Sentence examples for mappings and define from inspiring English sources

Let be a finite family of nonexpansive mappings and, define the mappings (1.5).

For each potential guide protein, we retrieve all refined contig mappings and define regions of the guide protein into which the contigs cluster (Fig. 2).

Now we introduce the following bilinear mappings and defined on as.

By means of (3.7) we introduce the mappings and defined by (3.8).

Two pairs of self mappings and defined on a fuzzy metric space are said to share common property (E.A).

Further, we studied some properties of ( A, η ) -accretive mappings and defined the resolvent operators associated with ( A, η ) -accretive mappings which include the existing resolvent operators as special cases.

In recent years, Huang and Fang [11] introduced the concept of generalized m-accretive mapping, studied the properties of the resolvent operator with the generalized m-accretive mapping; and furthermore, Huang and Fang [12] studied a class of generalized monotone mappings, maximal η-monotone mappings, and defined an associated resolvent operator in 2003.

In the setting of Example 2.2, retain the same mappings and and define as with.

Indeed, a transformation provides both structural and instance mappings that formally define how to modify database structures and contents.

We show that the mappings and, respectively, defined by and, are additive and cubic, respectively.

The mappings, and are defined and it is proved that if (resp., is dominated by then is a generalized (resp., linear) module- left derivation and is a (resp., linear) module- left derivation.