Mathematical apparatus for shallow-depth electromagnetic scanning device

The paper presents a geometric theory of multidimensional interpolation based on invariants of affine geometry. The analytical description of geometric interpolants is performed within the framework of the mathematical apparatus BN-calculation using algebraic curves that pass through preset points. A geometric interpretation of the interaction of parameters, factors, and the response function is presented, which makes it possible to generalize the geometric theory of multidimensional interpolation in the direction of increasing the dimension of space. The conceptual principles of forming the tree of the geometric interpolant model as a geometric basis for modeling multi-factor processes and phenomena are described.

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Development of gas hydrates the modern technologies

Proceedings of the Mavlyutov Institute of Mechanics ◽

10.21662/uim2010.1.018 ◽

2010 ◽

Vol 7 ◽

pp. 202-210

Author(s):

V.V. Khabirov ◽

S.V. Khabirov

Keyword(s):

Porous Medium ◽

Phase Change ◽

Gas Hydrates ◽

Gas Production ◽

Mathematical Apparatus ◽

Modern Technologies

The scheme of gas production from gas hydrates on underwater slopes is offered. The existing modern technologies which have to be used are listed. The mathematical apparatus for calculations describes a filtration of polyphase environments in the relative frame elastic porous medium with phase change.

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NETWORK MODELS AS A SOLUTION FOR COMPLEX TECHNICAL PRODUCT`S DIAGNOSING PROBLEMS SOLVING

Issues of radio electronics ◽

10.21778/2218-5453-2019-2-38-42 ◽

2019 ◽

pp. 38-42

Author(s):

S. Yu. Strakhov ◽

A. A. Karasev

Keyword(s):

Complex System ◽

System Analysis ◽

Network Models ◽

Functional Testing ◽

Formal Models ◽

Mathematical Apparatus ◽

Complex Technical Systems ◽

Technical Systems ◽

Formalized Description ◽

Diagnostic Software

Authors explore issue of applicability of the methodology of building diagnostic software using network formal models in the functional testing of electronic equipment as part of complex technical systems. Using methods of system analysis allows to perform a decomposition of interdependent subsystems and to reveal basic acts of interaction between the control‑verification equipment and the object of diagnosis. Mathematical apparatus of Petri nets should be employed for the formalized description of such acts and determined the cause‑and‑effect relations in the diagnosed complex system`s processes. Network models properties studying (such as safety and accomplishment of the final positions) allows us to move to the test object`s algorithm`s developing. The article presents an approach of a formalized description for basic acts of interaction between the diagnosis system and the object.

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Digital Technologies – Innovative Solutions for Agriculture

Elektrotekhnologii i elektrooborudovanie v APK ◽

10.22314/2658-4859-2020-67-1-127-132 ◽

2020 ◽

Vol 67 (1) ◽

pp. 127-132

Author(s):

Marina A. Nikitina ◽

Dmitriy N. Osyanin ◽

Irina V. Petrunina

Keyword(s):

Farm Animals ◽

High Tech ◽

Mathematical Apparatus ◽

Online Mode ◽

Cell Matrix ◽

Algorithmic Support ◽

Quality Product ◽

A Cell ◽

Parametric Description ◽

Animal Feeding

High-tech decision support systems based on the knowledge of experts in the field of animal feeding and a rigorous mathematical apparatus make it possible to increase the productivity of the animals and provide a high-quality product with the ability to trace the trophological chain from the field to the counter. (Research purpose) To identify methodological approaches for the development of algorithmic support and software for assessment and optimizing the animals diet. (Materials and Methods) The authors complied a structural-parametric model of a productive animal feeding in a cell matrix form. They represented the whole variety of existing known and unknown relationships between the factors of the farm animal state and the feeding ration characteristics. It was found that when forming a feeding ration, it was necessary to assess the degree of influence on productivity of not individual indicators, but its combination. (Results and discussion) The authors considered parametric descriptions of farm animals; diet with selected groups of indicators, characteristics and properties. It was stated that the parametric description of feeding contained a set of parameters taking into account at least 25 nutritional indicators. They presented a mathematical apparatus for evaluating and optimizing the feeding ration. It was determined that the automation of the process of calculating the daily ration of an animal allowed to change the diets depending on the availability of feed in the farm and their chemical composition in real time. The authors found out that an increase in the productivity of animals and poultry by 30-50 percent was possible due to balanced full-fledged feeding. (Conclusions) The authors showed a systematic approach to the development of software for evaluating and optimizing the animal feeding diet. It was revealed that a computer system in the online mode would help to find the best option for a feeding ration, taking into account multifactor and limitations.

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