Sentence examples for be a competitive map from inspiring English sources

Let be a competitive map.

Let be a competitive map on a rectangular region.

Theorem 4 Let T be a competitive map on a rectangular region ℛ ⊂ ℝ2.

Let T be a competitive map on a rectangle R = I 1 × I 2 and x ¯ ∈ int ( R ).

Theorem 6 Let ℛ be a rectangular subset of R 2 and let T be a competitive map on ℛ.

Theorem 8 Let T be a competitive map on a rectangular set ℛ ⊂ ℝ2 with an isolated fixed point x ¯ ∈ ℛ such that ℛ ∩ int  ( Q 2 ( x ̄ ) ∪ Q 4 ( x ̄ ) ) ≠ ∅.

If is a competitive map for which holds, then for all, is eventually componentwise monotone.

If T is a competitive map for which (O+) holds then for all x ∈ S, {T n (x)} is eventually componentwise monotone.

Theorem 4 Let R be a nonempty subset of R 2. If T is a competitive map for which (O+) holds then for all x ∈ R, { T n ( x ) } is eventually component-wise monotone.

Theorem 2 Let S be a nonempty subset of R 2. If T is a competitive map for which (O+) holds then for all x ∈ S, { T n ( x ) } is eventually componentwise monotone.

Theorem 2 Let S be a nonempty subset of R 2. If T is a competitive map for which ( O + ) holds, then, for all x ∈ S, { T n ( x ) } is eventually component-wise monotone.