In particular, a formula consisting of a predicate whose argument is a non-singular constant is true just in case the constant is interpreted as one or more individuals that jointly satisfy the predicate (cf. Linnebo 2012[20]).
If h, g are positive constants, the singular term can be regarded as a generalized Lennard-Jones force or van der Waals attraction/repulsion force and it is widely used in molecular dynamics to model the interaction between atomic particles (see, for instance, [14, 15] and the references therein).
For this reason, this paper will give the explicit relation between the singular point quantities and Liapunov constants of the origin of system (1).
In Section 3, the relation between the singular point quantities and Liapunov constants is investigated, and their algebraic equivalence is proved rigorously.
By computing the singular point quantities and generalized period constants, we obtain, respectively, the integrable and linearizable necessary conditions for this class of systems.
The SVD analysis shown in figure 3 has clearly indicated that not only 3 singular values are sufficient to reconstruct the majority of the signal present in the data, but also that three time constants satisfactorily fit the singular value's corresponding left singular vectors.
This phenomenon differs from that of boundary singular metrics which have flat scalar curvature and constant mean curvature, where the singular set contains at least two points.
By contrast, non-singular or plural logic possesses singular and non-singular constants and variables.
As the electrical time constant is much smaller than the mechanical time constant, the singularly perturbed system can be obtained by the singular perturbation theory.
First, it lived up to its promise of "spanning the globe to bring you the constant variety of sport" (a classy touch, the singular noun).
