The probability of SWF occurrence in relation to solar activity

Solar terrestrial researches have revealed substantial meaning of nonsteady events on the Sun, mainly solar flares, for the processes taking place in ionosphere. Solar flares result in the numerous consequences, account and prediction of which become necessary in our days. It is well known, that ionospheric disturbances following solar flares cause strong disturbances in the ionosphere, which severely violate radio systems (communication, navigation, etc.). Possibilities of sudden short wave fadeouts (SWF) prediction are considered

Symmetry adapted ro-vibrational basis functions for variational nuclear motion calculations: TROVE approach

We present a general, numerically motivated approach to the construction of symmetry adapted basis functions for solving ro-vibrational Schr\"{o}dinger equations. The approach is based on the property of the Hamiltonian operator to commute with the complete set of symmetry operators and hence to reflect the symmetry of the system. The symmetry adapted ro-vibrational basis set is constructed numerically by solving a set of reduced vibrational eigenvalue problems. In order to assign the irreducible representations associated with these eigenfunctions, their symmetry properties are probed on a grid of molecular geometries with the corresponding symmetry operations. The transformation matrices are re-constructed by solving over-determined systems of linear equations related to the transformation properties of the corresponding wavefunctions on the grid. Our method is implemented in the variational approach TROVE and has been successfully applied to a number of problems covering the most important molecular symmetry groups. Several examples are used to illustrate the procedure, which can be easily applied to different types of coordinates, basis sets, and molecular systems

Innovational outsourcing in construction enterprises’ activity

Визначено особливості впровадження інноваційного аутсорсингу в діяльності будівельних підприємств і виокремлено основні фактори, які впливають на зазначений процес.The features of the implementation of innovative outsourcing in the construction enterprises’ activities are described, and the main factors that influence this process are singled out

Correction of artificial jumps in the historical geomagnetic measurements of Coimbra Observatory, Portugal

The Coimbra Magnetic Observatory (International Association of Geomagnetism and Aeronomy code COI) in Portugal has a long history of observation of the geomagnetic field, spanning almost 150 yr since the first geomagnetic measurements in 1866. These long instrumental geomagnetic records provide very important information about variability of geomagnetic elements and indices, their trends and cycles, and can be used to improve our knowledge on the sources that drive variations of the geomagnetic field: liquid core dynamics (internal) and solar forcing (external). <br><br> However, during the long life of the Coimbra Observatory, some inevitable changes in station location, instrument's park and electromagnetic environment have taken place. These changes affected the quality of the data collected at COI causing breaks and jumps in the series of geomagnetic field components and local K index. Clearly, these inhomogeneities, typically shift-like (step-like) or trend-like, have to be corrected or, at least, minimized in order for the data to be used in scientific studies or to be submitted to international databases. <br><br> In this study, the series of local K index and declination of the geomagnetic field are analysed: the former because it allows direct application of standard homogenization methods and the latter because it is the longest continuous series produced at COI. For the homogenization, visual and statistical tests (e.g. standard normal homogeneity test) have been applied directly to the local geomagnetic K index series (from 1951 to 2012). The homogenization of the monthly averages of declination (from 1867 to 2012) has been done using visual analysis and statistical tests applied to the time series of the first differences of declination values, as an approximation to the first time derivative. This allowed not only estimating the level of inhomogeneity of the studied series but also detecting the highly probable homogeneity break points. These points have been cross-checked with the metadata, and the COI series have been compared with reference series from the nearest geomagnetic stations and, in the case of declination series, from the recent geomagnetic field model COV-OBS to set up the required correction factors. As a result, the homogenized series measured in COI are considered to be essentially free of artificial shifts starting from the second half of the 20th century, and ready to be used by the scientific community

Volume of the quantum mechanical state space

The volume of the quantum mechanical state space over $n$-dimensional real, complex and quaternionic Hilbert-spaces with respect to the canonical Euclidean measure is computed, and explicit formulas are presented for the expected value of the determinant in the general setting too. The case when the state space is endowed with a monotone metric or a pull-back metric is considered too, we give formulas to compute the volume of the state space with respect to the given Riemannian metric. We present the volume of the space of qubits with respect to various monotone metrics. It turns out that the volume of the space of qubits can be infinite too. We characterize those monotone metrics which generates infinite volume.Comment: 17 page

Cultural field of contemporary Russia: renewable model of Piera Burdier

The cultural trends of modern Russia are now being considered more and more often. This is due to the emergence of new unprecedented cultural trends. For example, the culture of communication in social networks or the occupation of scrapbooking, more and more gaining popularity. In the mid-twentieth century, a French sociologist, Pierre Bourdieu, proposed a model combining, and at first glance, completely different indicators, such dimensions as the economic level of the population and their cultural indicators. The model also depicted the dependence of these capitals and the political views of different social groups. In this article, an analysis of the cultural field of modern Russia, the compilation of which corresponds to the Bourdieu model, is presented. Based on the location of the axes of cultural and economic capital, neglecting political ideologies. This is due to the author's desire to consider and present the model exclusively from the socio-economic positions, excluding political developmentКультурные тенденции современной России сегодня рассматриваются всё чаще и чаще. Это связано с появлением новых беспрецедентных культурных тенденций. Например, культура общения в социальных сетях или занятие скрапбуккингом, всё больше набирающее популярность. В середине XX века французским социологом Пьером Бурдьё была предложена модель, объединяющая, а первый взгляд абсолютно разные показатели, такие измерения, как экономический уровень состояния населения и их культурные показатели. Модель изображала также зависимость этих капиталов и политические взгляды разных социальных групп. В данной статье приведен анализ культурного поля современной России, составление которого соответствует модели Бурдьё. За основу было взято расположение осей культурного и экономического капиталов, пренебрегая политическими идеологиями. Это связано с желанием автора рассмотреть и представить модель исключительно с социально-экономических позиций, исключая политическое развитие