Sentence examples for map we consider from inspiring English sources

For any constant B > 0, let S B = { x ∈ R n : | x | < B }. Suppose that F ( x ) : R n → R n be a continuous map, we consider the following difference equation: x ( n + 1 ) = F ( x ( n ) ), n ∈ Z. (9).

In discrete dynamical system ( X, f ), where X is a metric space and f : X → X is a continuous map, we consider the iterates of points of X under the action of f with discrete ticks of time.

Since we are interested in the evolution of the set ℒ through the Poincaré map, we consider only the half-strip E ( − ∞, 2 π ] = ( − ∞, 2 π ] × [ ℓ 1, ℓ ∗ ]. For the flow associated to (2.16), all the points of ℒ move from the right to the left on lines parallel to the θ-axis.

Before studying the behavior of a Nehari manifold by using a fibering map, we consider the function (psi_{u}(s):mathbb{R^rightarrowmathbb {R}) defined by begin{aligned} psi_{u}(s)=s^{2-p} Vert u Vert ^{2}-s^{q-p} int_{0}^{T} b t) biglvert u(t) bigrvert ^{q},dt.

For every pair of studied genes that are associated with any KEGG map, we consider as true functionally related genes, genes that catalyze reactions on the same KEGG pathway.

Therefore, instead of focusing on a single high-modularity map, we consider an entire ensemble of partitions that can be exploited to recover the underlying community structure and alleviate the aforementioned resolution limit (see Text S1).

In the case of the wilderness map, we considered a species covered by a certain rank when the points of the respective rank intersected at any rate the grid cells in which that species was present.

First, with the RAD-only map we considered the (i) total number of loci detected, (ii) the percentage of polymorphic loci, (iii) the number of missing allele calls for polymorphic loci, (iv) the percentage of codominant loci, (v) segregation distortion, (vi) the number of significant singletons (vii) linkage map length, and (viii) the number, location, interaction and effect of significant QTL.

The mapping we consider is multivalued and the contraction inequality is of integral type.

For a bifunction and a nonlinear mapping, we consider the following equilibrium problem: (1.2).

In the case of 2-D maps, we consider the Beddington, Free, and Lawton and Udwadia and Raju maps.