We define Poincaré series associated to a toric or analytically irreducible quasiordinary hypersurface singularity, (S, 0), by a finite sequence of monomial valuations, such that at least one of them is centered at the origin 0. This involves the definition of a multigraded ring associated to the analytic algebra of the singularity by the sequence of valuations. We prove that the Poincaré serie...

Constructive methods for matrices of multihomogeneous (or multigraded) resultants for unmixed systems have been studied by Weyman, Zelevinsky, Sturmfels, Dickenstein and Emiris. We generalize these constructions to mixed systems, whose Newton polytopes are scaled copies of one polytope, thus taking a step towards systems with arbitrary supports. First, we specify matrices whose determinant equa...

the purpose of this study was to investigate the possible affect of socio-economic class on the degree of acceptability and consumption of milk in children. this study was conducted on 9204 children who were chosen from two different socio-economic classes: high (groul1 1) and low (group. 2) in tehran. samples were aged betweea1 five to eighteen years, and divided into six age categories. the r...

background: papillon-lefevre syndrome (pls) is a rare autosomal recessive disorder characterized by palmoplantar hyperkeratosis and early development of aggressive pe-riodontitis. although cathepsin c (ctsc) gene mutations have been established in about 70-80% of pls patients, it is assumed that the patients may have dysfunctioning of immune defense mechanisms. objective: to assess the associat...

Ranking evaluation metrics are a fundamental element of design and improvement efforts in information retrieval. We observe that most popular metrics disregard information portrayed in the scores used to derive rankings, when available. This may pose a numerical scaling problem, causing an underor over-estimation of the evaluation depending on the degree of divergence between the scores of rank...