The mathematical theory of classification contains a large number of approaches, models, methods, algorithms. This theory is very diverse. We distinguish three basic results in it - the best method of diagnosis (discriminant analysis), an adequate indicator of the quality of discriminant analysis algorithm, the statement about stopping after a finite number of steps iterative algorithms of cluster analysis. Namely, on the basis of Neyman - Pearson Lemma we have shown that the optimal method of diagnosis exists and can be expressed through probability densities corresponding to the classes. If the densities are unknown, one should use non-parametric estimators of training samples. Often, we use the quality indicator of diagnostic algorithm as "the probability (or share) the correct classification (diagnosis)" - the more the figure is the better algorithm is. It is shown that widespread use of this indicator is unreasonable, and we have offered the other - "predictive power", obtained by the conversion in the model of linear discriminant analysis. A stop after a finite number of steps of iterative algorithms of cluster analysis method is demonstrated by the example of k-means. In our opinion, these results are fundamental to the theory of classification and every specialist should be familiar with them for developing and applying the theory of classification
The article has identified, systematized and ranked by priority the factors that contribute to the content, structure and efficiency of production and the technological infrastructure of the agri–food market in the Republic of Adygea and determine the growth and improvement of product quality, the degree of resource-saving and productivity growth that allowed us to substantiate the steps of determining the level of development in the infrastructural support on the basis of building relevant factors according to their impact on the competitiveness of producers and the region as a whole. Based on the analysis of the current state of production and technological infrastructure of the agri–food market in the Republic of Adygea, we proved the need to reduce the complexity of the production processes through automation and mechanization of the most labor–intensive elements of resource and storage technologies and diversification of them through long–term storage of agri–food products. By calculating the warehouse stock and the needs of identified storage capacity we decided to reduce the unit cost for storage of agricultural products, which allowed proving return on investment in the development of resource–saving technologies in the organization of distribution logistics facilities in the region. We prove the economic feasibility of investment in on–farm storage organization of fruit and vegetables in the agricultural organizations of the Republic of Adygea in a significant seasonal shift of purchase prices and increased cost of the services of third–party storage facilities, allowing more specific ways to enhance the competitiveness of warehouses and facilities of industrial and technological infrastructure of agri-food market in general
The key stage of clonal micropropagation, the micropropagation sensu stricto, affords to increase the propagation index for plants, especially perennials. In this study, we consider ways to optimize clonal micropropagation of remontant raspberry cultivars. It is found that microsprout regeneration rate is 78,5–96,0 % on the multiplication s. str. stage. The most multipurpose nutrient medium is selected with containing 0,5 mg/l both of BAP and GK. When one uses this medium, regeneration rate runs 79,0–94,0% depending on genotype with sprout high running 24,8–32,7 mm and sprout number – 1,2–2,2 per node. The optimal duration of growing cycle is 30 days with the propagation index within 6,6–7,8, depending of genotype
Progress of breeding for resistance to diseases, pests
and low temperatures is provided by cross-species
hybridization. Institute of Vine and Wine "Magarach"
is one of the leading centers of selection of grapes in
the world. The breeding program of deducing grapes at
the institute is based on the study and attracting the
world's gene pool, including and industrial of the
Russian Federation assortment of grapes. Analysis
assortment shows that the share of productive, highquality
varieties with group resistance to diseases,
pests and extreme environmental factors is very
small. The main method of selection of grapes of a
new generation who have genetically determined traits
earliness, resistance to biotic and abiotic factors is
crossing complex interspecific hybrids and forms of
their involvement with each other and with the forms
of species Vitis vinifera, belonging to different ecogeographical
groups, saturating crossing between
hybrid forms with complex features, the appropriate
selection of reference. For vigorous offspring is most
effective as a parent to use a local variety of forms of
Crohn and father - interspecific cultivar Alminsky
A diet of a modern man affects the formation of a healthy lifestyle very highly. It supplies the body with the main and irreplaceable nutrients, mineral components and energy. The Russian Federation population surveys, which were carried out by government agencies of the country show us that there is a lack of many nutrients with high nutritional value. Russian market is gradually stuffed with food products which have high nutritional value. For the maintenance of health, active longevity, and for improving their performance, people must consume their organism with all the necessary nutrients. That's why achieving an optimal balance among the nutrients is one of the important question of vital activity. In this article, there were considered optimization approaches to human diet with considering different types of metabolism and maintain weight with using economic and mathematical methods. Also in this article you can find the calculated values of the daily values depending on your calorie eating plan, anthropometric parameters and energy expenditure. We obtained daily value of calories and distributed basic food components- carbohydrates, proteins and fats, and also we calculate the optimal diet for the results of each type of physique - ectomorph, endomorph and mesomorph
Studies of ecosystems allow estimation of difficult processes (physical, chemical and biological), taking place in them and determine how to manage them. At the heart of the natural systems there are freely interacting populations of different taxons, productivity of their above-ground structures, details of which are quite limited, and as underground systems, the data have even less information. In the late 60s and early 70s in the XX century a lot of information appeared associated with problems of environment, its pollution, lack of energy of food resources, clean water; it determined the root cause of the reaction of the population of developed countries on the aggravation of relations between society of people and habitat. Existed for a long time the concept of the exploitation of nature, which reflected on using soils, forests, water and other sources and which showed the power of mankind and its technical power over nature. In reality, this concept was just a common strategy of aphids sucking their environment. Understanding the real situation on the different levels of consciousness of the population defined situation of practical and scientific research in the field of ecology of different directions - chemical, biological, mathematical and other sciences. Development of ecology today will evolve to meet conservation and sustainable development of the biosphere, which experiencing constant anthropogenic pressure. An important problem of agrolandscape systems is an objective assessment of their productivity. Among the issues that determine the development of agricultural systems there are the natural conditions and soil fertility, crop dynamics over the years, the duration of the growing season of individual taxons, as well as the possibility of create of mixed crops, different type of life form, ecological features, physiological diversity of biochemical characteristics. Sowings this type allow, under certain conditions, obtaining stable yields under any climate dynamics and significant reduction of soil erosion. Combined sowing that is practiced in South East Asia, particularly in China, where the main components are the soybean and corn. The usefulness of mixed crops is the stability of yields over the years and the ability to emphasize their resistance to dry weather conditions
Nitrogen supply of soils is an important factor in the successful cultivation of agricultural crops. Nowadays, in the Central Black Earth region there are planted orchards with high density of trees, with installed systems of drip irrigation and fertigation. Such orchards are relatively new, particularly in this region. Fertigation ambiguous effects on soil structure and its content of nutrients, especially hydrolysable nitrogen. Therefore, the study of the distribution of hydrolysable nitrogen in the soil under the influence of fertigation and drip irrigation is important. The aim of our research was to investigate the distribution hydrolysable nitrogen in the root soil layers 0-20, 21-40, 41-60, 61-80 cm. Investigations were carried out according to conventional methods. In these layers of the soil, we have determined the content of hydrolysable nitrogen and yield. As a result, we have found that in variants with fertigation were the highest yield. In addition, with fertigation it was noted higher content of hydrolysable nitrogen in the soil as compared with the control without irrigation, especially in the deep layers 21-40; 41-60 and 61-80 cm. It was also noted increase of hydrolysable nitrogen in the soil along the periphery of the wetting
In our study we try to convey to students the
importance of Cytology, as a discipline, with examples
of paintings by various famous artists. Visualization of
images is an integral part of the science of the cell. Our
work focuses on such critical cytological processes
such as the preparation of dyes for staining of
chromosomes, polyploidy, mitosis and apoptosis. We
used a series of works of the artist, D. Eltsevoy, in this
regard, an important approach is to convey to students
the idea about the optimality of the size of the
organism at polyploidy. As the demonstration material
on mitosis performs a series of pictures Julia Nudel.
The paintings of this artist show the processes of cell
division (mitosis) and death (apoptosis). The paintings
of this artist show the processes of cell division
(mitosis) and death (apoptosis). We have discussed the
idea of creating illustrations in units of individual
blocks of the course. The use of paintings as
illustrations in the course Cytology" promotes the
development of imagination, causes cognitive interest
of students in the discipline. Using an image as a prop
for visual perception of the subject area, paintings
immerse the student into an "object" of study. The
objective of our work was to conduct a search of the
visual images on the example of artists ' canvas, to
create an image database with explanations and
interpretations. Thus, the use of paintings in the course
"Cytology" as a figurative number, affects several
processes: abstraction, classification, identification and
creation of new, in-depth understanding of the
processes occurring in the cell. This approach to the
flow of the material through the paintings of painting
will help you to understand the importance of
particular issues that have given rise to entirely new
way of thinking
The article provides a description of existing catalytic burning units, the rationale for improving the technical solutions of components and parts, and the catalytic burning unit proposed by the authors with a circulating bed of filler
The quality of a system is seen as an emergent property of systems, due to their composition and structure, and it reflects their functionality, reliability and cost. Therefore, when we speak about quality management, the purpose of management is the formation of pre-defined system properties of the object of management. The stronger the object of the control expresses its system properties, the stronger the nonlinearity manifests of the object: both the dependence of the management factors from each other, and the dependence of the results of the action of some factors from the actions of others. Therefore, the problem of quality management is that in the management process the management object itself changes qualitatively, i.e. it changes its level of consistency, the degree of determinism and the transfer function itself. This problem can be viewed as several tasks: First is the system identification of the condition of the object of management, 2nd – making decisions about controlling influence that changes the composition of the control object in a way its quality maximally increases at minimum costs. To solve the 2nd problem we have proposed an application of the component selection of the object by functions based on the resources allocated for the implementation of different functions; costs associated with the choice of the components and the degree of compliance of various components to their functional purpose. In fact, we have proposed a formulation and a solution of the new generalization of a variant of the assignment problem: "multi backpack", which differs from the known with the fact that the selection has been based not only on the resources and costs, but also with taking into account the degree of compliance of the components to their functional purpose. A mathematical model, which provides a solution to the 1st problem, and reflecting the degree of compliance of the components to their functionality, as well as the entire decision-making process for selections, i.e. 2nd task, has been implemented in the ASC-analysis and in the system called "Eidos" X++". The article also provides a simplified numerical example of the proposed approach with the selection of staff members