Sentence examples for exist a map from inspiring English sources

Suppose that is a mapping with for which there exist a map and such that (3.16).

Suppose that is a mapping with for which there exist a map and a function such that (3.1).

Let be a mapping with for which there exist a map and a function such that (3.27).

But by definition of union, F ⊆ U; hence there would exist a map of U onto F and a contradiction could be derived by diagonalization.

A mapping is said to be relaxed - monotone if there exist a mapping and a function positively homogeneous of degree, that is, for all and such that (1.9).

Whereas it cannot be excluded that some other epitopes might exist, a mapping study showed that anti-HMGCR aAbs recognize the catalytic C-domain of HMGCR, but do not react with the N-terminal domain of the protein [ 15].

Also two mappings are called generalized -weak contractions if there exists a map with and for all such that.

Two mappings are called generalized -weak contractive if there exists a map with and for all such that (2.2). for all.

Assume that there exists a map such that (1.3).

Suppose that is a mapping with for which there exists a map such that (3.17).

A mapping is said to be -weak contractive if there exists a map with and for all such that.