In this note we give a new upper bound for the largest size of subset of {1, 2, . . . , n} not containing a k-cube.

In this paper we characterize the finite dimensionality of a compact Z-set in the Hilbert cube in terms of the existence of a particular canonical cover in its complement.

AbstrAct OLAP queries are characterized by short answering times. Materialized cube views, a pre-aggregation and storage of group-by values, are one of the possible answers to that condition. However, if all possible views were computed and stored, the amount of necessary materializing time and storage space would be huge. BLOCKINSelecting BLOCKINthe BLOCKINmost BLOCKINbeneficial BLOCKINset, BL...

Motivated by the Chapman Complement Theorem, we construct an isomorphism between the topological category of compact Z-sets in the Hilbert cube Q and the C0-coarse category of their complements. The C0coarse morphisms are, in this particular case, intrinsically related to uniformly continuous proper maps. Using that fact we are able to relate in a natural way some of the topological invariants ...

Rubik’s cube puzzle is considered to be a benchmark for service robots. In such an application a computer vision subsystem is required in order to locate the object in space and to determine the configuration of its color cells. In this paper a robust algorithm for Rubik cube reconstruction form a single view in real time is shown. Special interest was in getting a balance between quality of re...

Audio guidance is a common means of helping visually impaired individuals to navigate, thereby increasing their independence. However, the differences between different modalities for locating objects in 3D space have yet be investigated. The aim this study was compare time, hand’s path length, and satisfaction levels using three automatic cueing modalities: pitch sonification, verbal, vibratio...

CUBE is a generic presentation component suitable for displaying a wide variety of performance metrics for parallel programs including MPI and OpenMP applications. Program performance is represented in a multi-dimensional space including various program and system resources. The tool allows the interactive exploration of this space in a scalable fashion and browsing the different kinds of perfo...

Market analysis is a representative data analysis process with many applications. In such an analysis, critical numerical measures, such as profit and sales, fluctuate over time and form time-series data. Moreover, the time series data correspond to market segments, which are described by a set of attributes, such as age, gender, education, income level, and product-category, that form a multi-...