By administering Simon, Simon switching, and operation-span working memory tasks to Cantonese-English bilingual children who varied in their first-language (L1, Cantonese) and second-language (L2, English) proficiencies, as quantified by standardized vocabulary test performance, the current study examined the effects of L1 and L2 proficiency on attentional control performance. Apart from mean p...

The current study was planned to investigate the interference of native language in English word recognition and integration skills L1 speakers French Persian. participants were 48 intermediate upper Persian French-speaking EFL learners studying VUB ULB universities Brussels, Belgium. All all, based on results ANCOVA, there a strong positive relationship between learners' their L1(first languag...

and Applied Analysis 3 The evolution system R t, s is said to be equicontinuous if for all bounded set Q ⊂ X, {s → R t, s x : x ∈ Q} is equicontinuous for t > 0. x ∈ C −q, b , X is said to be a mild solution of the nonlocal problem 1.1 , if x t φ t g x t for t ∈ −q, 0 , and, for t ∈ J , it satisfies the following integral equation: x t R t, 0 [ φ 0 g x 0 ] ∫ t 0 R t, s f ( s, xs, ∫ s 0 K s, r, ...

1. (f̂ + g)(ξ) = f̂(ξ) + ĝ(ξ). 2. For any α ∈ C, (α̂f)(ξ) = αf̂(ξ). 3. Let f̄ denote the complex conjugate of f . Then ˆ̄ f(ξ) = f̂(ξ). 4. For λ ∈ R \ {0}, denote fλ(x) = λf(λx). Then f̂λ(ξ) = f̂( ξ λ ). 5. For y ∈ R let (τyf)(t) = f(t− y). Then τ̂yf(ξ) = f̂(ξ)e−2πiξy. 6. |f̂(ξ)| ≤ ‖f‖L1(R). Definition 1.3. The Schwartz space, S(R), is the space of C∞ functions that are rapidly decreasing, in the sense that

There are several generalizations of the space L1(R) of Lebesgue integrable functions taking values in the real numbers R (and defined on the usual Lebesgue measure space (Ω,Σ, μ) on [0, 1] ) to a space of strongly-measurable “integrable” (suitably formulated) functions taking values in a Banach space X. The most common generalization is the space L1(X) of Bochner-Lebesgue integrable functions....

For an R-bounded families of operators on L1 we associate a family of representing measures and show that they form a weakly compact set. We consider a sectorial operator A which generates an R-bounded semigroup on L1. We show that given 2 > 0 there is an invertible operator U : L1 → L1 with ‖U − I‖ < 2 such that for some positive Borel function w we have U(D(A)) ⊃ L1(w).

The cell adhesion molecule (CAM) L1 plays crucial roles in axon growth in vitro and in the formation of major axonal tracts in vivo. It is generally thought that CAMs link extracellular immobile ligands with retrogradely moving actin filaments to transmit force that pulls the growth cone forward. However, relatively little is known about the fate of CAMs that have been translocated into the cen...

Recently, some variants of the l1 norm, particularly matrix norms such as the l1,2 and l1,∞ norms, have been widely used in multi-task learning, compressed sensing and other related areas to enforce sparsity via joint regularization. In this paper, we unify the l1,2 and l1,∞ norms by considering a family of l1,q norms for 1 < q ≤ ∞ and study the problem of determining the most appropriate spars...