Acoustic spaces of Fritz Kater’s dramatic collages

The article examines the GDR Trilogy by Fritz Kater as a dramatic collage, characterized by the multiplicity and heterogeneity of its constituent elements, re-coding the meanings of each fragment in the context of the whole, synthesis of various dramatic and epic techniques, elements of music, painting and other types of arts. The relations of connection, repulsion, parallelism, contrast that arise between the scenes in the context of the trilogy are traced. The authors strategy of constructing an auditory image in the play is described. On the example of the first of the plays Vineta or Vodomania / Vineta or Oderwassersucht, 2001), the author analyzes the sound score written in the authors remarks, emphasizing the division of the piece into two parts according to the principle of the golden section. The motive analysis used in the article shows how the extra-musical sound palette of the play, built in the spirit of John Cage, reveals and enhances the motive of loss the main motive of the first movement, and the silence that occurred in the last scenes helps to highlight the shame-motive that arises in them. Musical fragments of the play are associated with the mythological image of the sunken city, the lost paradise, the flourishing Vineta.

MODELING OF ATOMIC SYSTEMS AND POSITIONING OF ELEMENTS OF NOBLE GASES OF THE PERIODIC TABLE BY PROPORTIONAL DIVISION METHOD

This paper studies regularities of proportional division, on the basis of which we show the possibility of effective application of the golden section method to modeling regularities of atomic systems and positioning of elements of noble gases of the periodic table. It is illustrated that by partial reconstruction of the Mendeleev tables, the elements of noble gases can be arranged along lines whose slope tangents in the coordinate system “the atomic number – the relative atomic mass” are in close agreement with the sequence of inverse Fibonacci numbers. It was shown that given the correct slope of axes, slope tangents of the corresponding lines does not change.

An Alternative Approach to Geometric Harmonization of the Great Mosque in Córdoba

This research constitutes an alternative to proportional composition studies of the original Great Mosque and its four extensions in Córdoba, based on diagonals of a square and rectangles in ratio 1:√2 and 1:√3 (Fernández-Puertas, 2000, 2008). The method for this alternative research consists of graphic analyses by iteration of hypothetical products of the golden section in AutoCAD 2D software conducted on architectural drawings of the original Great Mosque and its four extensions, in reconstruction, according to measurements from the relevant literature. The alternative method insists on geometric harmonization derived from only one starting length in all drawings of same scale. It resulted in the production of a single harmonization pattern based on the golden section, with an additional sequence of a√2/Φn, successively developed for the original monument and its four extensions. It also includes otherwise excluded basic composition elements (minarets) and reveals otherwise hidden proportional qualities. The alternative approach enabled a deduction of algebraic expressions having only one variable for all drawings of the same scale. Their arithmetic values and deviations from real dimensions are calculated. Geometric harmonization by golden section with another starting length is applied to the drawing of the elevation at a different scale.

Artificial Neural Network Assisted Variable Step Size Incremental Conductance MPPT Method with Adaptive Scaling Factor

In conventional adaptive variable step size (VSS) maximum power point tracking (MPPT) algorithms, a scaling factor is utilized to determine the required perturbation step. However, the performance of the adaptive VSS MPPT algorithm is essentially decided by the choice of scaling factor. In this paper, a neural network assisted variable step size (VSS) incremental conductance (IncCond) MPPT method is proposed. The proposed method utilizes a neural network to obtain an optimal scaling factor that should be used in current irradiance level for the VSS IncCond MPPT method. Only two operating points on the characteristic curve are needed to acquire the optimal scaling factor. Hence, expensive irradiance and temperature sensors are not required. By adopting a proper scaling factor, the performance of the conventional VSS IncCond method can be improved, especially under rapid varying irradiance conditions. To validate the studied algorithm, a 400 W prototyping circuit is built and experiments are carried out accordingly. Comparing with perturb and observe (P&O), α-P&O, golden section and conventional VSS IncCond MPPT methods, the proposed method can improve the tracking loss by 95.58%, 42.51%, 93.66%, and 66.14% under EN50530 testing condition, respectively.

A Global Optimization Algorithm for Unconstrained Non-linear Optimization Problems Using Chaotic Neuron Map and Golden Number

This paper presents aninnovative global multi-variable optimization algorithm using one of the best chaotic sequences, the neuron map, a description of which is also provided in the paper. The algorithm uses neuron map in the first stage to move near the global minimum point, as well as in each iteration of the second stage of local search that is done using the N-dimensional golden section search algorithm. The generation and mapping of the neuron variables to the optimization variables along with the stagewise search for the global minimum is explained conscientiously in the work. Numerical results on some benchmark functions and the comparison with a latest state-of-the-art algorithm ispresented in order to demonstrate the efficiency of the proposed algorithm.

Parametric modeling compressed ellipsoid of rotation as the analytic surface

The article deals with the shaping of the analytical surface in the form of a compressed ellipsoid of rotation. In the process of research, the principle of the golden section was applied, an ellipsoid of rotation with optimal parameters for the design of a large-span unique building of the exhibition complex was obtained. To solve the problem of choosing a rational analytical surface in the Lira-CAD software package, three variants of constructive solutions for the frame of the exhibition complex have been developed. The finite element method is used, the most popular numerical calculation method for studying the stress-strain state of large-span buildings and structures. The analysis of the calculation results made it possible to choose the optimal variant of the structural solutions of the building frame. The check of the dynamic characteristics of the proposed structural solution of the building frame is carried out. The obtained results of the dynamic calculation showed the correctness and efficiency of the adopted structural solutions of the building frame.

PROSPECTIVE TRENDS OF HARMONIOUS POSSIBILITIES IN OPTIMIZATION OF PRODUCTION SYSTEMS OF CONSTRUCTION

Purpose. Scientific formation of algorithmic support of construction organization and management processes with the use of metaheuristic methods in solving practical problems of optimal control of nonlinear dynamic production systems. Methodology. Use of metaheuristic methods of optimization, system analysis and system substantiation, use of methods of systems theory, use of methods of modeling theory for the purpose of perspective management of production systems of building branch on the basis of the general laws and principles of harmony. Results. The scientific formation of the concept of harmonious optimization of production systems of construction by the metaheuristic method of the golden section is performed. The scheme of work of the method of golden section in optimization problems of construction production is developed and the detailed visualization of this method on levels of symmetry is executed. The ways of application of the principles of harmonious management in the optimization of construction production systems in the direction of sustainable and logical development are substantiated. The components of harmonious production in improving the interaction of different departments and accelerating the response to rapid change, which will accelerate the level of success of any organization. Originality. The concept of harmonious optimization of production systems of construction by metaheuristic method of golden section is offered. The scheme of work of the method of golden ratio in optimization problems of construction production is developed and the detailed visualization of this method on levels of symmetry is executed. Practical value. The use of optimization measures to increase the efficiency of construction production is proposed to be implemented according to the developed basic algorithm for optimizing the functioning of the construction production system according to the concept of the golden ratio method. Conclusions. The substantiation of ways of application of principles of harmonious management in optimization of building production systems in the direction of steady and logical development is executed. The components of harmonious production in improving the interaction of different departments and accelerating the response to rapid change, which will accelerate the level of success of any organization. The result is the creation of all conditions for the harmonious interaction of performers and equipment at all levels of construction management, which confirms the need to develop modern approaches to production on the principles of harmony.