Sentence examples for consider the time scale from inspiring English sources

For example, consider the time scale with.

Let (mathbb{T}) be a regulated time scale, (a,b inmathbb{T}), and consider the time scale ([a,b]_{mathbb{T}}) such that (sigma(a)=a).

Now we consider the time scale T = { n 2 : n ∈ Z ≥ 0 } with the graininess function μ ( t ) = 1 / 2, t ∈ T. So A is nonregressive and the matrix exponential function e A ( t, 0 ) does not exist.

Let (a,bin mathbb{T}), consider the time scale ([ a,b ] _{ mathbb{T}}) and a function (rin C_{mathrm{ld}}^{1} ( [ a,b ] _{ mathbb{T}}, mathbb{R} ) ) with (r^{nabla}(t geq 0).

(1) If we consider the time scale (mathbb{T}^{a}_{ q,h)}) with (v_{0}) replaced by v, then the integration over ([frac{h}{1-q},t]) yields the definition of the nabla ((q,h -integral in the form int^{v}_{h/(1-q)}phi(u)nabla_{(q,h -integralinl(1-q^{-1}bigr)v+q^{-1}hbigr)sum ^{infthe}_{k=0}q^{-k}phibigl(q^{-k}v+[-k]_{q}h bigr), provided that the informte serint^{v}verges.

If has a left-scattered minimum, then otherwise Here we consider the time scales with and.

Throughout this paper, we consider the time scales which are unbounded from above and have a minimum point.

This can be seen by considering the time scale and the Lyapunov transformation: (3.25).

The primary concern of controlled morphology for nanopatterning is to develop ordered microphase-separated morphology by considering the time scale for segregation, namely segregation strength during solvent evaporation.

We focus on the process of spike adding and take advantage of the difference in time scales in Section 3, where it suffices to consider the time-scale separation between the three fast variables V m SI and m FO, and the two slow variables m SO and h SI.

Compared with the other nonlinear observers without considering the time scales, the proposed observer demonstrates faster convergence and more accurate properties.