Sentence examples for mean a map from inspiring English sources

By a fuzzy subset A of X, we mean a map from X to the interval [ 0, 1 ], A : X → [ 0, 1 ].

By a measure of weak noncompactness, we mean a map μ : Ω E → R + satisfying the properties (1 - 8) quoted above.

By a generalized metric space on X, we mean a map (d: Xtimes Xtomathbb{R}^{n}) with the following properties: (i) (d u,v geq0) for all (u,vin X); if (d u,v =0), then (u=v);   (ii) (d u,v =d v,u)) for all (u,vin X);   (iii) (d u,v leq d u,w +d w,v)) for all (u,v,win X).  .

By a vector-valued metric on X, we mean a map (d: Xtimes Xtomathbb{R}^{k}) with the following properties: (i) (d u,v geq0) for all (u,vin X); if (d u,v =0) then (u=v);   (ii) (d u,v =d v,u)) for all (u,vin X);   (iii) (d u,v leq d u,w +d w,v)) for all (u,v,win X).  .

In the case of working children this may mean a map of a whole city.

By a conditional cubic mapping, we mean a mapping f : ℕ ∪ {0} → X such that (1) holds whenever x ≥ 2y.

By a fuzzy subset of a nonempty set X we mean a mapping from X to the unit interval [ 0, 1 ].

By a positive solution to (1.1) we mean a mapping with positive components on such that (1.1) is satisfied.

By a positive solution for the fractional q-difference system (1.1) we mean a mapping with positive components on [ 0, 1 ] such that (1.1) is satisfied.

"You have to have very clear definitions," Mr. Lichtenberg said, "things like 'this means a photograph,'thisis means a map.' " Most of the progress so far has come from the realm of education and research.

We understand by mean a binary map m between positive real numbers satisfying the following statements.