Sentence examples for range of existence from inspiring English sources

Remark 3.3 The functions I ( N ) and 1 / N are depicted in Figure 1for the case V 0 ( N ) = b N and a ( N ) = a 0 illustrating the main result: steady states exist for small b and do not exist for large b while there is an intermediate range of existence of two stationary states.

Their range of existence has been shown to depend on the symmetry and geometric features of the network.

The stress/temperature phase diagram was established within the range of existence of γ′1 and β′1.

The range of existence of the different stratified distributions as predicted by the indicator is in close agreement with the maps reported in literature.

First, the number of components involved in the data set and the range of existence of intermediate species were determined by Principal Component Analysis (PCA).

Identifying the onset conditions and the range of existence of these regimes could greatly improve the rational design of geometry and operating conditions of micro and ordinary lengthscale continuous reactors operating under laminar flow conditions.

The data of the present study allowed the establishment of a non-equilibrium phase diagram which shows ranges of existence of phases as a function of the cooling rate on solidification the quiescent liquid and the concentration on 1-butene co-units.

Neglecting the damping, we have analyzed this dielectric function applying conditions described in [8] and found spectral ranges of existence of the "real" (type 1) and "virtual" (type 2) PSP in ZnGeP2 at 4 and 300 K, which are shown in Table 2.

Considering such wide ranges of existence, the gut microbiota of the Russian population is of significant scientific interest for extending our view of global microbiota diversity.

They have favorable physical properties, such as negligible volatility and wide range of liquid existence.

They have favorable physical properties, such as negligible volatility and a wide range of liquid existence.