The role of Russian pianists in the formation of accompaniment art

The Russian tradition of piano performance has been winning international recognition for several centuries. The names of S.V. Rachmaninoff, S.T. Richter, K.N. Igumnov, A.B. Goldenweiser and others, are inscribed in the history of the piano music and pedagogics. At the same time, such a sphere as accompaniment remains unheralded. The author of the research attempts to estimate the role of the above mentioned pianists in the formation of accompaniment art. Based on the analysis of the experience of performance and pedagogical work of the pianists, the author reveals their importance for the development of the Russian accompaniment tradition. This topic hasn’t been critically considered and analyzed. However, the history of piano music is rich in examples when concert pianists take on the role of accompanists. Their contribution to the practice of ensemble performance has influenced the development of accompaniment art. The work of S.V. Rachmaninoff, S.T. Richter, K.N. Igumnov, and A.B. Goldenweiser has influenced various aspects of accompaniment art: the extension of functions of an accompanist; the importance of the role of an accompanist in the interpretation of music pieces; the extension of the pedagogical function of an accompanist in the ensemble; the formation of a methodological background based on the accompaniment experience.   

On functions with the boundary Morera property in domains with piecewise-smooth boundary

The problem of holomorphic extension of functions defined on the boundary of a domain into this domain is actual in multidimensional complex analysis. It has a long history, starting with the proceedings of Poincaré and Hartogs. This paper considers continuous functions defined on the boundary of a bounded domain $ D $ in $ \mathbb C ^ n $, $ n> 1 $, with piecewise-smooth boundary, and having the generalized boundary Morera property along the family of complex lines that intersect the boundary of a domain. Morera property is that the integral of a given function is equal to zero over the intersection of the boundary of the domain with the complex line. It is shown that such functions extend holomorphically to the domain $ D $. For functions of one complex variable, the Morera property obviously does not imply a holomorphic extension. Therefore, this problem should be considered only in the multidimensional case $ (n> 1) $. The main method for studying such functions is the method of multidimensional integral representations, in particular, the Bochner-Martinelli integral representation.

Extension of functions of cartographic images for transmission of geospatial information on mobile devices

The article is devoted to the issue of expanding the functions of cartographic images for transmitting geospatial information using mobile devices. It discusses the functions of mobile mapping applications. Based on the classification of the main types of perception, a study was conducted on the correlation of user-accepted geospatial information with the means of its transmission. Since modern mobile technologies make it possible to obtain cartographic information with the help of visual, auditory, tactile perception, and also make it possible to sense space, movement and time, the map in combination with these types of perception becomes more intuitive. Actual in the visualization of the cartographic image on the screen of the mobile device is the question of exploring the user interface and displaying the contents of the map at different scale levels. In this regard, the requirements for interfaces are generalized, the principles necessary for the development of the interface of cartographic applications are formulated and presented, based on the condition: “Conditional sign — interface element”. The proposed principles can be divided into three groups: principles that define the general issues of building the interface of mobile cartographic applications, their structure as a whole and user interaction; principles governing the design of the interface of mobile cartographic applications; principles governing the development of mobile cartographic applications, taking into account the features of their use and new technical capabilities. Using the example of level-by-level compilation of elements of navigation charts, a conclusion is drawn on the correspondence between the display of spatial information on a mobile device and the user's perception of reality. Generalized features of cartographic image visualization in mobile devices, such as: intuitive readability, map adaptability, generalization by motion factor, multiscale and multimedia.

GENERAL CONCEPT FOR DEVELOPMENT OF UNIVERSAL LASER SCANNERS FOR CONSTRUCTION AND EXPLOITATION OF MAIN GAS PIPELINES

The article is devoted on development of general concept for development of diagnostic-geodesy laser scanners useful for both the geodesy support of construction and exploitation of main gas pipelines. The carried out review of existing works on such an extension of functional capabilities of laser scanners in direction of combination of geodesy and diagnostic functions of laser at the stages of construction and exploitation of gas pipelines shown absence of any works in such direction. The possibility of technical realization of such extension of functions of laser scanner are considered. The general task on development of laser scanners operating in infrared band for construction and exploitation of gas pipelines is formulated. Optimization of functioning regime of laser scanner working in regime of detection of gas leaks in main gas pipelines is carried out. Synthesis of specialized laser scanner capable to realize functions of geodesy laser scanner during pipeline construction and functions of diagnostics that is detection of gas leaks in stage of pipeline exploitation is carried out. It is shown that technical realization of calculated optimum interrelation between main functional parameters of the system can be realized during serial measurements by organization of adaptive control of laser beam power depending on distance between measuring instrument and gas pipeline. At the same time the system should be equipped by laser distance meter included into gas leak detection system operating in adaptive regime.