Thermodynamic formalism for transient dynamics on the real line

We develop a new thermodynamic formalism to investigate the transient behaviour of maps on the real line which are skew-periodic Z -extensions of expanding interval maps. Our main focus lies in the dimensional analysis of the recurrent and transient sets as well as in determining the full dimension spectrum with respect to α-escaping sets. Our results provide a one-dimensional model for the phenomenon of a dimension gap occurring for limit sets of Kleinian groups. In particular, we show that a dimension gap occurs if and only if we have non-zero drift and we are able to precisely quantify its width as an application of our new formalism.

Michaił Katkow — u początków myśli politycznej apologety rosyjskiego samodzierżawia

Mikhail Katkov (1818–1887), a leading Russian political journalist, began his career as a liberal fascinated by German philosophy, especially the views of Friedrich Wilhelm Joseph von Schelling. At that time, he represented a moderate pro-Polish attitude. After the outbreak of the January Uprising in 1863, on the pages of Moskowskije Wiedomosti, which he edited, he promoted the Russian state’s viewpoint in favour of the monarchy and full dimension of the Russian Empire’s state integrity, which led to his conservative position.

Eroticism in Fr. Franciszek Sawicki’s philosophy of love

Father Franciszek Sawicki is considered to be one of the most important philosophers of the interwar period in Poland. The problem of love must be regarded as one of the most significant among many issues he focused on in his research. Sawicki, one of the precursors of personalistic thinking, understands the essence of love as it functions in a personal relationship. Above all, we should distinguish two areas for the realisation of love: love in relation to God and love in relation to another human being. In both instances, Sawicki emphasises the need to take into account the "erotic moment" for the sake of full and proper understanding thereof. The erotic moment elucidates love as a force that engages not only the emotional and volitional spheres, but also the categorical and existential ones. This approach enables us to appreciate the full dimension of human sexuality as it pertains to the human being and ameliorate the tendency to depreciate or idolise it.

Full-Dimension Relative Positioning for RFID-Enabled Self-Checkout Services

Self-checkout services in today's retail stores are well received as they set free the labor force of cashiers and shorten conventional checkout lines. However, existing self-checkout options either require customers to scan items one by one, which is troublesome and inefficient, or rely on deployments of massive sensors and cameras together with complex tracking algorithms. On the other hand, RFID-based item-level tagging in retail offers an extraordinary opportunity to enhance current checkout experiences. In this work, we propose Taggo, a lightweight and efficient self-checkout schema utilizing well-deployed RFIDs. Taggo attaches a few anchor tags on the four upper edges of each shopping cart, so as to figure out which cart each item belongs to, through relative positioning among the tagged items and anchor tags without knowing their absolute positions. Specifically, a full-dimension ordering technique is devised to accurately determine the order of tags in each dimension, as well as to address the negative impacts from imperfect measurements in indoor surroundings. Besides, we design a holistic classifying solution based on probabilistic modeling to map each item to the correct cart that carries it. We have implemented Taggo with commercial RFID devices and evaluated it extensively in our lab environment. On average, Taggo achieves 90% ordering accuracy in real-time, eventually producing 95% classifying accuracy.

The impact of the Covid-19 pandemic on health and socioeconomic factors in Serbia and the analysis of the legislative response of the state

The pandemic of the disease caused by Covid-19 has been of unprecedented proportions thus far. The spread of the virus has an extremely invasive effect on all aspects of human life and activity around the planet. According to the fact that this is a novel virus still spreading, and whose effects are significantly reflected on people's everyday life and activity, its full dimension and consequences have not yet been fully understood. Regarding the issue itself, this scientific paper reviews the impact of the Covid-19 pandemic on the health systems of Serbia and the Western Balkans region as well as the impact of the pandemic on socioeconomic factors in Serbia. Furthermore, there is a brief analysis of the legislative response of Serbia in the field of protection of the population from infectious diseases, as well as in the field of prescribing mandatory preventive measures for labor safety and health. It also includes the prevention of the occurrence and spread of epidemics of infectious diseases in the work environment.

On a Method for Constructing a Linear Nonstationary Discrete System with Full-Dimensional Controlby Changing the Quantization Step

The method that allows one to reduce a stationary system with control of incomplete dimension to a non-stationary periodic system with control of full dimension is considered in this article. The paper proves the equivalence of these systems, and also that the optimal in terms of speed for a non-stationary system is also optimal for the original stationary system. A satellite attitude control system is considered as an example.