Sentence examples for all trajectories of from inspiring English sources
Let us assume that all trajectories of solutions to a non-impulsive ordinary differential equation are known.
In the case of set-valued mappings, we do not have convergence of all trajectories of the dynamical system induced by the given mapping.
Notice how all trajectories of a given tissue start from the thermal equilibrium ((overrightarrow {M_{0}}) = (0, 0, 1)) and reach the same final magnetization state despite important trajectory disparities.
So all trajectories of (3.3) approach the positive periodic solution with period, where,, The dynamical behaviors of system (3.3) also can be shown from Figure 1. Figure 1 Dynamical behavior of system (3. 3) with,,,,,,, (a) time-series of, (b) time-series of, (c) The phase portrait of (3.3).
Suppose that if for any initial state (x s)=(x_{1}^{T}(s),x_{2}^{T}(s),ldots,x_{N}^{T}(s))^{T}) with (x_{i}(s)in [4] C [-tau,0],mathbb{R})), (i=1,2,ldots,N), there exists a solution (s(t)) for any initial C [-tau,0] then all trajectories of network nodes fulfill (lim_{trightarrowinfty} Vert x_{i}(t)-s(t) Vert =0),mathbb{R}dots,N).
But more than the integrative model all respondents emphasized the relevance of public knowledge for all trajectories of the process.
That is the over-all trajectory of our allegory: man in contact with sin, man rejecting sin, man purifying himself, man returning to his Maker.
Finally, a record linkage study in Sweden, using a multisource approach of all trajectories to a diagnosis of an autism spectrum disorder in Stockholm county, reported that 2.5% of all teenagers had received a clinical diagnosis of autism spectrum disorder.
Theorem 2.2 All the trajectories of the equation (3) are ultimately bounded by the same constant R (see the proof) if I ≡ max t ∈ R + ∥ I ext ( t ) ∥ F < ∞.
We combined data from all trajectories for each of these three segments separately and analyzed their respective displacement distributions and mean square displacements (MSDs).
We then combined all the three trajectories of FBP21-WWs to perform principal component analysis (PCA).
