In this paper we consider the formation of such an indicator of the urban environment as comfort. The aim of the study is to identify factors affecting this indicator and to draw up possible development paths in the conditions of our country. The main method used to study this topic is the analysis of received information on carrying out activities in foreign countries. As a result, it has been concluded that some projects can be implemented in Russia, but this topic requires more detailed study, as well as the development and implementation of a large number of projects in order to create a truly comfortable urban environment.

The aim of the work is to develop an algorithm for designing building constructions, namely their geometric construction (the geometrical location of points) in the form of an expression using the formula (equation) of geometric property of construction expressed in the projection by nonlinear functions. The article gives an algorithm for finding analytical dependencies of nonlinear functions used in applications. You must select a coordinate system before composing the curve equation. The type of the desired equation depends on the choice of the coordinate system. There are no rules that could guide one in choosing a coordinate system, and the ability to make the most rational choice is given only by experience. In this paper, the examples of the choice of coordinate systems show the form of functions, namely, their simplification. In some cases, geometric construction is the only way to present a graphic image of the building structure itself, no matter how complex it may be in the Cartesian coordinate system. The polar coordinate system is presented here as an alternative for unique structures and structures of increased complexity in the Cartesian coordinate system. This is achieved by establishing a relationship between the current coordinates of the point located on the projection of the construction and constants characterizing the properties of this construction, called a function on the plane and a surface in space in researches. The prospect of this approach has proven itself: in the construction of exquisite palace temples, beautiful architectural ensembles that make the space surrounding a person comfortable.

Purpose of reseach is to analyze the practice in the application of surfaces formed by the movement of a straight line. It is known that among the second-order surfaces cones, cylinders, hyperboloids of one sheet and hyperbolic paraboloids, as well as lines represented in the polar coordinate system in the form of intricate shapes that can be represented in space by the above-mentioned surfaces, adding a third dimension, have rectilinear generators. The strength resulting from covering each point of the listed surfaces with straight lines from different families does not make the structure heavier but strengthens it and makes it light compared to monoliths without reinforcements made of other materials, in which stability is not based on Shukhov calculation formulas. Methods Finding families of rectilinear generators for second-order surfaces calculation of which is based on the separation of equations that represent a second-order surface as a difference of squares in one part of the equation and as a product with an arbitrary parameter in the other part. Results. Analyzing second-order surfaces, we came to the conclusion that cones, cylinders are prone to this method of Shukhov calculations; equation of the form F (x,y)=0 in space defines a cylindrical surface whose generators are parallel to axis oz. Similarly, F (x, z)=0 defines a cylindrical surface with generators parallel to axis oy and F (y;z)=0 is a cylindrical surface with generators parallel to axis ox. A hyperboloid of one sheet, hyperbolic paraboloid, i.e. 10 surfaces out of 14, make up more than 70%. Conclusion. As a result of applying these formulas for calculating reinforced building structures, city buildings will acquire a new appearance, which will create a comfortable environment for residents, as well as lead to saving construction material resources.

The role of symbols in art and computer graphics for correct plot understanding, when viewing works of art in an electronic library is considered. Special emphasis is placed on mathematical symbols, revealing abstraction beauty side in mathematics and its penetration into artistic images and the spots created by the artists. Due to computer database artist's original intention can be decoded . Based on the semantic meanings of mathematical symbols they are considered to be fundamental pillars in the art of computer graphics: the Universe, the spiritual human development, continuity and discretion, the truth in the search of solving universe problems. Human's willness to develop space implies constructive activities for peaceful purposes when developing new technologies. Analyzing the development of spatial layers by life, we conclude that the emergence of the social and ecological system is aimed to develop new tiers in evolution development, but no to remake developed lower tiers of the existing flora and fauna, and not to achieve world domination. Nature expected the appearance of a mankind for constructive activitiesties in the space exploration. This is evidenced by the activities of Tsiolkovsky, Korolev, Gagarin. Instead of developing new living spaces and living peacefully with all representatives of flora and fauna, mankind conflics destroying everything around including Itself. The notions 'chance', 'luck' acquire visial representation thanks to computer graphics in accordance with the edu-cational standards indicating certain amount of academic hours given to mathematics, including modeling, and the-oretical-probabilistic methods of research, processing of experimental results.

M ethod of determ ining the state of the haul road career in the managem ent of the interaction between robotic elements of the mining transportation complex.