On rank, underdetermined systems and consistency

The concepts of rank, underdetermined systems and consistency in linear algebra are discussed in the context of a puzzle. The article begins with a specific example, moving on to a generalization of the example and then to the general n x n case. As well as providing a solution of the puzzle, the article aims to provide students with a greater understanding of these abstract ideas in linear algebra through the study of the puzzle.

Asymmetric oligopoly and foreign direct investment: implications for host-country tax-setting

We present a duopoly model with heterogeneous firms that vary in cost-efficiency, each of which can choose to serve a foreign market by either exporting or local production. We do so to analyse the effects of a host-country corporate profit tax on both the scale and composition of FDI, and find that: strategic interaction between oligopolistic firms provides for a pattern of FDI that favours cost-inefficiency to the detriment of host-country welfare; and the host-country tax rate can be optimally used to avoid such patterns of FDI and instead promote direct investment by a relatively cost-efficient firm.

A new framework for understanding inequalities between expatriates and host country nationals

An interdisciplinary theoretical framework is proposed for analysing justice in global working conditions. In addition to gender and race as popular criteria to identify disadvantaged groups in organizations, in multinational corporations (MNCs) local employees (i.e. host country nationals (HCNs) working in foreign subsidiaries) deserve special attention. Their working conditions are often substantially worse than those of expatriates (i.e. parent country nationals temporarily assigned to a foreign subsidiary). Although a number of reasons have been put forward to justify such inequalities—usually with efficiency goals in mind—recent studies have used equity theory to question the extent to which they are perceived as fair by HCNs. However, since perceptual equity theory has limitations, this study develops an alternative and non-perceptual framework for analysing such inequalities. Employment discrimination theory and elements of Rawls’s ‘Theory of Justice’ are the theoretical pillars of this framework. This article discusses the advantages of this approach for MNCs and identifies some expatriation practices that are fair according to our non-perceptual justice standards, whilst also reasonably (if not highly) efficient.

Liability of country foreignness and liability of regional foreignness: their effects on geographic diversification and firm performance

The costs of inter- and intra-regional diversification have been widely discussed in the existing international business literature, but the findings are mixed. Explanations for the mixed findings have important managerial implications, because business managers have to estimate accurately the costs of doing business within and across regions before they make their internationalization decisions. To explain the existing mixed findings, this study differentiates between liabilities of foreignness at the country and regional levels, and explores the joint effects of liability of country foreignness (LCF) and liability of regional foreignness (LRF) on the performance of internationalizing firms. Using data from 167 Canadian firms, we find that LCF may not necessarily be negatively correlated with intra-regional diversification, but LRF is positively correlated with inter-regional diversification. LCF moderates the relationship between LRF and inter-regional diversification, and also mediates the relationship between intra-regional diversification and firm performance. LRF mediates the relationship between inter-regional diversification and firm performance. Missing one or more of these variables may result in different cost estimates. Identification of the relationships between these variables helps to improve the accuracy of estimating the costs of doing business aboard.

Public real estate and the term structure of interest rates: a cross-country study

Using a variation of the Nelson-Siegel term structure model we examine the sensitivity of real estate securities in six key global markets to unexpected changes in the level, slop and curvature of the yield curve. Our results confirm the time-sensitive nature of the exposure and sensitivity to interest rates and highlight the importance of considering the entire term structure of interest rates. One issue that is of particular of interest is that despite the 2007-9 financial crisis the importance of unanticipated interest rate risk weakens post 2003. Although the analysis does examine a range of markets the empirical analysis is unable to provide definitive evidence as to whether REIT and property-company markets display heightened or reduced exposure.

Cytogenetic studies of Brazilian pediatric myelodysplastic syndrome cases: challenges and difficulties in a large and emerging country

Myelodysplastic syndromes (MDS) and juvenile myelomonocytic leukemia (JMML) are rare hematopoietic stem cell diseases affecting children. Cytogenetics plays an important role in the diagnosis of these diseases. We report here the experience of the Cytogenetic Subcommittee of the Brazilian Cooperative Group on Pediatric Myelodysplastic Syndromes (BCG-MDS-PED). We analyzed 168 cytogenetic studies performed in 23 different cytogenetic centers; 84 of these studies were performed in patients with confirmed MDS (primary MDS, secondary MDS, JMML, and acute myeloid leukemia/MDS+Down syndrome). Clonal abnormalities were found in 36.9% of the MDS cases and cytogenetic studies were important for the detection of constitutional diseases and for differential diagnosis with other myeloid neoplasms. These data show the importance of the Cooperative Group for continuing education in order to avoid a late or wrong diagnosis.

NDIM achievements: massive, arbitrary tensor rank and N-loop insertions in Feynman integrals

One of the main difficulties in studying quantum field theory, in the perturbative regime, is the calculation of D-dimensional Feynman integrals. In general, one introduces the so-called Feynman parameters and, associated with them, the cumbersome parametric integrals. Solving these integrals beyond the one-loop level can be a difficult task. The negative-dimensional integration method (NDIM) is a technique whereby such a problem is dramatically reduced. We present the calculation of two-loop integrals in three different cases: scalar ones with three different masses, massless with arbitrary tensor rank, with and N insertions of a two-loop diagram.