Sentence examples for we shall map from inspiring English sources

In this paper, we shall map the occurrence of binary tracts in seven recently sequenced chromosomes, representing the major currently studied eukaryotic and archeal phyla (previous studies encompassed mainly incidentally selected gene regions).

We shall say a map on (Gamma backslash operatorname{Sol}_{1}^{4}) is of type (I), (II) or (III) according to its homomorphism on Γ.

Throughout this paper we shall consider the mapping has having on finite orbits, that is, for all nonnegative integers with, where is the th iterate of at.

We shall call the mapping f an ordered g-quasicontraction if there exists λ ∈ (0,1) such that for each x, y ∈ X satisfying gy ≼ gx, the inequality d ( f x, f y ) ≤ λ ⋅ M ( x, y ).

Instead, we shall use Poincaré maps for the orbits in the phase plane that determined by the dynamics of eq. 3 with the control of eq. 7.

At first, by (varphi colon X multimap Y ), we shall denote a multivalued map, i.e. a map which assigns to every point (x in X) a nonempty set (varphi(x) subset Y).

By a map (f colon X, A) to(Y, B)), we shall understand a continuous map from X to Y such that (f(A) subset B).

Now we shall prove that the map is differentiable in the following sense: Theorem 3.4.

We shall show that the map ℋ satisfies the assumptions of Lemma 2.5.

We shall apply the time map method to show how changes of the sign of f lead to multiple positive solutions of (1.7) for sufficiently large λ.

We shall say that a mapping N is L-compact on Ω if the mapping is continuous, is bounded and is compact.