Sentence examples for map defined in from inspiring English sources

Let F be the associated multivalued map defined in (3.3).

then the map defined in is a contraction.

Let be the map defined in the previous theorem.

The versus the parameter p for the modified Bernoulli map defined in (2) is given in Fig. 12.

If (tau>0) and (A_{0}leq0), then for the Poincaré map defined in the phase set there exists a unique fixed point (y^in Y_{D}^{0}).

Assume further that U is chosen according to Definition  3.3 and (varphi_{U} colon U multimap U) be a map defined in (3.4).

The second part is an analogy to the Haldane map function defined in hidden Markov model [18].

Then the mapping defined in (2.2) is the least Carathéodory solution of (1.1) and the mapping defined in (2.3) is the greatest one.

Let Ψ, Φ and (F_{varepsilon}) be the maps defined in (3.3) and (3.4).

where E is the end-point mapping defined in Definition 1.

Recall the definition of a nonexpansive mapping defined in metric spaces.