Sentence examples for before the existence from inspiring English sources

The reduced problem reveals, as before, the existence of three stable node equilibria, one on each branch of the critical manifold.

Proceeding as before, the existence and uniqueness of a common fixed points can be shown under some supplementary conditions, as stated in the following theorem.

In all the papers cited before, the existence of periodic solutions for ε ≥ 0 small is a consequence of the application of a convenient version of the implicit function theorem.

As before, the existence and uniqueness of a globally attractive equilibrium point is guaranteed if Assumption 3.1 is verified for p ≤ 1 2 ∥ v ∥ 1 3 + 1 ; see Theorem B.9.

It is becoming feasible to choose study species on the basis of their ecological suitability for answering specific biological questions, rather than, as before, the existence of genomic resources.

The Bayesian prevalence calculations proved what was suggested by observations before: the existence of cases of BSE is highly unlikely in the small ruminants' population and both atypical and classical scrapie is present on a very low level.

Anti-Semitism existed before the existence of Israel".

However, these "unified theories" such as string theory are truly in their infancy; it will be a long, long time before the existence of multiple Universes can be addressed quantitatively.

The skepticism that dogs photography these days took root long before the existence of digital intervention.

It is 23 years since the Conservatives last won a majority: an age before the existence of the Premier League, Oasis's first album, and Friends.

The concept of testosterone imprinting was developed before the existence of gonadal protein hormones was known, when imprinting was the only apparent possibility for explaining the importance of the gonads.