Sentence examples for varying denoted from inspiring English sources

Otherwise, the function (g(t)) is called a nontrivial slowly varying, denoted by (g(t)in mbox{ntr-}mathrm{SV}), and the function (f(t)) is called a nontrivial regularly varying of index ρ, denoted by (f(t)in mbox{ntr-RV}(rho) ).

If, in particular, the function (g(t)rightarrow k>0) as (ttoinfty ), it is called a trivial slowly varying, denoted by (g(t)in mbox{tr-}mathrm{SV}), and the function (f(t) ) is called a trivial regularly varying of index ρ, denoted by (f(t)in mbox{tr-RV}(rho) ).

Note that due to its adaptive nature, the filter coefficients are time-varying, denoted by letter.

Since λ v(h) and λ d(h) vary over the day, the state probabilities will also be time varying functions, denoted as P n,m (h).

We say a distribution G on ([0,+infty)) has a regularly varying tail, denoted by (G inmathcal{R}_{-alpha}), if (bar{G}(x)>0) for all (x geq0) and there exists some (alpha>0) such that the relation lim_{x rightarrowinfty} {frac{bar{G} xy)}{bar {G}(x)}}=y^{-alpha} holds for each (y>0). It is well known that (mathcal{R}_{-alpha} subsetmathcal{S} subsetmathcal{L}).

Let us define a time-varying threshold denoted by η[ n] such that |e[ n] | is restrained lower than it, i.e., |e[ n] | < η[ n].

The phase parameter depends on the time-varying frequency denoted ω(t) which corresponds to its instantaneous first derivative: ω ( t ) = d ϕ dt ( t ).

Once the TVAR parameters are estimated, the corresponding time-varying poles, denoted by {ξ k [ m], k = 1, …, M}, are obtained by applying the Z-transform of (8) with respect to n.

Slowly varying control signal denotes that there is no sudden or fast change in the control effort which causes a wear and tear effect in the actuators and shortens the life cycle of the relevant hardware.

Finally, Figure6d shows the performance of descriptors against varying noise levels, denoting that CMR s of all descriptors increase as SNR increases, and R-histogram is most robust to noise.

The resume audit methodology allows us to strictly control aspects of job candidates' productivity experimentally while varying their ethnicity (as denoted by ethnically differentiated names)1.