Let A be a Coxeter arrangement of rank ℓ. In 1987 Orlik, Solomon and Terao conjectured that for every 1≤d≤ℓ, the first d exponents – when listed in increasing order are realized as free restriction to some intersection reflecting hyperplanes dimension d. This conjecture does follow from rather extensive case-by-case studies by Orlik 1992 1993, where they show all restrictions arrangements free....

Due to the significant progress in automated verification, there are often several techniques for a particular verification problem. In many circumstances different techniques are complementary — each technique works well for different type of input instances. Unfortunately, it is not clear how to choose an appropriate technique for a specific instance of a problem. In this work we argue that t...

D evelopment of oil and gas fields is facing many risks, which are mainly due to uncertainties about the existence of commercial reserves, natural and economic environment, political conditions of host countries, legal and infrastructure issues and a market for petroleum products. In such an environment, investors are often engaged as contractors to develop and operate petroleum proj...

Undoubtedly, Russia occupies a distinct position within the political landscape, differentiating it from Western democracies that themselves exhibit considerable variation. This uniqueness can be attributed, in part, to Russia’s geographic characteristics, encompassing diverse subdivisions characterized by variations population, natural resources, territorial expanse, and distance central autho...

This article provides an overview of the findings from the Evaluation of Medicaid's Community Supported Living Arrangements (CSLA) Program. Results suggest that CSLA provided a useful model of beneficiary centered care for persons with developmental disabilities. The implications of the findings of this evaluation for current management of Medicaid programs are discussed.

To a matroid M is associated a graded commutative algebra A A M , the OrlikSolomon algebra of M. Motivated by its role in the construction of generalized hypergeometric functions, we study the cohomology H A dω of A M with coboundary map dω given by multiplication by a fixed element ω of A1. Using a description of decomposable relations in A, we construct new examples of “resonant” values of ω,...