We prove that sets with positive upper Banach density in sufficiently large dimensions contain congruent copies of all dilates three specific higher-dimensional patterns. These patterns are: $2^n$ vertices a fixed $n$-dimensional rectangular box, the same extended $n$ points completing three-term arithmetic progressions, and three-point corners. Our results provide common generalizations severa...

The need to query spatiotemporal databases that store trajectories of moving objects arises in a broad range of application domains. In this work, we focus on in-memory distance threshold searches which return all moving objects that are found within a given distance d of a fixed or moving object over a time interval. We propose algorithms to solve such searches efficiently, using an R-tree ind...

A test setup is described using two small Vibrating Intrinsic Reverberation Chambers (VIRCs) with a common wall. A Device Under Test (DUT) can be mounted in this common wall, by means of standard hatches. The electromagnetic fields are stirred by moving the walls of both VIRCs. The walls can be moved by means of a simple motor with a crankshaft and rubber strings. A previous setup with one conv...

Block ciphers are widely used in modern cryptography. Substitution boxes (S–boxes) are main elements of these types of ciphers. In this paper we propose a new method to create S–boxes, which is based on application of Cellular Automata (CA). We present the results of testing CA-based S–boxes. These results confirm that CA are able to realize efficiently the Boolean function corresponding to cla...

Thermal properties of tree hollows play a major role in survival and reproduction of hollow-dependent fauna. Artificial hollows (nest boxes) are increasingly being used to supplement the loss of natural hollows; however, the factors that drive nest box thermal profiles have received surprisingly little attention. We investigated how differences in surface reflectance influenced temperature prof...

Rats with hippocampal aspiration lesions and controls were trained on delayed nonmatching to sample with small complex goal boxes, presented trial uniquely. A series of experiments then used pairs of large or small boxes, presented repeatedly. The lesions impaired choice accuracy when the rats were tested with large empty boxes but not when small boxes containing 3-dimensional objects were used...