Sentence examples for map f in from inspiring English sources

A map f in ((Delta X)^o) is special resp.

Say that a map f in (mathsf{G}(L,M,q)) is in C resp.

Furthermore, for any map f in (Delta _flat X) that is vertical resp.

A map f in ((Delta _flat X)^perp ) is special resp.

Let the map F in the case γ = 0 be denoted by F | γ = 0.

It is clear that the map F in system (3.1) is continuously differentiable in R k + 1.

In this part we study some particular forms of the mapping f in (1).

Remark 3.3 We obtain that the mapping F in Example 3.1 has a coupled fixed point.

In essence, the mapping f in [[11], Example 2] fails to be a φ - G -contraction for any φ ∈ Φ.

Note that what the underlying mapping F in (1) reflects is deterministic, i.e., it does not involve uncertainties.

The class W of maps f in ({mathcal {D}}) whose cone ({text {Cone}}(f)) lies in ({mathcal {D}}_0) is saturated in the sense of Definition 2.2.