General exact solvability conditions for the initial value problems for linear fractional functional differential equations

summary:Conditions on the unique solvability of linear fractional functional differential equations are established. A pantograph-type model from electrodynamics is studied

Współczesny tekst literacki jako źródło polskiej frazeologii potocznej na zajęciach z języka polskiego jako obcego

W referacie pokazano rolę współczesnej prozy polskiej w nauczaniu studentów polonistyki lwowskiej frazeologizmów stylu potocznego używanych w nieoficjalnym, spontanicznym typie kontaktów językowych. Podano przykłady ćwiczeń, których podstawą stały się autentyczne utwory – cztery współczesne powieści polskie autorstwa Joanny Fabickiej.The article presents the role of modern Polish prose in the process of teaching colloquial phraseology used in nonofficial, spontaneous language contacts to Ukrainian-speaking students. The types of exercises based on four authentic modern Polish novels by Joanna Fabicka are included

Evaluation of Microbial profile in Dental Unit Waterlines and Assessment of Antimicrobial Efficacy of Two treating Agents

This study was carried out in the department of pedodontics &preventive dentistry to enumerate and identify the microorganisms present in water samples collected from dental unit waterlines of different dental speciality clinics and to find out the efficacy of two treating agents in disinfecting dental unit waterlines. Sample included 70 dental unit waterlines from different speciality dental clinics which were checked for microbial contamination. From these dental units 40 units were randomly selected and divided into two groups of 20 each. Group A, treatment was done in 20 dental units with 0.2% Chlorhexidine gluconate solution and Group B, treatment was done in 20 dental units with 10% Povidone iodine solution and the reduction in the microbial levels were assessed. Five dental units were randomly selected and checked the microbial contamination using mineral water, sterile distilled water, fresh tap water as a water source in the dental unit reservoir bottles. Five dental units were randomly selected to collect water samples from three different water outlets such as handpiece lines, air/water syringe and scaler lines and microbial contamination were checked. Also from the test group, five from each group were checked for the duration of efficacy of treating agent for one week by analyzing the water samples collected on 3, 5 and 7 day intervals. From the results we can infer that most of the identified microorganisms comprise of Gram negative and pseudomonas predominating up to 98.59% of the total isolates. Usage of disinfectants 0.2% Chlorhexidine and 10% Povidone Iodine were found to be very effective in reducing the microbial contamination and 10% Povidone iodine was found to be more efficient (97.13%) and active for a period of 3 days and gradually loosing its efficacy by 7th day. No significant difference were found in microbial contamination of water samples collected from different water outlets such as handpiece outlets, air water syringe outlets, scaler lines. According to the study results either mineral water or sterile distilled water can be preferred to fresh tap water as reservoir source in dental unit waterlines. Therefore to maintain the sterility of dental unit waterlines it is essential to have a good water source and an effective disinfectant. CONCLUSION : 1. All the test dental units showed microbial contamination which was polymicrobial in nature. 2. Most of the identified microorganisms comprise of Gram negative bacteria and Pseudomonas (98.59%) was found to be the most prevalent organism. 3. 0.2% Chlorhexidine showed 86.2% reduction in the microbial contamination. 4. 10% Povidone Iodine showed 96.14% reduction in microbial contamination. 5. 10% Povidone Iodine was found to be more effective compared to 0.2% Chlorhexidine (P<0.001). 6. Mineral water or sterile distilled water preferred to fresh tap water as a reservoir source. 7. No significant difference was found in microbial contamination of water samples collected from different water outlets such as handpiece outlets, air water syringe outlets, scaler lines (P value 0.996). 8. 0.2% Chlorhexidine can be used as an effective treating agent on daily basis. 9. 10% Povidone Iodine can be used as an effective treating agent on every 3rd day basis for microbial control

Crimes against humanity in the conditions of military conflicts of the 21st Century: The practice of international courts

Despite the existence of norms of international public law regulating the conduct of war, during military conflicts, states completely ignore the established rules of war and go beyond common sense, committing crimes against humanity, organizing terrorist acts, and other illegal acts. In conditions where violations of the norms and rules of hostilities become a trend, it is important to investigate how international humanitarian law regulates armed conflicts, as well as the practice of international courts regarding the consideration of cases of crimes against humanity in the context of military conflicts of the 21st century. The purpose of the work is to study the practice of international judicial authorities in the investigation of crimes against humanity in the context of military conflicts of the 21st century. The research methodology consists of such methods as historical-legal, system analysis method, logical-semantic method, methods of documentary analysis, critical evaluation, and comparison. As a result of the conducted research, the peculiarities of consideration of cases regarding the commission of crimes against humanity in the conditions of military conflicts of the XXI century by international judicial bodies were considered. Thus, the concept of crime against humanity, and war crime were formed, signs of such crimes were identified, and proposals were formed to improve international legislation in terms of regulating international crimes and ways to increase the effectiveness of activities to prosecute those guilty of war crimes

On a Class of Functional Differential Equations with Symmetries

It is shown that a class of symmetric solutions of scalar non-linear functional differential equations can be investigated by using the theory of boundary value problems. We reduce the question to a two-point boundary value problem on a bounded interval and present several conditions ensuring the existence of a unique symmetric solution

Robust Active Noise Control System for Fighter Aircraft Pilot Helmet Application

This paper proposes an Active Noise Control (ANC) scheme for fighter aircraft pilot helmet application. The proposed scheme addresses the noise environment inside the helmet to achieve perceivable noise attenuation. It also incorporates algorithms such as energy based detectors to control the operation of ANC system and variable step-size to increase the performance of ANC, to make the system robust. The paper highlights the real-time algorithm development on a DSP processor to meet the real-time resource constraints. The developed ANC system is evaluated in the laboratory for a typical fighter aircraft noise and the results when compared with the performance of existing system, found to be quite promising

On the unique solvability of a non‐local boundary value problem for linear functional differential equations

General conditions are obtained for the unique solvability of a non‐local boundary value problem for systems of linear functional differential equations. First Published Online: 14 Oct 201