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Purpose – This chapter explores how a group of African academics at a university in South Africa experience belonging at varying levels of geographical scale. It considers how race, class and professional status intersect to influence the scholars’ experiences.

Design/Methodology/Approach – Narrative interviews were conducted with 24 individuals from nine African countries. All were current doctoral or postdoctoral fellows at the University of the Free State. The focus is decidedly qualitative in approach, with an emphasis on understanding the subjectivity of the people under study.

Findings – The interviews reveal that, while participants have struggled to forge a sense of belonging to South African society due to high levels of xenophobia and structural racism, they have found other spaces to validate their professional identities and, hence, forge a sense of belonging. These spaces include certain university departments and meeting places at the university. Importantly, these spaces have a very specific, local location, but are international in their linkages and their orientation. The professional identity of the scholars helps them overcome challenges to traditional modes of belonging based on race and class in the South African context.

Originality/Value – The findings contribute to broader discussions on the scale of migrant belongings and on the increasingly complex ways migrants relate to space and place. It also offers a new perspective on the belonging(s) of international scholars, which is largely understudied in the South African context.

Purpose – In this chapter we discuss to what extent some of the measures of inequality of opportunity (IOp hereafter) proposed in the literature meet the reward and the compensation principles.

Methodology – We study the direct unfairness and fairness gap measures proposed by Fleurbaey and Schokkaert (2009) and the ex ante and the ex post measures proposed by Checchi and Peragine (2010). As all the measures violate at least one of the principles, we propose a framework in order to quantify, for each solution, the violations of the property that it does not fully satisfy and we formulate the problem of choosing the measure that minimizes the violations of the principle not fully satisfied.

Findings – This procedure is shown to be able to rationalize some of the existing measures of opportunity inequality and to obtain new measures of IOp.

The purpose of this paper is to present a new approach to optimizing the design of 3D magnetic circuits. This approach is based on topology optimization, where derivative calculations are performed using the continuous adjoint method. Thus, the continuous adjoint method for magnetostatics has to be developed in 3D and has to be combined with penalization, filtering and homotopy approaches to provide an efficient optimization code.

To provide this new topology optimization code, this study starts from 2D magnetostatic results to perform the sensitivity analysis, and this approach is extended to 3D. From this sensitivity analysis, the continuous adjoint method is derived to compute the gradient of an objective function of a 3D topological optimization design problem. From this result, this design problem is discretized and can then be solved by finite element software. Thus, by adding the solid isotropic material with penalization (SIMP) penalization approach and developing a homotopy-based optimization algorithm, an interesting means for designing 3D magnetic circuits is provided.

In this paper, the 3D continuous adjoint method for magnetostatic problems involving an objective least-squares function is presented. Based on 2D results, new theoretical results for developing sensitivity analysis in 3D taking into account different parameters including the ferromagnetic material, the current density and the magnetization are provided. Then, by discretizing, filtering and penalizing using SIMP approaches, a topology optimization code has been derived to address only the ferromagnetic material parameters. Based on this efficient gradient computation method, a homotopy-based optimization algorithm for solving large-scale 3D design problems is developed.

In this paper, an approach based on topology optimization to solve 3D magnetostatic design problems when an objective least-squares function is involved is proposed. This approach is based on the continuous adjoint method derived for 3D magnetostatic design problems. The effectiveness of this topology optimization code is demonstrated by solving the design of a 3D magnetic circuit with up to 100,000 design variables.

This work compares the performance of the three boundary element techniques for solving Helmholtz problems: dual reciprocity, multiple reciprocity and direct interpolation. All techniques transform domain integrals into boundary integrals, despite using different principles to reach this purpose.

Comparisons here performed include the solution of eigenvalue and response by frequency scanning, analyzing many features that are not comprehensively discussed in the literature, as follows: the type of boundary conditions, suitable number of degrees of freedom, modal content, number of primitives in the multiple reciprocity method (MRM) and the requirement of internal interpolation points in techniques that use radial basis functions as dual reciprocity and direct interpolation.

Among the other aspects, this work can conclude that the solution of the eigenvalue and response problems confirmed the reasonable accuracy of the dual reciprocity boundary element method (DRBEM) only for the calculation of the first natural frequencies. Concerning the direct interpolation boundary element method (DIBEM), its interpolation characteristic allows more accessibility for solving more elaborate problems. Despite requiring a greater number of interpolating internal points, the DIBEM has presented higher-quality results for the eigenvalue and response problems. The MRM results were satisfactory in terms of accuracy just for the low range of frequencies; however, the neglected higher-order primitives impact the accuracy of the dynamic response as a whole.

There are safe alternatives for solving engineering stationary dynamic problems using the boundary element method (BEM), but there are no suitable comparisons between these different techniques. This paper presents the particularities and detailed comparisons approaching the accuracy of the three important BEM techniques, aiming at response and frequency evaluation, which are not found in the specialized literature.

The chapter suggests two methodologies to measure inequality of opportunity in health in Israel, an ex-ante and an ex-post approach. In both cases, following the strategy recently suggested by Trannoy, Tubeuf, Jusot, and Devaux (2010), the chapter starts by introducing the production function of health, taking into account circumstances (the father’s years of education, his country of birth, the religion of the individual, his or her country of birth, age and gender) as well as effort variables (the level of education of the individual, his or her occupation and a variable describing his or her smoking habits).

The chapter also suggests then a decomposition of the overall health inequality into a legitimate and an illegitimate component, using the mean logarithmic deviation as inequality index, such a breakdown being applied to both the ex-ante and the ex-post approaches to equality of opportunity.

Gives introductory remarks about chapter 1 of this group of 31 papers, from ISEF 1999 Proceedings, in the methodologies for field analysis, in the electromagnetic community. Observes that computer package implementation theory contributes to clarification. Discusses the areas covered by some of the papers ‐ such as artificial intelligence using fuzzy logic. Includes applications such as permanent magnets and looks at eddy current problems. States the finite element method is currently the most popular method used for field computation. Closes by pointing out the amalgam of topics.

Spurious modes often appear in the computed spectrum when an electromagnetic eigenproblem is solved by the finite element method. Demonstrates that the inclusion condition, often claimed as the theoretical reason for the absence of (non‐zero frequency) spurious modes, is a sufficient but not necessary condition for that. Does this by proving that edge elements, which are spectrally correct, do not satisfy the inclusion condition. As intermediate steps towards this result, proves the equivalence of the inclusion condition to a less cryptic one and gives two more easily‐checked necessary conditions for the latter. Concludes that from this investigation, the inclusion condition seems too strong to be useful as a sufficient condition. Works out the present analysis in the framework of spectral approximation theory for non‐compact operators, which emerges as a basic tool for a deeper understanding of the whole question of spurious modes.

Industrial heritage works within a world of contradictions, contentions and scalar liminality. Archaeologists and historians focus upon oral histories and discourses of tangible and intangible memory and heritage while planners and economists see industrial World Heritage, in particular, as a marketing ploy to redevelop deindustrialized spaces. Within this liminality, we explore the potential for geographical perspectives to solder such contradictions into transdisciplinary heritage assessments and tourism contexts. How might the spatial tools of landscape and scalar analyses expose alternative and sustainable futures within broader patterns of industrial heritage management and consumption?

Using three comparative cases, interview and landscape methods and conducting discourse analysis within a spatial and scalar framework, we explore the increasing presence of industrial World Heritage.

We present both an institutional reflection upon the complexities of heritage discourse across complex spatial configurations and the intersectional historical, cultural, political, environmental and economic geographies that guide and emerge out of World Heritage Designations. Framed scalarly and spatially, we highlight common interpretation, tourism and heritage management styles and concerns found across industrial World Heritage. We point out trans-scalar considerations for future municipalities and regions looking to utilize their industrial landscapes and narratives.

We believe that more theoretical groundings in space and scale may lead to both the flexibility and the applicability needed to assess and, in turn, manage trans-scalar and trans-spatial complex heritage sites. These perspectives may be uniquely poised to assess the complex geographies of industrial, particularly mining, World Heritage Sites.

The purpose of this paper is to examine the validity of community organisation as part of the systemic model. Based on the systemic model of community crime, it is perceived that community networks are negatively correlated with victimisation. The authors consider an alternative interpretation, suggesting that these conceptual relationships can run opposite to the directions shown in the systemic model. The crime rate itself may change residents’ perception of neighbouring behaviour and informal control.

This hypothesis is tested using a multigroup analysis of the community organisation across a sample of victims and non-victims in a Malaysian neighbourhood.

The authors find that property crime affects ethnic relations among the residents, where the non-victims perceived higher levels of ethnic relationships compared with the victims. The results show that configural and metric invariance are fully supported, while scalar and structural invariance were partially supported, suggesting that the items measured may be robust across cultures and that the factor loadings appeared to be equivalent across victims and non-victims. Non-victims perceived significantly higher informal control and closer ethnic relations than victims.

The paper provides a new direction of the systemic model, whereby victimisation could affect residents’ size of friendship networks and perception informal control.