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Erosion and abrasion are the prominent wear mechanisms reducing the lifetime of machine components. Both wear mechanisms are playing a role meanwhile, generating a synergy, leading to a material removal on the target. The purpose of study is to create a mathematical expression for erosive abrasive wear.

Many factors such as environmental cases and material character have an influence in erosive abrasive wear. In the work, changes in abrasive size and material hardness have been analyzed. As an abrasive particle, quartz sand has been used. All tests have been done in 20 wt.% slurry. Heat treatment has been applied to different steel specimens (steel grades C15, St 37 and Ck45) to change hardness value, which ranged from 185 to 880 Vickers hardness number.

After the four-hour test, it is determined that by an increase in abrasive size and decrease in material hardness, wear rate increases. Worn surfaces of the targets have been examined to figure out the wear mechanisms at different conditions under scanning electron microscopy. The results indicate that by an increase in material hardness, the number and diameter of micro-craters on the worn surfaces decrease. The diameters of micro-craters have been about 3–8 µm in hard materials and about 120–140 µm in soft materials.

It is determined that by an increase in abrasive size and decrease in material hardness, wear rate increases. The results indicate that by an increase in material hardness, the number and diameter of micro-craters on the worn surfaces decrease.

The study enables to indicate the dominant factor in worn steel used in mechanical components.

After analyzing the test results, a novel mathematical expression, considering both abrasive size and material hardness, has been developed.

Breakfast skipping by children, with its varying global prevalence and associated factors, is well documented to adversely affect their health, cognitive ability, academic performance and anthropometric status. Libya, a country with a young population base, has limited information on breakfast skipping prevalence among its young citizens as well as its compounding factors unique to the country. The purpose of this paper is to investigate the breakfast skipping pattern among Benghazi primary school children.

The paper's approach is to use a cross sectional study among 386 primary school children (196 males and 190 females) using an interviewer‐administered structured questionnaire. The enrolment exclusion criteria were a pre‐existing chronic disease or a food allergy or food intolerance or any acute illness.

Breakfast skipping during weekdays (38.6 per cent, n=149), reduced drastically on weekends (1.0 per cent, n=4); 10.7 per cent subjects skipped breakfast daily (mean 2.5 + 1.3 days). Absence of hunger and lack of time to eat or prepare breakfast were cited as main barriers in its regular consumption. Bread and milk were the most commonly consumed breakfast foods. Certain groups of regular breakfast eating subjects consumed higher (p < 0.05) dietary thiamine and iron than their breakfast skipping counterparts and also better fulfilled their daily requirements for these nutrients. Parental breakfast eating habits influenced their children's breakfast eating pattern.

Efforts, including better time management, are required to inculcate a positive breakfast eating attitude among Benghazi primary school children. Their parents need to act as better role models by adopting healthy breakfast eating practices themselves.

The paper shows that breakfast skipping among Benghazi primary school children is a nutritional problem of grave concern, warranting a public health intervention.

Purpose – This chapter explores the m+eaning and significance of family business social responsibilities (FBSRs) using a metasystem approach, placing emphasis on the role of the family.

Design/Methodology/Approach – We employ a revelatory case study to investigate the complexity of family business (corporate) social responsibility. The main case, a German shoe retailer, is supplemented by other case illustrations that provide additional insights into FBSR.

Findings – To fully understand social responsibility in a family firm context, we need to include social initiatives that go beyond the actual family business as a unit. This FBSR connects family members outside and inside the business and across generations. As FBSR is formed through individual and family-level values, its character is idiosyncratic and contrasts the often standardized approaches in widely held firms.

Practical Implication – Family businesses need to go beyond the business as such when considering their engagement in social responsibility. Family ownership implies that all social initiatives conducted by family members, regardless if they are involved in the firm or not, are connected. This includes a shared responsibility for what family members do at present and have done in the past.

An iconic American brand must determine how to maximize net profit by increasing the sales of its highest-margin items in the face of constant retailer pushback including reduced shelf space and promotional support of those same products. This case is suitable for required MBA marketing courses as well as pricing and brand management electives at both the undergraduate and MBA levels. The analytics of the case assume that students can calculate both dollar and percentage margins.

This study aims to investigate the feasibility of employing a multi-objectives integer-programming model for effective allocation of resources for cyberfraud mitigation. The formulated objectives are the minimisation of the total allocation cost of the anti-fraud capacities and the maximisation of the forensic accounting capacities in all cyberfraud incident prone spots.

From the literature survey conducted and primary qualitative data gathered from the 17 licenced banks in South Africa on fraud investigators, the suggested fraud investigators are the organisation’s finance department, the internal audit committee, the external risk manager, accountants and forensic accountants. These five human resource capacities were considered for the formulation of the multi-objectives integer programming (MOIP) model. The MOIP model is employed for the optimisation of the employed capacities for cyberfraud mitigation to ensure the effective allocation and utilisation of human resources. Thus, the MOIP model is validated by a genetic algorithm (GA) solver to obtain the Pareto-optimum solution without the violation of the identified constraints.

The formulated objective functions are optimised simultaneously. The Pareto front for the two objectives of the MOIP model comprises the set of optimal solutions, which are not dominated by any other feasible solution. These are the feasible choices, which indicate the suitability of the MOIP to achieve the set objectives.

The results obtained indicate the feasibility of simultaneously achieving the minimisation of the total allocation cost of the anti-fraud capacities, or the maximisation of the forensic accounting capacities in all cyberfraud incident prone spots – or the trade-off between them, if they cannot be reached simultaneously. This study recommends the use of an iterative MOIP framework for decision-makers which may aid decision-making with respect to the allocation and utilisation of human resources.

The originality of this work lies in the development of multi-objectives integer-programming model for effective allocation of resources for cyberfraud mitigation.

To discuss the concept of phantom reality.

When one begins to look at the phenomenon of phantoms, one comes across different sections, which are referred to in expressions such as phantom limb pain, phantom circuits or phantom pregnancy. When are these phantoms? What are they all about? In which contexts are these expressions used? Do they have similarities or aspects in common? How can we deal with them and which reality do they belong to?

Even if we consider these questions as undecidable ones in the sense of Heinz von Foerster, more differentiated answers can be given on the basis of Nelson Goodman's and Catherine Z. Elgin's concept of variations.

The paper offers ideas for dialogue and orientation in the area of conflict of phantom and reality.

The main purpose of this paper is to consider knowledge production as a social self‐organization process, to clarify ethical implications of such an approach, and to relate it to the thinking of Heinz von Foerster.

The method employed is the one of dialectical constructions, i.e. existing contradicting approaches on knowledge research are identified and classified and a constructive synthesis of these approaches is made.

Since Heinz von Foerster's pioneering work, information‐generating systems are considered to be self‐organizing systems. We see knowledge as only a particular kind of information: it is the manifestation of information in the social realm. Thus, the creation of social information is due to the self‐organization of social systems. Heinz von Foerster has given us some indications of how knowledge and self‐organization could be applied to society. In this paper, we try to sketch a position of our own while taking into consideration Heinz von Foerster's relevant ideas.

The research results in this paper imply that a knowledge‐based society can only survive if it is designed in a participatory and socially and ecologically sustainable way. Hence a practical implication is that participation and co‐operation need to be advanced in order to guarantee human development.

The innovative aspect of the paper is that it suggests that all social self‐organizing systems are knowledge‐producing systems and that considering knowledge as a co‐operative process implies responsibility for solving the global social problems. It combines knowledge research and systems thinking based on ideas on self‐organization by Heinz von Foerster in order to describe social systems.

Plato's cave, as described in The Republic, is considered as a source of inspiration for a mathematical presentation of the process of perception and decision. The epistemological operator allows for a description of some aspects of a system's epistemological subjectivity. The involvement of inverse transfers of the system's structures is discussed. Consideration of the epistemo‐praxiological cave and the physicist's cave gives further interpretations to Plato's allegory.

To explore possible innovations that constructivism and its epistemological participatory position offer to philosophy, in particular to the age‐old problem of grounding epistemological assumptions.

The paper follows von Foerster's account of the participatory position as an epistemological stance. It tries to explain why it is called a “position” rather than “insight” or “theory”. Constructivist (participatory) concepts are explored and related to “classical” philosophical debates such as the “Münchhausen trilemma”. In the conclusion the paper sketches possible ways of how to apply the answers of the participatory position to the philosophical discourse.

The paper points at the possibility to go beyond the insurmountable boundaries dividing different epistemological positions one continuously encounters when searching for the appropriate epistemological starting point. As a result, one cannot expect answers to be universally valid. The paper takes that into consideration. It argues that most philosophical attempts are first order changes (revolutions) as they seek truth and exclude alternative views at the same time. Following von Foerster, the paper suggests second order changes that lead from truth to trust. This transition allows a peaceful coexistence of all philosophical systems. Turning from truth (and belief in analytical clarity) to trust and, consequently, from objectivity to responsibility, it may become possible to transcend the epistemological barriers.

The paper contributes to finding a possible direction for the future of discourses in philosophy and many humanities in order to overcome the incompetence of philosophy of finding final answers.