Sentence examples for exist values of the from inspiring English sources

As the resonances are not separated much in frequency, there may exist values of the mean motion of the asteroid where both θ and θ′ would be angles of libration if either resonance existed in the absence of the other.

Finally we are able to show that there exist values of the inner radius R for which ω is an eigenvalue of (16).

It is shown that there exist critical values of the pit density for the explosive growth of metastable pits that leads to a transition to pitting corrosion.

For any realization of channel matrix, there exist unique values of the Lagrange dual variables and for any Nash equilibrium of the game.

There exists two values of the critical gas turbine efficiency.

Fig. 5 thus shows all paired values of βF and εF for which there exists concomitant values of the parameters βM and εM, such that the observed data are a plausible outcome of the model.

The full results of the analyses of precision are provided in Additional file 2. Although small discrepancies existed, precision values of the AIC were generally higher than those of the other three in the 14 simulations.

Finally, this theoretical discussion remains meaningless unless reasonably sized patterns can be shown to exist for realistic values of the reaction rates and of the free diffusivities.

If a difference exists, another value of the missing initial condition must be assumed and the process is repeated.

Regions of quasi-periodic and intermittent behaviour also exist for some values of the bifurcation parameter.

It is shown that physically meaningful solutions do not exist for some values of the agglomeration parameter.