Sentence examples for maps defined by from inspiring English sources
Next, for, we denote by the maps defined by (3.7).
Hence, the set of maps defined by finite Mealy automata coincides with the set of maps defined by finite Moore automata.
In what follows, we apply our results to maps defined by Lebesgue integrals.
For example, Asada-Fujiwara [1] established this boundedness based on the global invertibility of maps defined by phase functions which are smooth everywhere.
From the fluorescence spectra of batters and frankfurters, the similarity maps defined by principal components 1 and 2 allowed clear discrimination between formulations with a high fat content from those of low fat content, whereas formulations with an intermediate fat content overlapped.
The continuity of D u then follows by showing that it can be obtained as the locally uniform limit of the net of continuous maps defined by x → ( D u ) B ( x, ϱ ) for 0 < ϱ ≤ d : = dist , (197 which are obviously continuous.
Neighboring Syria is already shattered, and the Middle East map — defined by European powers a century ago — may be redrawn, either de facto or formally.
Let S, T : V → V be self-maps defined by T x = x and S x = ξ for all x ∈ V ξ is some element in V. Let ψ : B → B defined by φ(a) = a - 1 for all a ∈ B, where '1' is the universal element of.
Nevertheless, a mapping defined by.
and, is the mapping defined by (2.8).
