The aim of the paper is to present information from the literature concerning the course of electrochemical wastewater treatment processes in regard to organic micro-pollutant removal. Most often, in order to remove xenobiotics that are difficult to degrade biochemically, advanced oxidation processes and photochemical processes with or without catalysts are used. The efficiency of these processes can be supported by the flow of electric current through the solution being purified in a special system. This paper presents the theoretical foundations of processes such as electrocoagulation, electroflotation, and advanced chemical and photochemical oxidation supported by electric power. Among the processes where the Fenton’s reagent is the oxidant, the electro-Fenton and photo-electro-Fenton processes are also described. This information is supplemented with examples of the use of these processes for removal/degradation of selected organic compounds such as pesticides, dyes, pharmaceuticals, cosmetic ingredients, and other organic xenobiotics from wastewater.

This paper discusses the research and analysis of the dynamics of high-voltage generating systems. The test subject is an ignition system modelled by a set of two induction coils with an open ferromagnetic core that constitutes an ignition coil. The essence of the tests involved the application of magnetic coupling of the fractional order that enabled taking into account the non-idealities of the coils and the connector that implements the ignition point. The paper contains the results of a theoretical analysis, supported by digital simulations. The conducted experiments confirm the purposefulness of the conducted analyses and the possibility of modeling real objects based on circuits with fractional-order elements.

This paper presents the properties of fractional-order magnetic coupling. The difficulties connected with the analysis of two coils in dynamic states, resulting from the classical approach, provided motivation for studying the properties of fractional-order magnetic coupling. These difficulties arise from failure to comply with the commutation laws, i.e., a sudden power disappearance in the primary winding caused by a switch-mode power supply. Theoretically, under ideal conditions, a sudden power disappearance in the coil is, according to the classical method, manifested by a sudden voltage surge in the form of the Dirac delta function. As is well-known, it is difficult to obtain such ideal conditions in practice; the time of current disappearance does not equal zero due to the circuit breaker’s imperfection (even when electronic circuit breakers are used, the time equals several hundred nanoseconds). Furthermore, it is necessary to take into account phenomena occurring in real inductances, such as the skin effect, the influence of the ferromagnetic core and many other factors. It would be very difficult to model all these phenomena using classical differential calculus. The application of fractional-order differential calculus makes it possible to model them in a simple way by appropriate selection of coefficients and fractional-order derivatives. It should be mentioned that the analysis could be used, for example, in the case of high-voltage generation systems, including spark ignition systems of internal combustion engines. The use of fractional-order differential calculus will allow for more accurate modeling of phenomena occurring in such systems.

Bisphophonates (BPs) are a group of drugs used in treating bone diseases, which may lead to the development of the osteonecrosis of the jaw (ONJ). The negative impact of BPs on angiogenesis is among the causes of ONJ. The specific mechanisms of complications are unknown. What is taken into consideration is the trauma background, which, in combination with the implemented BP treatment, can induce bone necrosis. One of the possible consequences of necrotic change progression is the development of an oronasal fistula. Treatment generally requires a surgical intervention.The paper describes the course of treatment of an oronasal fistula in a patient with BP osteitis, currently using an upper denture. The fistula arose a year after the removal of a protruding sequestrum in the region of the hard palate. An attempt was made to treat the fistula by the mobilization of soft tissues from the palate and the bilayered closure of the fistula with the use of a pedicled connective tissue graft on the greater palatine artery, along with a Tinti-Parma-Benfenati (TPB) flap. The patient was subjected to appropriate post-procedural measures. Regular follow-ups did not reveal any abnormalities in the course of healing.The use of the abovementioned procedure proved to be an effective method of treatment of an oronasal fistula. The use of a pedicled connective tissue graft for the closure of the oronasal fistula caused by BP therapy had a significant effect on the treatment outcome.

The assessment of the impact of per unit length parameter errors on the determination of wave parameters, currents, and voltages at the end of the line has been presented in the paper. The impact on the above-mentioned values has been indicated. This paper presents an assessment of the impact of per unit parameter errors on the determination of both wave parameters, as well as currents and voltages at the end of a transmission line, although it is mainly focused on indicating which of the per unit parameters have the strongest impact on the above-mentioned values. For this purpose, elements of incremental sensitivity have been used.

W pracy przedstawiono operator rotacji w ujęciu pochodnych niecałkowitego rządu. Podjęto próbę wyznaczenia rotacji niecałkowitego rzędu, dla pól wektorowych oraz znalezienia jej interpretacji na gruncie mechaniki i teorii pól magnetycznych (na przykładzie obliczania natężenia pola magnetycznego powstałego od przewodnika wiodącego prąd elektryczny).