Matrix pencils with the numerical range equal to the whole complex plane

The main purpose of this article is to show that the numerical range of a linear pencil $\lambda A + B$ is equal to $\mathbb{C}$ if and only if $0$ belongs to the convex hull of the joint numerical range of $A$ and $B$. We also prove that if the numerical range of a linear pencil $\lambda A + B$ is equal to $\mathbb{C}$ and $A + A^*, B + B^* \geq 0$, then $A$ and $B$ have a common isotropic vector. Moreover, we improve the classical result which describes Hermitian linear pencils.Comment:

Combined electricity from renewable energy sources

Проаналізовано можливості енергоефективного генерування енергії від декількох одночасно працюючих енергоустановок на основі поновлюваних джерел енергії.The possibilities of energy-efficient power generation from several co-operating power plants on the basis of renewable energy sources are analyzed

Anticipatory Resource of Temporary Regulation of Sensorimotor Action

The aim of the study is to determine the composition and functional significance of anticipatory resources in the process of temporal regulation of sensorimotor action.Materials and methods. The subjects were male (35 people) and female (31 people) students. The tasks of a simple sensory response, a choice reaction (three alternatives), and a “double choice” were implemented in a computer version of the experiment. In the “double choice” task, the stimulation variation was first provided (possible stimuli: one or three), and then a stimulus for a fast motor response was presented after some time, the orientation time (independent variable). Results. The participants’ initial reaction to the option with three alternative stimuli in the “double choice” task was negative. The time of the motor response falls linearly as the orientation time increases in both the male and female groups for the variant with one possible stimulus and the frequency of anticipatory effects and premature actions increases in a quadratic pattern. It must be noted that with enough orientation time, determining the expected duration of the sensorimotor action is quite straightforward. It was demonstrated that, in the presence of a margin of orientation time, operational estimates and revisions of the time required to accomplish an action dramatically improve the likelihood of anticipatory effects. Conclusions. Actualization of the anticipatory resource (which includes temporary memory standards, the ability to accurately determine and correlate the durations of processes and time intervals, time estimation skills, and individual characteristics that influence decision making) ensures the determination of the total duration of a sensorimotor action, prompt correction of its implementation, and a significant reduction in the time it takes to respond to a motor stimulus.</p

Effects of Once-Weekly Exenatide on Cardiovascular Outcomes in Type 2 Diabetes

BACKGROUND The cardiovascular effects of adding once-weekly treatment with exenatide to usual care in patients with type 2 diabetes are unknown. METHODS We randomly assigned patients with type 2 diabetes, with or without previous cardiovascular disease, to receive subcutaneous injections of extended-release exenatide at a dose of 2 mg or matching placebo once weekly. The primary composite outcome was the first occurrence of death from cardiovascular causes, nonfatal myocardial infarction, or nonfatal stroke. The coprimary hypotheses were that exenatide, administered once weekly, would be noninferior to placebo with respect to safety and superior to placebo with respect to efficacy. RESULTS In all, 14,752 patients (of whom 10,782 [73.1%] had previous cardiovascular disease) were followed for a median of 3.2 years (interquartile range, 2.2 to 4.4). A primary composite outcome event occurred in 839 of 7356 patients (11.4%; 3.7 events per 100 person-years) in the exenatide group and in 905 of 7396 patients (12.2%; 4.0 events per 100 person-years) in the placebo group (hazard ratio, 0.91; 95% confidence interval [CI], 0.83 to 1.00), with the intention-to-treat analysis indicating that exenatide, administered once weekly, was noninferior to placebo with respect to safety (P<0.001 for noninferiority) but was not superior to placebo with respect to efficacy (P=0.06 for superiority). The rates of death from cardiovascular causes, fatal or nonfatal myocardial infarction, fatal or nonfatal stroke, hospitalization for heart failure, and hospitalization for acute coronary syndrome, and the incidence of acute pancreatitis, pancreatic cancer, medullary thyroid carcinoma, and serious adverse events did not differ significantly between the two groups. CONCLUSIONS Among patients with type 2 diabetes with or without previous cardiovascular disease, the incidence of major adverse cardiovascular events did not differ significantly between patients who received exenatide and those who received placebo. (Funded by Amylin Pharmaceuticals; EXSCEL ClinicalTrials.gov number, NCT01144338.

Особливості формування національного інформаційного простору України: від радянської системи ЗМІ до демократичної моделі

Об’єкт дослідження – національний інформаційний простір України від функціонування медійного контенту у радянські часи до демократичної преси сьогодення. Предмет дослідження – вивчення особливостей типології мас-медіа України, їх жанрової парадигми, проблемно-тематичної спрямованості, мовно-стилістично- візуального оформлення. Мета науково-дослідної роботи – розглянути головні типологічної структури засобів масової інформації України в історичному і сучасному аспектах, виявити їх жанрово-тематичний контент, мовно-стилістичні ознаки впливу на аудиторію

Дослідження історичного розвитку фізичного виховання як педагогічної системи у навчальних закладах професійно-технічної освіти (1950–1990 рр.)

This article deals with development of tasks, content, forms and methods of students physical education in Ukrainian vocational schools as the pedagogical process of mastering the values of physical culture. The historical and pedagogical experience of formation of the concept of the skilled workers physical training in 50-90s of XX century and its development as the modern pedagogical system was analyzed, systematized and generalized. The little-known facts and important archival legal documents and regulations on organization and development of the system of the vocational schools students physical education in Ukraine during the investigated period were introduces in to scientific literature. Purpose. The use of historical and pedagogical experience to create a modern model of compulsory physical education of future skilled workers requires the study of the main tendencies of the development of physical education as a pedagogical process in educational institutions for the training of skilled workers in Ukraine in 1950-1990 and the search for ways of revival in the educational field of today sports and recreational innovations that were realized in the process of mastering the values of physical culture of that time. Methods. General scientific: analysis, synthesis, comparison, generalization, systematization that contributed to study of historical and educational phenomena, facts, creative works of scientists in the sphere of theory and practice of the vocational schools student’s’ physical education during the investigated period. Special historical and pedagogical: search-bibliographic (for studying, analysis, systematization of archival documents, library materials, printed sources concerning the research problem), historical and structural (for study of historical and educational phenomena chronology), historical-comparative (to identify tendencies in development of Ukrainian vocational schools students’ physical education during the investigated period) and the methods of theoretical generalization (for formulation and justification of conclusions of carried out research, identification of the ways of scientific work usage in modern conditions). Results. It was proved that educational system of physical education in 50-90s of the XX century included directions of general, professional-oriented and sport-oriented physical education, which were united only purpose, objectives and principles. The practical significance of the obtained results is that analyzed and generalized experience of physical education development as the pedagogical process in Ukrainian vocational schools during the investigated period may be used for future historical and pedagogical research; introduction it into the modern concept of the vocational students physical training, which will facilitate formation of their physical qualities necessary for successful mastering the future profession and achievement of high professional experience; increase of professional competence of teachers of physical education

Measuring device for photovoltaic modules electrical characteristics testing

There has been developed and produced a measuring device for measuring the electrical characteristics of photovoltaic modules. It has been experimentally tested. Its Volt-Ampere and Volt-Watt dependencies on its temperature and radiation spectrum have been collected. There have been made conclusions about device visible range spectrum radiation sensitivity and its effectiveness drop with temperature growth