We propose a new probabilistic pattern formation algorithm for oblivious mobile robots that operate in the ASYNC model. Unlike previous work, our algorithm makes no assumptions about the local coordinate systems of robots (the robots do not share a common “North” nor a common “Right”), yet it preserves the ability to form any general pattern (and not just patterns that satisfy symmetricity pred...

Long range correlations multiplicity-multiplicity, p 2 T-multiplicity and p 2 − p 2 T are studied in the percolating colour string picture under different assumptions of the dynamics of string interaction. It is found that the strength of these correlations is rather insensitive to these assumptions nor to the geometry of formed fused string clusters. Both multiplicity-multiplicity and p 2 T-mu...

We generalize an improved Lech bound, due to Huneke, Smirnov, and Validashti, from the Hilbert-Samuel multiplicity Buchsbaum-Rim mixed multiplicity. reduce problem graded case then polynomial ring case. There we use complete reductions, studied by Rees, prove sharper bounds for in low dimensions before proving general

This article peruses the discourse concerning European public sphere initiated by Habermas in early 1960s and assessments of arguments a variety commentators who have drawn attention to globalisation its multiplicity. In this context I suggest that notion must be understood relation concept 'viral modernity' including viral open media on one hand, technologies post-truth other which systematica...

Up to now, many studies have been done to show the origin of attitudes and their relationships with behaviors or actions. Some of those works have focused on students' attitudes and some have introduced the various contexts of language teaching and learning. These studies were enough to give a new impetus for conducting the present investigation. This paper investigated the teachers' attitudes ...

Online learning communities could be seen as tools or resources that enable people to perform actions together online. One could conceptualise the multiplicity of resources both within and outwith the online community as the set of circumstances that support learning. These circumstances might more commonly be referred to as the learning (or the learner’s) context. But what do we understand abo...