Additive Number Theory can be best described as the study of sums of sets of integers. A simple example is given two subsets A and B of a set of integers, what facts can we determine about A + B where A + B := {a + b | a ∈ A and b ∈ B}? We will state a result regarding this example shortly. We note that a very familiar problem in Number Theory, namely Lagrange’s theorem that every nonnegative i...

We introduce a mixed-initiative approach for document reconstruction that can significantly reduce the amount of time and effort required to reassemble a document from shredded pieces or an artifact from broken fragments. We focus in particular on the hardest subproblem, which is the problem of identifying a matching neighbor for any given piece. Our approach, called hallucination, combines hum...

In this study the fish assemblages of the silted Aguas Claras stream (AC) was compared with that of a reference, the São Carlos stream (SC), so as to identify potential fish indicators of integrity or degradation. Both streams, located about 5 km from one another, are part of the Upper Paraná river basin, Brazil, and present similar physiographical features. Twenty-one species were collected in...

Background: A dramatic increase in healthcare expenditures is a major health policy concern worldwide. Understanding factors that underlie the growth in healthcare expenditures is essential to assist decision-makers in finding best policies to manage healthcare costs. We aimed to examine the determinants of healthcare spending in Iran over the periods of 1978-2011. Methods: A time series ana...

a Robot Manipulator Ramon Garcia-Hernandez,1,∗ Jose A. Ruz-Hernandez,1,† Edgar N. Sanchez,2,‡ Victor Santibañez,3,§ Miguel A. Llama3,¶ Universidad Autonoma del Carmen, Calle 56 # 4 Esq. Avenida Concordia, C.P. 24180, Colonia Aviacion, Cd. del Carmen, Campeche, Mexico CINVESTAV, Unidad Guadalajara, Apartado Postal 31-430, Plaza La Luna, C.P. 62490, Guadalajara, Jalisco, Mexico Instituto Tecnolog...

This study investigates the effect of sub-phonemic variation in bilabial stop and sibilant fricative consonants on word identification. Recent research suggests that sub-phonemic variation in stop voicing contrasts influences lexical processing. The present study seeks further support for this view by examining listeners’ responses to synthetic speech varying along VOT and fricative place conti...

Within this paper we study the Minkowski sum of prisms (" Cephoids ") in a finite dimensional vector space. For a vector a ∈ R n with positive components we write ¯ a = (1 ¯ a 1 1 ¯ an) and denote by = ¯ a = {x ∈ R n || ¯ a, x 1 , x 0} the associated prism. We provide a representation of a finite sum of prisms in terms of inequalities.

Let SH denote the homothety class generated by a convex set S ⊂ R: SH = {a + λS | a ∈ R, λ > 0}. We determine conditions for the Minkowski sum BH + CH or the Minkowski difference BH ∼ CH of homothety classes BH and CH generated by closed convex sets B,C ⊂ R to lie in a homothety class generated by a closed convex set (more generally, in the union of countably many homothety classes generated by...