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Let be the -component of.
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Let be the ordered segment that is the -component of.
Let (mathscr {D}^) be the component of (mathscr{S}^cup(Itimes{0})), containing (Itimes{0}).
For ℓ = 1, 2, let B ℓ be the component of R ∖ C ℓ whose closure contains p ℓ. Then B ℓ is invariant.
Let (G_{x}) be the component of G consisting of all the edges and vertices which are contained in some path in G beginning at x.
Referring to the definition given in [5], a component in G is the maximal connected subgraph of G. Let C o be the component of (mathbb {BS}_{G}(o) - F) that o belongs to.
Each of these protein kinases can be the component of more than one MAP kinase cascade, and the same signal or biological activity may be regulated by different MAP kinase cascades or cross-linked MAP kinase cascades (Rasmussen et al. 2012).
Both C 1 and C 2 are tangential at x ¯ to the eigenspace associated with ν. (ii) For ℓ = 1, 2, let B ℓ be the component of R ∖ C ℓ whose closure contains p ℓ. Then B ℓ is invariant.
Let G x be the component of G which consists of all edges and vertices contained in some path in G beginning at x. Suppose that G is such that E ( G ) is symmetric; then V ( G ) = [ x ] G where [ x ] G denotes the equivalence class of relations ℜ defined on V ( G ) by the rule y ℜ z if there is a path in G from y to z.
Lemma 3 Let ( X, d ) be a complete metric space endowed with a graph G and f : X → X be a ( G, ψ ) -contraction for which there exists x 0 ∈ X such that f x 0 ∈ [ x 0 ] G ˜. Let G ˜ x 0 be the component of G ˜ containing x 0. Then [ x 0 ] G ˜ is f-invariant and f | [ x ] G ˜ is a ( G ˜ x 0, ψ ) -contraction.
The two factors which may account for the changes in spatial coding appear to be the component of attention (endogenous vs. exogenous) and the dynamic of the focus of attention (stationary vs. shifting).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com