We consider a system A ◦ x b, where A ∈ Rm×n + is a non-negative matrix and b ∈ R+ is a non-negative vector over the n-dimensional variable l x u, where l, u ∈ R+ are lower and upper bounds, respectively, and ◦ is either a max–min or a maxproduct composition. It is shown that the set of minimal solutions of such systems can be computed in incremental quasi-polynomial time. © 2008 Elsevier B.V. ...

Two studies demonstrate that children have knowledge of scalar distinctions between three sub-classes of gradable adjectives: relative (big, long), absolute with a maximal standard (full), and absolute with a minimal standard (spotted). Performance on these adjectives is compared with controls (shape, color, mood). Children appropriately shift the standard of comparison with context-dependent, ...

Scalar implicatures are inferences that arise when a weak expression is used instead of a stronger alternative. For example, when a speaker says, ‘‘Some of the children are in the classroom,’’ she often implies that not all of them are. Recent processing studies of scalar implicatures have argued that generating an implicature carries a cost. In this study we investigated this cost using a sent...

Sufficient conditions are found for the existence of multiparametrical families of proper oscillatory and vanishing-at-infinity solutions of the differential equation u(n)(t) = g ( t, u(τ0(t)), . . . , u(τm−1(t)) ) , where n ≥ 4, m is the integer part of 2 , g : R+ × R m → R is a function satisfying the local Carathéodory conditions, and τi : R+ → R (i = 0, . . . , m− 1) are measurable function...

This paper describes an initial attempt to model serial memory span tasks using articulatory rather than retrieval-based rehearsal. This was accomplished through utilizing ACT-R’s audition and vocal modules to implement an articulatory loop. Other production systems, notably EPIC, have models for verbal working memory and the articulatory loop (Kieras et al. 1999). Until now, this was lacking i...

The Stroop effect has been studied for more than sixty years, and yet it still defies a complete theoretical account. The model presented here offers a new approach that integrates several explanations of the Stroop phenomenon into a hybrid model. Because this model is built within the ACT-R cognitive architecture (Anderson & Lebiere, 1998), it applies a generic, pre-specified set of mechanisms...

Given bounded vector field b : R → R, scalar field u : R → R and a smooth function β : R → R we study the characterisation of the distribution div(β(u)b) in terms of div b and div(ub). In the case of BV vector fields b (and under some further assumptions) such characterisation was obtained by L. Ambrosio, C. De Lellis and J. Malý, up to an error term which is a measure concentrated on so-called...

An non-commutative non-self adjoint random variable z is called R-diagonal, if its ∗-distribution is invariant under multiplication by free unitaries: if a unitary w is ∗-free from z, then the ∗-distribution of z is the same as that of wz. Using Voiculescu’s microstates definition of free entropy, we show that the R-diagonal elements are characterized as having the largest free entropy among al...

In the spirit of the Genetics of the Regular Figures, by L. Fejes Tóth [FT, Part 2], we prove the following theorem: If 2n points are selected in the n-dimensional Euclidean ball Bn so that the smallest distance between any two of them is as large as possible, then the points are the vertices of an inscribed regular cross-polytope. This generalizes a result of R.A. Rankin [R] for 2n points on t...