Sentence examples for perturbation i from inspiring English sources

Scale-free networks are extremely sensitive to removal of targeted hubs (i.e., attack vulnerability [ 11, 12, 32]), so we summed the degree of perturbation (i.e., connectivity) of each node in the cancer-perturbed network (Supplementary Tables 2 and 3) to obtain these perturbed hubs.

Using weighted Sobolev space techniques and noticing the gauge invariance of the perturbation, I show that the magnetic field first appears at a higher term in the small time asymptotic expansion of the trace of the heat kernel than might be naively expected.

In this paper, we consider the discrete Klein-Gordon-Schrödinger system with a small random perturbation, i ( d u j d t + α u j ) − ( A u ) j + u j v j = f j ( t ) + ε a j u j d w j 1 d t, d 2 v j d t 2 + ( A v ) j + μ d v j d t + v j − | u j | 2 = g j ( t ) + ε b j d w j 2 d t, (1.1).

The effect of dynamic perturbation (i.e., irrationality of the SUs) in the competitive pricing scheme is examined in [16].

Noise data are generated by adding random perturbation, i.e., g^{delta}=g+varepsilonbigl operatorname{rand}bigl( operatorname{size}(g bigr bigr).

In this issue, two papers describe the methods of voice quality analysis based on frequency and amplitude perturbation (i.e., jitter and shimmer) and noise measurements.

Even minor perturbations (i.e., environmental noise) can produce a stress response.

In Section 2, we derive the equivalent system for the perturbations, i.e., the linearized system for system (1.5).

As we have seen, on Herbart's view, representations are the perturbations, i.e., the individual or atomic representings that present as pictures the real objects that, through the senses, disturb the simple, continuous representing that is consciousness (PsW: 135).

However, in the presence of RIR perturbations, i.e., (hat {mathbf {H}} neq mathbf {H}), this filter typically fails to achieve perfect dereverberation, i.e., WHgLS≠Wcd, possibly even causing severe distortions in the output signal [24, 26].

On the other hand, it can be shown that a function f preserves trace class perturbations, i.e., begin{aligned} A-Bin {varvec{S}}_1quad Longrightarrow quad f(A -f B in {varvec{S}}_1 end{aligned} (1.6.2 if and only if f is operator Lipschitz (the operators A and B do not have to be bounded).