Sentence examples for maps are compatible from inspiring English sources

Jungck [4] coined the term compatible mappings to generalize the concept of weak commutativity and showed that weakly commuting maps are compatible but the converse is not true.

However, the maps are compatible.

As commuting maps are compatible, we obtain the following; Theorem 3.3.

Clearly, subcompatible maps are compatible but the converse does not hold, in general, as the following example shows.

Clearly, R-subweakly commuting maps are compatible but the converse assertion is not necessarily true (see [31], Example 15).

Jungck [3] generalized the concept of weak commutativity and showed that weakly commuting maps are compatible but the converse is not true.

The order and orientation of all 38 scaffolds arranged by optical mapping are compatible with FISH results, while the arrangement of only 22 of these 38 scaffolds are compatible with map-based results (Table S5).

Reflectance mapping is compatible with simultaneous Raman mapping.

Because of this, it is demonstrated that the obtained mapping is compatible with the method of Abelian reduction.

If preserves but does not necessarily render holomorphic, we shall say that (or the map ) is compatible with.

We shall say that a twistor lift of a conformal to first order map is compatible to first order (with ) if (4.11).