Sentence examples for existence region from inspiring English sources

Calculations are made at high temperature T=255 K exceeding the existence region of hysteresis.

Also, the pressure stability range of Iso-Col h co existence region appears to be strongly reduced with respect to the heating sequence.

From the results it can be seen that the existence region for the 1/3 subharmonic resonance is reduced and the amplitude of the subharmonic resonance is dropped with the flow velocity increasing.

Furthermore, we have from Theorems 3.2 and 3.3 that, in the existence region of the positive equilibrium (E ^), both the boundary equilibrium (E_{1}) and the boundary equilibrium (E_{2}) are asymptotically stable, i.e., the region is a bistable region.

Moreover, we see that simply by tuning the local dynamics to be deeper within the existence region for oscillatory solutions we can, at least for this model, enhance the degree of FC.

To perform a parametric investigation on the existence region of solitary wave solution we repeated Fig. 1 in spaces of (κ p, l ξ ), (κ e, l ξ ), (σ i, l ξ ), and (U ,l ξ ), in Fig. 2a d, respectively.

Figure 1 gives existence regions of the equilibria (E_{0}), (E_{1}), and (E_{2}), and (E^).

We can see that the value of (R_{0}) and (R_{1}) are significant to the existence of equilibria, for intuit, we divide the (frac{1}{8}) plane ((R_{0}>R_{1}>0)) of existence regions for the equilibria into three parts as in Figure 1. Figure 1 Regions of equilibria existence in (pmb{(R_{0}, R_{1})}) plane.

Based on the sampling ranges of parameters, dynamics of the system is studied with emphasis on the influence of system parameters on impact velocities, existence regions and correlative distribution of single-impact periodic motions by multi-parameter and multi-performance co-simulation analysis.

We develop quality control charts for attributes using the maxima nomination sampling (MNS) method and compare them with the usual control charts based on simple random sampling (SRS) method, using average run length (ARL) performance, the required sample size in detecting quality improvement, and non-existence region for control limits.

Together with work on Alk (Cheng et al., 2011), our study reveals the existence of region specific mechanisms for brain sparing and suggests possible cellular and molecular routes by which early nutrient restriction may affect mammalian brain development and growth.