How do grammars assess the well-formedness of words with multiple phonotactic violations? Certain models predict that as strength restrictions decrease, forms violate should be less acceptable than expected, in a pattern we term super-linear cumulativity. We test this prediction using series Artificial Grammar Learning experiments, which vary number exceptions to patterns artificial languages. ...

Cumulative effects are the combined effects of multiple activities, and watershed effects are those which involve processes of water transport. Almost all impacts are influenced by multiple activities, so almost all impacts must be evaluated as cumulative impacts rather than as individual impacts. Existing definitions suggest that to be significant, an impact must be reasonably expected to have...

Let B(X) be the algebra of all bounded linear operators on the Banach space X, and let N (X) be the set of nilpotent operators in B(X). Suppose φ : B(X)→ B(X) is a surjective map such that A,B ∈ B(X) satisfy AB ∈ N (X) if and only if φ(A)φ(B) ∈ N (X). If X is infinite dimensional, then there exists a map f : B(X)→ C \ {0} such that one of the following holds: (a) There is a bijective bounded li...

and Applied Analysis 3 H2 for all t > 0 and i, j ∈ {1, 2, . . . , n}, there exist constants η > 0, λ > 0 and ξi > 0 such that ∫∞ 0 ∣ ∣Kij u ∣ ∣edu < ∞, −η > − [ ci t − λe−ληi t − ηi t ci t ( λ c i e λη i )] ei t ξi n ∑ j 1 L̃j (∣ ∣aij t ∣ ∣eij t a ijηi t ci t e ληi t e ij ) ξj n ∑ j 1 Lj ∫∞ 0 ∣ ∣Kij u ∣ ∣edu (∣ ∣bij t ∣ ∣ b ijηi t ci t e ληi t ) ξj ; 1.5 H3 Ii t O e−λt t → ±∞ , i 1, 2, . . . , n...

The question of controllability of natural and man-made network systems has recently received considerable attention. In the context of the human brain, the study of controllability may not only shed light into the organization and function of different neural circuits, but also inform the design and implementation of minimally invasive yet effective intervention protocols to treat neurological...

Introduction Fort McMurray, a city in northern Alberta, Canada, has experienced multiple traumatic events the last five years, including 2016 wildfire, 2020 floods, and COVID-19 pandemic. Traumatic often lead to increased mental health burdens affected communities. Objectives To assess if number of by residents McMurray correlates with prevalence severity issues experienced. Methods A cross-sec...

the linear system of equations ax = b where a = [aij ] in cn.n is a crispsingular matrix and the right-hand side is a fuzzy vector is called a singularfuzzy linear system of equations. in this paper, solving singular fuzzy linearsystems of equations using generalized inverses such as drazin inverse andpseudo-inverse are investigated.