We characterize the dual of the generalized hexagons naturally associated to the groups G2(q) and 3D4(q) by looking at certain configurations, and also by considering intersections of traces. For instance, the dual of a generalized hexagon F of finite order (s, t) is associated to the Chevaliey groups mentioned above if and only if the intersection of any two traces x v and x z, with some addit...

Nested set complexes appear as the combinatorial core of De ConciniProcesi arrangement models. We show that nested set complexes are homotopy equivalent to the order complexes of the underlying meet-semilattices without their minimal elements. For atomic semilattices, we consider the realization of nested set complexes by simplicial fans proposed in [FY], and we strengthen our previous result s...

The semigraphoid closure of every couple of CI-statements (CI=conditional independence) is a stochastic CI-model. As a consequence of this result it is shown that every probabilistically sound inference rule for CI-models, having at most two antecedents, is derivable from the semigraphoid inference rules. This justiies the use of semigraphoids as approximations of stochastic CI-models in probab...

We obtain a presentation for the singular part of the Brauer monoid with respect to an irreducible system of generators, consisting of idempotents. As an application of this result we get a new construction of the symmetric group via connected sequences of subsets. Another application describes the lengths of elements in the singular part of the Brauer monoid with respect to the system of gener...

As modern areas of application for coarse-grained reconfigurable systems digital signal processing, multimedia in embedded devices, and wireless communication can be mentioned among others. These fields include different algorithms with varying complexity and speed requirements. In this paper a new highly parameterizable coarse-grained reconfigurable architecture called weakly programmable proc...

Elements and techniques of state-of-the-art automatically veriied constrained global optimization algorithms are reviewed, including a description of ways of rigorously verifying feasibility for equality constraints and a careful consideration of the role of active inequality constraints. Previously developed algorithms and general work on the subject are also listed. Limitations of present kno...

Elements and techniques of state-of-the-art automatically verified constrained global optimization algorithms are reviewed, including a description of ways of rigorously verifying feasibility for equality constraints and a careful consideration of the role of active inequality constraints. Previously developed algorithms and general work on the subject are also listed. Limitations of present kn...

We investigate elements of combinatorics from the point of view of the algebra for the canonical commutation relations. We find novel interpretations for Stirling numbers of both type within this context. This allows us to develop compact formulas for vacuum averages and normal orderings of products of Bose fields. Two applications are mentioned: an uniform estimate for Dyson series expansions ...

The mathematical concepts of distance and similarity measures are introduced into quantum chemistry to aid in the comparison of molecular electronic structures in arbitrary electronic states. Some partial measures are defined to help in estimating the similarity between molecular subunits. The distance measure is constructed using the elements of the charge-bond-order matrix. Some fields of pos...

Microclimatic design requires knowledge of the climate conditions, understanding of the ways that landscape elements affect microclimate and methods of applying this knowledge through landscape design to create microclimates that are comfortable for people and minimize the energy use of buildings. In this article it will be introduced the most important components and characteristics of microcl...