Leopardi introduced the notion of a Kronecker quotient in [Paul Leopardi. A generalized FFT for Clifford algebras. Bulletin of the Belgian Mathematical Society, 11:663–688, 2005.]. This article considers the basic properties that a Kronecker quotient should satisfy and additional properties which may be satisfied. A class of Kronecker quotients for which these properties have a natural descript...

Let G be a weighted graph. Let v be a vertex of G and let Gω denote the graph obtained by adding a vertex u and an edge {v, u} with weight ω to G. Then the algebraic connectivity μ(Gω) of G v ω is a nondecreasing function of ω and is bounded by the algebraic connectivity μ(G) of G. The question of when lim ω→∞ v ω) is equal to μ(G) is considered and answered in the case that G is a tree.

The structure of graded triangular algebras T of arbitrary dimension are studied in this paper. This is motivated in part for the important role that triangular algebras play in the study of oriented graphs, upper triangular matrix algebras or nest algebras. It is shown that T decomposes as T = U + ( ∑ i∈I Ti), where U is an R-submodule contained in the 0-homogeneous component and any Ti a well...

Legendre's chi-function, Xn(z) = 2"D¡tlo zlk+l/(2k + 1)" , is reexpanded in a power series in powers of log z . The expansion obtained is well suited for the computation of Xn(z) in the two cases of real z close to 1, and z = ela , a e R . For n = 2 and n = 3 , the present computational procedure is shown to be superior to the procedure recently proposed by Dempsey, Liu, and Dempsey, which uses...

Em muitos casos, as interações de mediação tornam-se verdadeiros campos batalha em que uma das ações mais recorrentes é a reclamação, partir da qual os participantes expressam não somente oposição como também seus sentimentos descontentamento acerca um estado coisas. Neste artigo, tomamos objeto formato particular reclamação: Contrarreclamação. Analisamos produção contrarreclamações sessões gra...