After [4] the shellability of multicomplexes Γ is given in terms of some special faces of Γ called facets. Here we give a criterion for the shellability in terms of maximal facets. Multigraded pretty clean filtration is the algebraic counterpart of a shellable multicomplex. We give also a criterion for the existence of a multigraded pretty clean filtration.

one of the most important issues that faced cities in developing countries with a crisis is expanding informal settlement in them. these settlements with differences in definition are known as occupational, changing, marginal, self-made and uncontrolled housing. it is estimated that about 1 billion man in all over the world live in such kinds of places. these zones are the texture for creation ...

In this paper, two criterions of MDS Euclidean self-orthogonal codes are presented. New self-dual and constructed via the criterions. particular, among our constructions, for large square q, about 1/8·q new (almost) over F q can be produced. Moreover, we construct 1/4· q with different even leng...

We establish existence of stochastic financial equilibria on filtered spaces more general than the ones generated by finite-dimensional Brownian motions. These equilibria are expressed in real terms and span complete markets or markets with withdrawal constraints. We deal with random endowment density streams which admit jumps and general time-dependent utility functions on which only regularit...

The workload on web search engines is actually multiclass, being derived from the activities of both human users and automated robots. It is important to distinguish between these two classes in order to reliably characterize human web search behavior, and to study the effect of robot activity. We suggest an approach based on a multidimensional characterization of search sessions, and take firs...

New approach to estimation of ecological model parameters is considered and applied to analysis of wellknown pine looper moth time series (Klomp, 1966). Within the framework of approach it is assumed that before constructing and minimizing of loss-function basic requirements to model and to deviations between empirical and theoretical (model) datasets must be formulated. After that respective s...