Sentence examples for map dominated by from inspiring English sources

We claim that T is a Caristi-type cyclic map dominated by f and φ, but not a Caristi-type cyclic map dominated by f.

Hence T is a Caristi-type cyclic map dominated by f and φ.

So, T is a Caristi-type cyclic map dominated by f and φ.

Then there exist a bounded below function f : A ∪ B → R and a nondecreasing function φ : R → ( 0, + ∞ ) such that T is a Caristi-type cyclic map dominated by f and φ.

Suppose that φ : R → ( 0, + ∞ ) is a nondecreasing function and f : A ∪ B → ( − ∞, + ∞ ] is a proper function that is bounded below. Let u ∈ A with f ( u ) < + ∞ and T : A ∪ B → A ∪ B be a Caristi-type cyclic map dominated by f and φ.

So (3.5) implies d ( x, T x ) − dist ( A, B ) ≤ φ ( f ( x ) ) ( f ( x ) − f ( T x ) ) for all  x ∈ A ∪ B = M. Hence T a Caristi-type cyclic map dominated by f and φ on A ∪ B. Since f is proper, there exists u ∈ M = A ∪ B such that f ( u ) < + ∞.

America in 2016 will be the same America that voted twice for Obama through electoral maps dominated by blue ink.

Peng et al. [20] proved some Hahn-Banach theorems in which a linear map or an affine map is dominated by a -set-valued map.

Chen and Wang [19] proved a Hahn-Banach theorems in which a linear map is dominated by a -set-valued map.

Peng et al. [21] also proved a Hahn-Banach theorem in which an affine-like set-valued map is dominated by a -set-valued map.

The red circles show where predicted values are included. In the first case, for TriNet stations, the map is dominated by the data and is very similar to the previous map.