Sentence examples for case the existence of from inspiring English sources

Theorem 6 When R 0 > 1, a unique positive endemic equilibrium exists for reduced system (4 ), In other case the existence of disease-free equilibrium.

When R0 > 1, a unique positive endemic equilibrium exists for reduced system (4), In other case the existence of disease-free equilibrium.

In that case, the existence of the Higgs boson looks doubtful.

In my own case, the existence of Sadler's Wells has been an incentive to complete Peter Grimes: the qualities of the Opera Company have considerably influenced both the shape and the characterization of the opera.

In fact, in this case the existence of the innermost core cannot be guaranteed.

In this case, the existence of a fixed point follows again from Theorem 2.18.

For such cases, the existence of equilibrium cannot be verified by the existing results in the context of games with strategic complementarities.

In all cases, the existence of bureaucratic systems of regulation and enforcement is perplexing to pastoralists.

In both cases, the existence of a solution is guaranteed from a monotone iterative technique.

So in both cases the existence of a classification scheme can cause changes to the extension of the kinds in question.

These latter, performed at room temperature, showed in both cases, the existence of a large domain where the phases characteristic of each pure component coexist.