Sentence examples for mappings be defined from inspiring English sources

Let the mappings ;,, be defined by (3.4).

Let the mappings ;,, be defined by (3.4) If ;,, with ;, there is which is unique if is complete.

Let the mappings be defined by and for Then is clearly a homeomorphism and for an arbitrary countable subset of and, (3.46).

Then a mapping m∈?? (with 𝕄 as the set of all mappings) is defined as the tuple By this definition, a mapping m represents a combination of measurements together with its metadata and a set of attributes.

These mappings are defined as follows.

The transformation from PIM to PSM could be done automatically if necessary mappings are defined.

In [9], monotone nonexpansive mappings are defined in (L_{1}[0,1]).

The notion of (alpha - psi) contractive mappings is defined in a complete metric space in [8].

Also some useful mappings are defined connected to this inequality see in [4 6].

These classes of mappings are defined for multi-valued mappings in complete metric spaces endowed with directed graphs.

The concepts of weak and φ-weak contractive mappings were defined by Daffer and Kaneko [5] in 1995.