The Dushnik-Miller dimension of a poset ≤ is the minimal number d of linear extensions ≤1, . . . ,≤d of ≤ such that ≤ is the intersection of ≤1, . . . ,≤d. Supremum sections are simplicial complexes introduced by Scarf [13] and are linked to the Dushnik-Miller as follows: the inclusion poset of a simplicial complex is of Dushnik-Miller dimension at most d if and only if it is included in a supr...

Luis Ulisses Signori, Alexandre Schaan de Quadros, Graciele Sbruzzi, Thiago Dipp, Renato D. Lopes, Beatriz D’Agord Schaan I Universidade Federal do Rio Grande, Instituto de Ciências Biológicas, Rio Grande/RS, Brazil. II Instituto de Cardiologia do Rio Grande do Sul/Fundação Universitária de Cardiologia, Porto Alegre/RS, Brazil. III Duke University Medical Center, Duke Clinical Research Institut...

The initial boundary-value problem for the Korteweg–de Vries (KdV) equation on the negative quarter-plane, x < 0 and t > 0, is considered. The formulation of this problem is different to the usual initial boundary-value problem on the positive quarter-plane, for which x > 0 and t > 0. Two boundary conditions are required at x = 0 for the negative quarter-plane problem, in contrast to the one bo...

The Korteweg-de Vries (KdV) equation is known as a model of long waves in an infinitely long canal over a flat bottom and approximates the two-dimensional water wave problem, which is a free boundary problem for incompressible Euler equation with the irrotational condition. In this paper, we consider the validity of this approximation in the case of presence of surface tension. Moreover, we con...

Vanessa de Fátima Bernardes; Luis Otávio de Miranda Cota; Fernando de Oliveira Costa; Ricardo Alves Mesquita; Ricardo Santiago Gomez; Maria Cássia Ferreira Aguiar DDS, MS, Graduate student, Department of Oral Surgery and Pathology, School of Dentistry, Federal University of Minas Gerais, Brazil DDS, MS, PhD, Adjunct Professor, Department of Oral Surgery and Pathology, School of Dentistry, Feder...

We studied the variation of Newton ́s gravitational constant G, using the experimental data and the scalar-tensor theory for gravitation. We search for a fine tunning to match the datas and find possible scenarios for the history of this constant.

Acknowledgments We thank André Luiz Correa de Sousa, Márcia Leão, and Anna Elizabeth Martins Alves for collecting the samples and data from the patients; Sabrina Sampaio Bandeira for the patient impairment evaluation; Domingos Diniz, Miguel Canto, and the Programa de Ação Interdisciplinar at Oriximiná for logistical support and fruitful discussions; John Spencer for supplying the native PGL-I a...

Several nonlinear systems such as the Korteweg-de Vries (KdV) and modified KdV equations and lambda phi(4) theory possess periodic traveling wave solutions involving Jacobi elliptic functions. We show that suitable linear combinations of these known periodic solutions yield many additional solutions with different periods and velocities. This linear superposition procedure works by virtue of so...

a Facultad de Química y Biología, Departamento de Ciencias del Ambiente, Universidad de Santiago de Chile, Avenida B. O’Higgins 3363, Estación Central, Santiago, CP 9160000, Chile Departamento de Ciencias Químicas, Universidad Andrés Bello, Avenida Concepción, Talcahuano 7100, Concepción, Chile Departamento de Ciencias Químicas, Universidad Andrés Bello, República 237, Santiago, Chile Departame...