Origami is a means of geometric modeling and self-organization formation in young children. As a part of preschool education, it serves as propaedeutics of basic geometry. One of the tasks of modern education is to improve the social status of mathematics because of its ability to encourage self-development in children. The research was based on the synergetic paradigm which defines a young child as an open nonlinear system capable of self-development. The article gives a theoretical and conceptual justification of origami as a means of self-organization development through the nonlinear educational environment that introduces preschoolers to mathematical culture. Origami proved to be able to enrich preschool education as this activity concentrates the educational resources of the structure-forming environment.

The article views, that draw-backs of aircraft’s traditional air data systems (ADS), built based installed in incoming air flow and installed outside the fuselage the pitot tube booms, temperature braking receivers, vane sensors of incidence angle and gliding angle are eliminated in original ADS with motionless flush-mounted receiver of flow. The functional scheme of aircraft’s air data system with motionless flush-mounted receiver of flow, built based on the original ion-mark sensor of aerodynamic angle and true airspeed, on receiving board of which the hole-receiver is installed to perceive the static pressure of incoming air flow. Models of operator sensitivity and dynamic errors of instrumentation channels due to random stationary atmospheric turbulence and random flow pulsations at location of the ion-mark sensor on fuselage of the aircraft are presented. Recommended to use the optimal linear Wiener filter, the synthesis method of which is revealed on example of the true airspeed instrumentation channel to reduce the stationary dynamic errors of instrumentation channels of air data system with motionless flush-mounted receiver due to atmospheric turbulence. Recommended to use the principle of integration to reduce the stationary random dynamic errors of instrumentation channels of air data system with motionless flush-mounted receiver due to flow pulsations near fuselage at location of ion-mark sensor. Proposed to use aeromechanical measuring and computing system built based VIMI method with Luenberger observer as an additional component of integrated air data system. Integrated system simulates the movement of aircraft in this flight mode and by flight parameters measured with high accuracy using flush-mounted receivers "restores" air signals included in equations of movement of aircraft. The structure, method and algorithms for determining air signals in channels of aeromechanical measuring and computing system with a Luenberger observer are presented. Using the example of true airspeed measurement, the analysis and quantitative assessment of residual dynamic error of integrating channel of integrated aircraft’s air data system with motionless flush-mounted receiver of flow is carried out.

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The analyses of the traditional and developed means of measuring of parameters of airspeed vector, implementing aerometric and vane, vortex or ion-mark methods of parameters of incoming airflow are performed. The article discloses the theoretical foundations of building of the original electronic sensor of direction angle and module of airspeed vector of unmanned aircraft plane with ultrasonic instrumentation channels. The functional scheme of the electronic sensor is presented, the distinctive feature of which is using of two pairs of combined transmitters and receivers of ultrasonic vibrations propagating along and against the direction of incoming flow. Informative signals of ultrasonic instrumentation channels are registered by the measuring circuit including two instrumentation channels. The analytical models are obtained for forming and processing of informative signals, determining the parameters of airspeed vector of unmanned aircraft plane by frequency, pulse time and phase informative signals of ultrasonic instrumentation channels is presented, which are processing with built-in computer. The expediency of using frequency informative signals, excluding methodological errors of measuring airspeed, has been substantiated. The possibility of measuring the direction angle of airspeed vector in range ±180°without increasing the number of ultrasonic instrumentation channels is revealed. The competitive advantages and prospects of using the electronic sensor of airspeed vector parameters on small unmanned aircraft plane are considered. The obtained results are the theoretical basis for the development, error analysis and ensuring the accuracy of the electronic sensor of parameters of airspeed vector with ultrasonic instrumentation channels for small-sized unmanned aircraft planes of various classes and purposes.

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