Sentence examples for integral map from inspiring English sources

Let be a finite interval, and let and be integral equations in which is a nonlinear integral map.

This allows obtaining a richer integral map at the end of the analysis.

Here, as an example, we provide a fragment of the integral map for chromosome 1.

For illustration, we show here the integral map of chromosome 1.

Obviously, this integral map differs significantly from the one shown for BC populations.

In building the integral map, we take into account the possibility of local map uncertainty (branching) caused by the presence of unique (set-specific) markers.

Define Ϝ = {(xi:{mathbb{R}_rightarrow {mathbb{R}_:varphi) is a Lebesgue integral mapping which is summable, nonnegative and satisfies (int _{0}^{varepsilon}xi(t), dt>0), for each (varepsilon>0)}.

A mapping T from a metric space ( X, d ) into ( X, d ) is called a Picard operator (PO) if T has a unique fixed point z ∈ X and lim n → ∞ T n x = z for all x ∈ X. Define Φ = { φ : R + → R + : φ is a Lebesgue integral mapping which is summable, nonnegative and satisfies ∫ 0 ϵ φ ( t ) d t > 0, for each ϵ > 0 }.

The results for both groups of data include correction of the individual maps based on consensus analysis and building of integral maps.

Consistent with the terminology in [36], we denote ϒ the set of all functions φ: ℝ + → ℝ +, where φ is a Lebesgue integrable mapping with finite integral on each compact subset of ℝ+, nonnegative, and for each ε > 0, ∫ 0 ε φ ( t ) d t > 0 (see also, [37]).

(Definite integral) The map ∫ ∙ ∙ d x : V ⊗ R ⊗ R → R : ( f ( x ), { a, b } ) ↦ ∫ a b d x f ( x ) = F ( b ) - F ( a ), is called a definite integral.