Absolute value of a complex number, and conjugate complex number. Integral powers and roots of complex numbers. Taylor’s and Laurent’s theorems. Evaluation of integral of meromorphic function. Fundamental elementary functions of complex variables.

Teaching students of construction specialties to write English-language cover letters. Learning and practicing new vocabulary necessary for writing business letters. Application of a set of text-genre exercises "Presentation", "Vocabulary" and "Writing".

In the scientific article, the author examines field military engineering structures built during the Russian-Turkish war of 1735-1739 on the territory of Lower Samaria. The emergence a complex of defensive structures on the territory of Nizhny Prysamary.

Study of spores and pollen as a floral group used for dissection and correlation of sedimentary sections. The main tool for dismemberment and correlation of sediments based on palinological data. Palinozone Vestispora costata-Knoxisporites polygonalis.

Mapping the lexical structure of simple and complex linguistic units, which is a grammatical connection of words having a semantic completeness. The linguistic essence of the composite syntactic units. The classification of the subordinate clauses.

The level of traffic congestion and their negative consequences in the city of Kiev. Study of the amount of emissions from traffic jams and the number of cars that get into them. Influence of road congestion on the ecological and economic sphere.

Analysis of the hybrid power plant, which consists of renewable energy sources: solar, wind power. Features of installed equipment and factors affecting its productivity. Analysis of information obtained from the hybrid power plant under investigation.

The work of complex heat-recovery systems using water-hiting and air-heating heat-recovery exchangers was investigated. The combined use recovered heat to heat the return heat-network water, water of chemical water-purification system or combustion air.

Radix-22 Algorithms has been chosen to implement and the different blocks in the architecture. After implementing the blocks, the complex multiplier implementation has been done in four different approaches starting from the basic complex multiplication.

Features complexation of adsorption of calixarene hydroxymethylphosphonic acid on the hypersil CN surface. Implementation the molecular modelling of calixarene hydroxymethylphosphonic acid and its complexes with tryptophan and N-acetyltryptophan amide.

Review of current situation of Switzerland's banking secrecy. The study of the legitimacy of international law (the concept of Frank) in the light of empirical facts. Cost-Benefit Analysis: Economic sanctions, loss of reputation; internal costs.

Assessment of the state of the economy and financial results of economic entities in Ukraine. Conceptualization of the theoretical foundations of compliance strategy in a crisis. Development of a model of economic security of the hospitality entity.

Operationalization of the content of the economic security of hospitality entities and the formation of a compliance-strategizing model as a multi-level mechanism in the conditions of digitalization. Study of the essence of economic security of business.

Complicity - the institution of criminal law, known to the legislation of all countries of the world. The causal relationship of an act with a criminal outcome - a criterion of the criminal legal significance of the actions of individual accomplices.

Investigation of complicity as important institutions of criminal law, known under the laws of all countries of the world. The intentional joint participation of two or more persons in the commission of an intentional crime as complicity in a crime.

Speech act as the minimal functional unit in human communication, and analysis functions. Consideration of the basic problems of speech acts and compliments. The essence of the notion "speech act". Familiarity with the history of the study of compliment.

The questions about using the local developmental analysis of any geographic object on an example of social and economic development of urban sociogeosystem of Kharkiv region and health care system development of district sociogeosystem of Volyn region.

Description on the cyclical nature of being accompany philosophical thought from the moment of its formation. A complex long-term process aimed at the formation of the state, which includes cultural, political, mythological, religious and other factors.

Acquaintance with the studies of R. Gilpin, P. Kennedy, J. Modelski and K. Thompson, who made attempts to determine the cyclicality and regularities of the evolution of the system of international relations. Definition of the concept of cyclicity.

The components of the professional competence of special education teacher. Indicators of formation of professional competence of special education teachers in the conditions of postgraduate education. Formation of the motivational and value component.

Study of derivational potential of words of different structural linguistic units of the Ukrainian language. Establishing the relationship of inchoatives, esives and causatives with verbs. Word-forming means of reflecting the semantics of the subject.

The essence of the concept of "didactic concept". Pedagogical theories based on the concept of the developed methodology. Formation of teaching methods in institutions of higher education. The peculiarity of the principles of industrial training.

Taking into account "the whole range of individual manifestations of personality" in the study of the phenomenon of creativity. Consideration of biography as a psychological phenomenon. Demonstration of cognitive capabilities of the biographical method.

Research features of the concept of scientific discourse. Analysis of the main components of scientific discourse, characteristics of system features. Characteristics of a kind of hint for understanding the entire system of institutional relations.

Rethinking approaches to the characteristics of the sovereignty of the state. Determining of the key areas of implementation and development of international relations separate states and the international community. Structure of economic sovereignty.

Economic sovereignty and its elements. The state sovereignty and its realization depends on the right of state to independently decide on tax-legal regulation and the nature of those measures selected by the state to carry out regulatory influences.

Economic sovereignty and its elements are analyzed in the article. It is emphasized that a significant step for rethinking approaches to the characteristics of the sovereignty of state, in particular, the economic became European integration processes.

Use of the contract for the corresponding normative construction to the individually-defined model of behavior of participants of legal relations. Characteristics of the mechanism of legal regulation of public relations by means of "normative construct".

Research of methods and forms of regulation of public relations in modern conditions of globalization. The goals of creating a normative legal construct. Changing the paradigm of perception of the constitutional norm as a basic element in the state.

The study of readiness for pedagogical activity in the institution of preschool education in general and the social and moral education of children of preschool age in particular. Formation in children of preschool age friendly attitude to peers.