Sentence examples for this implies the existence from inspiring English sources

Since ((lambda _{n,k})_{k}in[b_{c}^{a,b}(B^{(m)})]^{ beta}) for all (ninmathbb {N}), this implies the existence of the Λ-transform of x, i.e. Λx exists.

Everything in the world stars, faces, animals, landscapes has a meaning, and Benjamin accepts that this implies the existence of a cosmic author.

Everything in the world — stars, faces, animals, landscapes — has a meaning, and Benjamin accepts that this implies the existence of a cosmic author.

This implies the existence of positive numbers such that (2.23).

This implies the existence of oxygen vacancies in TiO2 layer.

This implies the existence of such that (5.7).

This implied the existence of a new type of crosstalk between two phosphorylation systems, namely one in which a presently unknown serine kinase would phosphorylate the two-component sensory histidine kinase.

If we assume that primary glass production centres were commonly located close to the silica source, this further implies the existence of more than one glass making factory that used this mineral source of soda and that supplied glass to Pergamon (and possibly Aphrodisias and Sardis).

This result implies the existence of a diffusion process.

Carried to its logical limit, this primitivism implies the existence of a natural goodness with which human beings ought to become attuned.

This condition implies the existence of large overhead (long guard time intervals) for extremely severe channel conditions.