the human condition include a preview of the new "For Want of Sleep".
This problem was fixed2 by allowing some relative movement between doublets at the base of the cilium (stiffness of the base enters the mathematics as a boundary condition), leading to the interesting prediction that cells might control beat direction by regulating the stiffness of inter-doublet links at the cilium base.
Putting aside the question of how we use "trivial" as a community, we wish to focus on what is essential in this anecdote: understanding the underlying mathematics is a necessary condition for the mathematician to continue.
Any suggestions?" It is well known in mathematics that the boundary conditions selected constrain the results that can be achieved from an analysis, and the same thing is true of one's initial premises in logic.
By using Lyapunov functional method, LMI method and mathematics induction, some sufficient conditions are derived for the globally exponential stability of the equilibrium point of the neural networks in mean square.
Cournot, a professor of Mathematics, developed a mathematical treatment in 1838 for duopoly a market condition defined by competition between two sellers.
