There exist natural generalizations of the real moduli space of Riemann spheres based on manipulations of Coxeter complexes. These novel spaces inherit a tiling by the graph-associahedra convex polytopes. We obtain explicit configuration space models for the classical infinite families of finite and affine Weyl groups using particles on lines and circles. A Fulton-MacPherson compactification of...

Imprecise and incomplete specification of system configurations threatens safety, security, functionality, and other critical system properties and uselessly enlarges the configuration spaces to be searched by configuration engineers and auto-tuners. To address these problems, this paper introduces interpreted formalisms based on real-world types for configurations. Configuration values are lif...

This is a survey of a recent work done by the three authors, in which an analysis of geometric properties of a structure relative to a reduct is initiated. In particular, definable groups and fields in this context are considered. In a relatively 1-based theory every group is definably isogenous to a subgroup of a group definable in the reduct. For relatively CM-trivial theories (which encompas...

We present an algorithm that verifies if two unlabeled configurations of N points in Rd are or are not an orthogonal transformation of one another, and if applicable, explicitly compute that transformation. We also give a formula for the orthogonal transformation in the case of noisy measurements. AMS subject classification: 65F15, 65F35, 65G99.

The present paper continues the work begun by Anstee, Ferguson, Griggs and Sali on small forbidden configurations. We define a matrix to be simple if it is a (0,1)-matrix with no repeated columns. Let F be a k× l (0,1)-matrix (the forbidden configuration). Assume A is an m×n simple matrix which has no submatrix which is a row and column permutation of F . We define forb(m,F ) as the largest n, ...

Formaldehyde is a dangerous compound that must eliminate from contaminated air. Different methods exist for removal of pollutants from the air that among them, the biological processes attracted a great deal of attention. Removal of formaldehyde from the contaminated air was investigated in three laboratory-scale biofilters packed with different materials (a mixture of compost and woodchips, th...

Star configurations are certain unions of linear subspaces of projective space. They have appeared in several different contexts: the study of extremal Hilbert functions for fat point schemes in the plane; the study of secant varieties of some classical algebraic varieties; the study of the resurgence of projective schemes. In this paper we study some algebraic properties of the ideals defining...

Recent studies suggest that the amplification needs of children and adults differ due to differences in perceptual ability. For example, several studies have confirmed that children realize greater benefit from a more audible speech signal (Stelmachowicz, Hoover, Lewis, Kortekaas and Pittman 2000; Stelmachowicz, Pittman, Hoover, Lewis and Moeller 2004), a higher signal-to-noise ratio (Hall and ...

A new class of designs which protect against quantum jumps, Des.

closed families of sets. Poonen showed that if a finite union-closed family of sets S contains three of the 3−sets in some 4−set, then one of the elements of that 4−set is contained in at least half the members of the family S. This condition intrigued us, and we began to investigate collections of 3−sets for which it fails. The alternative statement that no 4−set contain more than two 3−sets i...