Sentence examples for implied existence from inspiring English sources

These expression patterns implied existence of a tripartite configuration of the lamprey telencephalon similar to that in gnathostomes.

While Agmon did not discuss scattering in his announcement, Lavine [417] noted that his estimates and Lavine's theory of local smoothness implied existence and completeness of wave operators (and later, both Agmon and Hörmander presented other approaches to get completeness).

The escape times analysis implies existence of lower dimensional dynamics around the perfect synchronization.

An EDF is a special type of EBIBD, so existence of an EDF implies existence of an EBIBD.

The paper contains a convergence proof that implies existence and uniqueness of the outcome of the iterated thought process.

Presence of two absorption edges in UV spectra implies existence of separate phases rather than composite formation.

Completeness of implies existence of such that.

This theory uses a quantifier "∃", which does not imply existence.

Smoothness also implies existence and completeness of wave operators.

In particular, it implies that symmetric conditions which imply existence also imply completeness.

Obviously, this implies existence of an infinite number of normal compression lines for a sand [21, 22].