Sentence examples for domain of a map from inspiring English sources

The domain of a map is defined (as its projection onto the first argument) by (2.1).

The domain of a mapping A is defined by the set { x ∈ E : A x ≠ 0 }.

We denote by and the set of fixed points and the domain of a mapping respectively.

If, however, the domain of a mapping is a proper subset of E (and this is the case in several applications) and if it maps K into E, this iteration method may not be well defined.

If, however, the domain of a mapping is a proper subset of E (and this is the case in several applications), and it maps K into E, this iteration method may not be well defined.

The domain of a multivalued map ℜ: X → Y is the set domℜ = {z ∈ X; ℜ z) ≠ ∅}.

The domain of a multivalued map is the set Dom( has closed values if is a closed subset of for each and we write.

end{aligned} We recall that the dimension of the domain of a linear map between two spaces is given by the sum of the dimension of the null space and the rank of this linear map.

The domain of a set-valued mapping W X X → 2 Y is defined as D ( W ) = { x ∈ X : W ( x ) ≠ ∅ } and its graph is defined as Graph ( W ) = { ( x, z ) ∈ X × Y : z ∈ W ( x ) }. Also W is said to be closed if its graph, that is, Graph ( W ), is a closed subset of X × Y.

In particular, The Scenario Viewer provides a graphical representation of the application domain through a map containing all the facilities (landing gates, storage areas, roads etc).

To test this speculation, the PUM2-binding domain of Aurora-A was mapped by co-immunoprecipitation assay using anti-HA antibody.