Mathematics – Scholar Publishing

Global Set Theory

Our reasoning is based on 2-valued logic. That is, we are convinced that a statement is either true or false. 2-valued logic is said to be the logic of the Absolute. The true (1) and the false (0) are expressions of the degree of truth, and called truth values. Truth values 1 and 0 form a complete Boolean lattice 2 with operations ∨, ∧, ¬ : 2 = ⟨ {1, 0} : ∧(and), ∨ : (or), ¬(not) ⟩ The logic represented by Boolean lattice is called a classical logic. Thus, we accept the law of excluded middle and distributive law as logical axioms. Classical set theory is developed by the classical logic with axioms which characterize ‘sets’. The whole sets forms the universe of set theory. A model V of the universe of classical set theory is constructed inductively from empty set ∅ by adding power sets of existing sets repeatedly : Vα = {u | ∃β ∈α(u:Vβ →2)}, V = ∪ α∈On Vα , where subset of Vβ is represented by 2-valued characteristic function, i.e. u ⊂ Vβ def ⇐⇒ u:Vβ →2. Mathematics, which is a language of science, is developed in the classical set theory.

Portfolio of scientific articles from 2010 to 2020

This work aims to study the influence of the socio-educational environment on student performance. It seeks to identify the scope of the relationship between variables or dimensions of school climate and academic performance. From 227 students and 36 public and private high school educators and colleges from the city of Agboville, we assessed their perception with the multidimensional assessment scale of student well-being in schools by Guimard et al., (2014). Multivariate regression analysis and cross-tabulations of variables have elucidated the interactions between a person’s behaviors, individual characteristics, and the environment in which they evolve. The data collected showed that school performance depends on the feeling of security, the learning conditions, the state of the teacher- student relationship, the overall satisfaction of students and their well-being in the school environment. This study proves that the best academic results of learners are intimately linked to the establishment of a quality socio- educational environment.

Leadership in the Formation of an Organization

The importance of leadership in the foundation and legitimization of an organization is a pressing issue in organizational studies. This book, Leadership in the formation of an organization, which focuses on an organizational case study – the formation of Asilo de Infância Desvalida da Horta (a foster organization for girls and young women), in the Azores, Portugal, seeks to contribute to the analysis the relative autonomy that leadership faces and which it has to deal with in the search for its legitimacy as an organization. The book concludes with the reproduction of a booklet, dated 1884, titled Memória histórica sobre o Asilo de Infância Desvalida da Cidade da Horta [Historical memory on Asilo de Infância Desvalida da Cidade da Horta], which offers relevant arguments of this study. Furthermore, in addition to the analysis put forth here, its facsimile availability in digital version is deemed pertinent.

Model of Strategic Management of Human Resources: Scenario Building From Human Resource Management Perspective

Model of strategic management of human resources; building a scenario from Human Resources management perspective was the outcome of this study. Organizations are increasingly looking at HRM as a unique asset that can provide them with sustained competitive advantage .The organization’s philosophy on how to manage its workforce, its policies, therefore needs to be well defined to enhance its ability to attract and retain the right calibre of employees to provide it with the required competitive advantage. Any business entity poised to make impact and to be relevant in the present-day dynamic business environment must plan strategically .Management must paint scenarios, anticipate the environment and be proactive or forward-looking, set realistic objectives and develop strategies and plans of action to achieve those objectives. The issue is not anticipating the future, but making fundamental decisions based on foresight. Organizations have been increasingly aware of the importance of understanding what is going on in their environment and among their audiences. Various methods are employed through Trade Unions, relations with employees, media monitoring, or conducting surveys. Moreover, a number of human resource scholars and professionals have maintained that practical steps and process should be put in place to discover problems in their initial stages before they affect the organizations.

Selected Topics on Foreign Direct Investments (Fdis): a Focus on Tanzania

In this chapter, the author makes a discussion on the mutual impacts of foreign direct investments (FDIs) from the developed to the developing countries with a specific reference to Tanzania, his home country. He identifies several theoretical mutual FDI impacts between the FDI source countries (predominantly, developed ones) and FDI destinations, especially the developing ones. He then presents several pieces of evidence on the mutual FDI impacts in Tanzania. The impacts include increased government revenues (through tax, royalties, privatization proceedings, licences and fees); increased direct and indirect employment; increased community support projects; increased up-to date and state-of the art technology; improved investment climate; technology transfer; and more market access. Tanzania’s impacts on the FDIs locating in the country include accessibility to markets and resources; investment incentives; profits; royalties; dividends; and employment.

Harmonic Economi, Introduction (Monograph- II)

The article sets a task lying in the construction of harmonious economics metrics. The economics overcoming failures of one”sidedness in the assessment society development with an enforceability of many”sided consideration for social, humanitarian and intellectual factors being introduced. Meanwhile, the financial indicators, profit and capital criteria leave the foreground. The specificities of author’s approach lie in the use of natural analogs for calculation and assessment of economics including formation of the Values Added. The systems for determination of the Gross Domestic Product and national calculations are being transformed. These innovations are introduced instead of the existing systems. The algebra and system for calculation of economic and other indicators are renewed in order to implement basically new harmonious economics metrics. There is a separate level differentiating between the general political level of management and traditional macroeconomics referred to as supramacroeconomics. To make calculations the assessments of geometric values of natural analogs of the economics and social medium objects are being used. The methodical bases for harmonious economics metrics are developed in this article.