Sentence examples for map then the from inspiring English sources

If g is the identity map, then the following result is directly obtained by Corollary 3.9.

Let be a set-valued map, then the domain of is (2.2). the graph of is a set in : (2.3).

If were homotopic to a map, then the homotopy would lift to cover by a map which sends to a single -sphere in.

Thus, when the MN roams in the same MAP domain, it only needs to update the MAP, then the address of the MNs in this case is LCoA.

In particular, if we take a constant map then the map is weakly contractive (in short, -contractive) [8], and further if we take then we obtain and is contractive [3].

We note that if (mathfrak {A}=mathbb {C}) and (varphi) is the identity map, then the module ((phi,varphi ))-inner amenability and module character inner amenability coincide with (phi -inner amenability and character inner amenability (see [8] and [6]).

If it is important in putting French horse racing back on the map, then those who promote the sport there will be cheered by one anecdote.

(ii)if is a -strictly pseudocontractive mapping, then the mapping is demiclosed at ).

If (:the zero mapping), then the problem (1.7) is reduced to the equilibrium problem: (1.9).

(V) If, and is a univariate mapping, then the problem (1.6) reduces to the following problem.  .

If, and is a univariate mapping, then the problem (1.6) reduces to the following problem.