The goal of this paper is to enumerate solid 2-trees according to the number of edges (or triangles) and also according to the edge degree distribution. We rst enumerate oriented solid 2-trees using the general methods of the theory of species. In order to obtain non oriented enumeration formulas, we use quotient species which consists in a specialization of P olya theory. R esum e. Le but de c...

Markovian models specify a considerable number of parameter probabilities. Whether estimated from data or assessed by experts, these parameters tend to be inaccurate to at least some degree. Sensitivity analysis provides for studying the effects of these inaccuracies on the model’s output probabilities. In this paper, we extend previous work on sensitivity analysis of Bayesian networks, to Mark...

Tel-Aviv University 1.1 The elimination tree . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-2 The elimination game • The elimination tree data structure • An algorithm • A skeleton graph • Supernodes 1.2 Applications of etrees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-8 Efficient symbolic factorization • Predicting row and column nonzero counts •...

We tested the applicability of the Goettinger Hoarseness Diagram (GHD) for quantitative evaluation of voice disorders after severe traumatic brain injury (TBI) and compared the obtained data with those from established voice analysis systems such as the Multi-Dimensional Voice Program (MDVP), electroglottography (EGG) and perceptual ratings using sustained vowel productions from 10 patients wit...

0 Introduction This is a reasonably faithful account of the ve lectures I delivered at the summer course \Geometria Algebraica no Commutativa y Espacios Cuanti-cos" for graduate students, in Spain, July 25{29, 1994. The material covered was, for the most part, an abridged version of Artin and Zhang's paper 2]. Fix a eld k. Given a Z-graded k-algebra, A say, which for simplicity is assumed to be...

where Gn, denoted by Bn by Goncharov, is placed at degree 1. To save space we here only point out that Gn(F ) are quotient groups of Z[P 1 F ] and refer the interested readers to [G2, p.49] for the detailed definition of these groups. On the other hand, currently there are two versions of higher Chow groups available: simplicial and cubical, which are isomorphic (cf. [Le]). We will recall the c...

A well-known and widely used approach in the study of algebraic objects is the investigation of their sub-objects and quotient objects. Consider the set of Boolean functions on F2 of degree less than or equal to r for 0 ≤ r ≤ n, which can also be seen as the Reed-Muller code RM(r, n) of order r. The automorphism group of RM(r, n) is equal to the general affine group AGL(n, 2) for all 1 ≤ r ≤ n ...

Let R be a Krull ring with quotient field K and a1, . . . , an in R. If and only if the ai are pairwise incongruent mod every height 1 prime ideal of infinite index in R does there exist for all values b1, . . . , bn in R an interpolating integer-valued polynomial, i.e., an f ∈ K[x] with f(ai) = bi and f(R) ⊆ R. If S is an infinite subring of a discrete valuation ring Rv with quotient field K a...

A fully abstract and universal domain model for modal transition systems and refinement, developed in [27], is shown to be a maximal-points space model for the bisimulation quotient of labelled transition systems over a finite set of events. In this domain model we prove that this quotient is a Stone space whose compact, zero-dimensional, and ultra-metrizable Hausdorff topology measures the deg...

first we show that the cosets of a fuzzy ideal μ in a bck-algebrax form another bck-algebra  x/μ (called the fuzzy quotient bck-algebra of x by μ). also we show thatx/μ is a fuzzy partition of x and we prove several some isomorphism theorems. moreover we prove that if the associated fuzzy similarity relation of a fuzzy partition p of a commutative bck-algebra iscompatible, then p is a fuzzy quo...