Sentence examples for maps then the from inspiring English sources

In Theorem 3.3, when A is a commutating family of single-valued maps, then the convexity assumption on A is actually the affine condition.

In particular, if T i and S i - in algorithm (3.1) - are two finite families of nonexpansive maps, then the following result holds.

If a hectare of forest land in the US was categorized as disturbed between 2006 and 2010 based on the disturbance maps, then the intensity and type of disturbance was identified.

If (xicolonOmegato X) and (varphicolonOmegatimes Xmultimap Y) are two measurable maps, then the map (widehat{varphi}colonOmegatimes Xmultimap Y), (widehat{varphi} omega,x =varphi omega,xi omega))) is measurable, too.

If one sequence uniquely maps, then the other sequence can be considered to uniquely map as well.

Once they had updated the maps then the enumeration area was divided into segments of 80 people and one of the segments was chosen at random as the one to be sampled (e.g. if the population size of the enumeration area was 400 people then it would be divided into five segments).

(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.

If in Theorem 3.9 is the identity mapping, then the following result is immediate.