Summary: In this paper phase states and phase transitions of nanoscale cellulose crystallites have been studied. It was found that conditions of the phase transitions of rod-like nanocrystallites are depended on their lateral size (Lcr). Small nanocrystallites have instable phase state; as a result they have tendency to co-crystallization with forming of larger crystallites having a low specific surface. After treatment in boiling water small nanocrystallites of CIII easily recrystallize into crystallites of CI, whereas for CIII having large crystallites this phase transition cannot be implemented. It is also found that after heating in glycerol at 533 K three crystalline allomorphs, CI, CII and CIII, can be transformed into CIV, when the lateral size of nanocrystallites Lcr ≤ 4.3 nm; whereas the larger crystallites of these allomorphs cannot be converted directly into CIV. Furthermore, small nanocrystallites of CI are more soluble, and their transformation into CII occurs at lower concentrations of mercerizing agents.

Key words: cellulose, nanocrystallites, allomorphs, phase transitions, thermodynamics.

Abstract: Proposed and reasonably mathematical model of creation new centers of formation of granules in the production of organic-mineral composites. The dependence of spent on shredding-ment of energy depending on the size.

Key words: humates, mineral and organic fertilizer, shredding.

Anotation: This paper describes N.N.Boholyubov fundamental contribution to the development of statistical mechanics on the example of the principle of correlation weakening.

Keywords: Bogolyubov, correlation, principle of weakening correlation, quasiaverage.

Abstract: the method and carried out the synthesis of the ID of the coordinate system field-oriented  control of asynchronous  electric drive with the  structure calculations, a uniform  for the orientation system according to one of the vectors of the flux  of the stator, the magnetic  gap or the rotor;  study on the identification accuracy  when the variations of the parameters of the induction motor from the nominal tuning values for the ID.

Keywords:  synthesis, mathematical model, algorithm, information-sensor system, field oriented control, the orientation of the coordinate basis, the ID, modeling, identification errors.

Summary: The solution to modern economic problems and management tasks are closely connected with the idea of what a "goal". Whether achieving the goal of the prerogative of the individual or the achievement of the goal is available to structural divisions of the enterprise and technological machines. The work focuses on how to answer this question of modern scientific knowledge.

Key words: goal, control, optimization criterion, criterion of efficiency.

Summary: In the article represented mandatory elements criminalistics description of murders on an order and the analysis of them is carried out separate constituents.

Keywords: criminalistics description, criminalistics description of murders on an order, constituents of criminalistics description of murders on an order.

Summary: The article is devoted to the relevance of using art as a tool of counseling. Psychological approaches to understanding art, product of creativity and the creative process are identified. The features of using client-centered therapy based on expressive arts are described. Example of the work with art in dealing with group dynamics is presented in the article.

Keywords: counseling tools, products of creativity.

Summary. The article is devoted to the results of investigation of the trust level in Transcarpathian region enterprises, which indicates the formation of institutional norms of trust as a competitiveness factor. Firstly the confidence matrix in Transcarpathian enterprise is offered and the zone of the trust is exposed.

Keywords: trust, confidence matrix, institute, culture, competitiveness, efficiency.

Summary: The article deals with the theoretical and methodological basis of designing development strategy for higher education. Methodical provisions for the program strategic of higher education as a specific tool of strategic management. An appropriate recommendations.

Keywords: strategy, institution of higher education, strategic development.

Summaru: In the article the theoretical issues intersubject integration, the implementation of intersubject communication in the educational process of profile school level at the present stage of its development.

Keywords: intersubject integration, intersubject communication, profile school.

Summary: The article is devoted to revelation of specifics of elderly people interpersonal communication depending on their living conditions. The elderly people interpersonal communication is deemed to be a process of formation of emotional relationships of personality. It had been founded that older people who live with a family have more opportunities for positive development of their interpersonal communication.

Key words: interpersonal communication, living conditions, empathy, loneliness, communication styles.

Summary: The species composition of pathogens diseases subtropical crops was  researched  under conditions of the Lankaran zone  Azerbajcan.The materials characterizing symptoms of defeat of a subtropical plants by the most widespread and harmfull diseases of a fungous  etiology are given.

Keywords: subtropical plant, fitopathogens, introduction.

Abstract: Using several techniques the article discusses issues of mental and emotional state of patients in emergency department. The study in GU «Central Hospital» of Rybnitsa found, that patients being treated in the department of anesthesiology, emergency and intensive care often have a variety of negative emotional states, the degree of which varies depending on the frequency of being in departament.

Keywords: intensive care unit, patients, emergency department, psycho-emotional state.

Summary: Development of the modern society is bound to the solution of questions of development of problems of management. In work the main problem aspects and tendencies bound to development of management are defined.

Key words: control, problems of management criterion of control, criterion of optimization.

Summary: Article analyzes the method of case-study as an effective teaching method within the courses of public policy. Special attention is given to the comparison of the method of case-study with special characteristics of the process of policy project design and implementation.

Key words: case-study, public policy, active teaching.

Summary: In this paper, method is offered enabling reduction of resolving system of heterogeneous partial-derivative differential equations of the sixteenth order within the variant of mathematical theory of non-thin shallow shells to the differential equations of the second and fourth orders. A method is used of geometrical parameters perturbation and symbolical method.

Keywords: variant of mathematical theory, non-thin shallow shell, system of heterogeneous partial-derivative differential equations, method of perturbations, operator.

Summary: In the article the ways of economic analysis in the modern world. The main directions of economic efficiency analysis in the modern world.

Key words: economic analysis, economics, innovation and economic development.

Abstract. Analysis of professional-and-practical training of a future teacher of Principles of Food Production Technologies in the system of his professional training at Higher Educational Institution was done in the article. Professional training of a future teacher of Principles of Food Production Technologies at Higher Educational Institution is performed according to educational-and-qualification characteristic and educational-and-professional program of Bachelor training majoring in 015 "Professional Education. Food Technologies". Abilities and skills that should be developed in the students during professional-and-practical training according to educational-and-qualification characteristics and educational-and-professional program were defined. Concept of "professional-and-practical training" was described. Professional-and-practical training of a future teacher of Principles of Food Production Technologies at Higher Educational Institution is carried out at educational workshops, laboratories, workplace, at work, during lectures, seminars, consultations, laboratory-and-practical classes, educational-and-production training, course papers, diploma projects; independent students’ work. Forms analysis of professional-and-practical training was performed.

Keywords: professional-and-practical training, production education, lecture, seminar, laboratory-and-practical class, consultation, work experience internship, a teacher of Principles of Food Production Technologies.

Abstract: The theoretical and practical aspects of the creative abilities of the teacher in educational work with preschool children.

Keywords: teacher, art, creativity, art educator.