47,198 research outputs found
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 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
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
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
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