DEVELOPMENT OF COMPUTING MODEL OF GEOMECHANICS SYSTEM «LAYERED MASSIF - WORKING SUPPORT» AT PHYSICAL PARAMETERS OF ROCKS

Substantiation of method forecasting of manifestation rock pressure in the system «layered massif – working support» based on the detection of patterns displacement any point of circuit the preparatory working during the simulation experiments

Symmetric Units and Group Identities in Group Algebras

We describe those group algebras over fields of characteristic different from 2 whose units symmetric with respect to the classical involution, satisfy some group identity

Classification of bounded Baire class ξ\xi functions

Kechris and Louveau showed that each real-valued bounded Baire class 1 function defined on a compact metric space can be written as an alternating sum of a decreasing countable transfinite sequence of upper semi-continuous functions. Moreover, the length of the shortest such sequence is essentially the same as the value of certain natural ranks they defined on the Baire class 1 functions. They also introduced the notion of pseudouniform convergence to generate some classes of bounded Baire class 1 functions from others. The main aim of this paper is to generalize their results to Baire class $\xi$ functions. For our proofs to go through, it was essential to first obtain similar results for Baire class 1 functions defined on not necessary compact Polish spaces. Using these new classifications of bounded Baire class $\xi$ functions, one can define natural ranks on these classes. We show that these ranks essentially coincide with those defined by Elekes et. al

Thurston's Operations on the Braid Groups

In this paper we study Thurston's automaton on the braid groups via binary operations. These binary operations are obtained from the construction of this automaton. We study these operations and find some connections between them in a "skew lattice" spirit.Comment: arXiv admin note: text overlap with arXiv:1309.0796 by other author

Raising new opportunities for the Next Economy by exploring variable user needs for Computational Co-Design

Digital Fabrication promises to revolutionize manufacturing, bringing both economic, social and environmental benefits. Combined with Computational CoDesign it can raise the creative potential of both designers and users. However, today the productive use of Digital Fabrication and Computational Design requires significant effort and specialised know-how, so valorising these practices calls for the identification of the application fields that benefit the most from them. This paper presents a tool for helping the discovery of design opportunities across comprehensive, ramified lists of product categories, where designers can identify possible points of intervention. The web-based tool allows the rapid evaluation of numerous product categories according to an extendable set of factors and inspiring questions related to the necessity of personalization, aiming to stimulate designers to consider unexpected frontiers of innovation. Beyond the scope of the research project, this tool has the potential to assist designers in finding applications also for other emerging technologies in a structured and scalable wa