Reflexive methodology was used to identify music collectors’ needs, that informed the development of conceptual prototypes which create moments of delightful distraction in their everyday lives. ARON: music lives in the cloud is a music listening and sharing system that enables ambient, non-task oriented experiences through networked biomorphic light forms equipped with a presence interface. AR...

Prior studies on online sentence processing have shown that the parser can resolve non-local dependencies rapidly and accurately. This study investigates the interaction between the processing of two such non-local dependencies: wh-filler-gap dependencies (WhFGD) and reflexive-antecedent dependencies. We show that reflexive-antecedent dependency resolution is sensitive to the presence of a WhFG...

Let q ≥ 1 + 2 N . We prove that any positive solution of (E) ∂tu − ∆u + u = 0 in R × (0,∞) admits an initial trace which is a nonnegative Borel measure, outer regular with respect to the fine topology associated to the Bessel capacity C 2 q ,q in R N (q = q/q − 1)) and absolutely continuous with respect to this capacity. If ν is a nonnegative Borel measure in R with the above properties we cons...

This paper is divided in two parts. In the first part we consider a convergent q-analog of the divergent Euler series, with q ∈ (0, 1), and we show how the Borel sum of a generic Gevrey formal solution to a differential equation can be uniformly approximated on a convenient sector by a meromorphic solution of a corresponding q-difference equation. In the second part, we work under the assumptio...

We introduce the notion of a cosheaf on a fan Σ and define the Z2 Hodge spaces Hpq(Σ), which are the homology groups Hp(∧E ) of the qth exterior power of the cosheaf E on Σ. Geometrically, for σ ∈ Σ the stalk Eσ of the cosheaf E is the compact real torus in the real orbit Oσ(R) of the real toric variety XΣ(R). The Z2 Hodge spaces Hpq(Σ) are indexed by pairs p, q with 0 ≤ q ≤ p ≤ d, where d = di...

Cardenas-Barron [L.E. Cardenas-Barron, Economic production quantity with rework process at a single-stage manufacturing system with planned backorders, Computers and Industrial Engineering 57 (2009) 1105–1113] minimizes the annual total relevant cost TC(Q , B) to find the economic production quantitywith rework process at amanufacturing system and assumes that TC(Q , B) is convex. So, the solut...

We develop an iterative algorithm for computing the approximate solutions of mixed quasi-variational-like inequality problems with skew-symmetric terms in the setting of reflexive Banach spaces.We use Fan-KKM lemma and concept of η-cocoercivity of a composition mapping to prove the existence and convergence of approximate solutions to the exact solution of mixed quasi-variational-like inequalit...

We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. This is used to prove that a separable reflexive Banach space with the unconditional tree property embeds into a reflexive Banach space with an unconditional basis. This solves several long standing open problems. In particular, it yields that a ...

Let V →֒ H →֒ V ∗ be a normal triple of spaces with dense and continuous embeddings, where V is a reflexive Banach space, H is a Hilbert space, identified with its dual by means of the inner product in H , and V ∗ is the dual of V . Let W = (Wt)t≥0 be an r-dimensional Brownian motion carried by a stochastic basis (Ω,F , (Ft)t≥0, P ). In this paper, we study the approximation of the solution to th...