Difference covering arrays and pseudo-orthogonal Latin squares

A pair of Latin squares, A and B, of order n, is said to be pseudo-orthogonal if each symbol in A is paired with every symbol in B precisely once, except for one symbol with which it is paired twice and one symbol with which it is not paired at all. A set of t Latin squares, of order n, are said to be mutually pseudo-orthogonal if they are pairwise pseudo-orthogonal. A special class of pseudo-orthogonal Latin squares are the mutually nearly orthogonal Latin squares (MNOLS) first discussed in 2002, with general constructions given in 2007. In this paper we develop row complete MNOLS from difference covering arrays. We will use this connection to settle the spectrum question for sets of 3 mutually pseudo-orthogonal Latin squares of even order, for all but the order 146.

Labor Regulations and Unionization Trends: Comparative Analysis of Latin American Countries

This paper discusses the influences of labor regulations on unionization rates through the comparative analysis of Argentina, Chile and Mexico, expecting to contribute to the understanding of the determinants of unionization in Latin America. These regulations, though only one of the factors determining unionization levels, have a crucial role, their influence being at least threefold: they define entitlements to and exclusions from the right to unionize, affect union recruitment strategies and, by generating incentives and disincentives, contribute to shape individual membership decisions. After discussing historical aspects of unionization in the three countries, the analysis centers successively in two periods in which the countries compared showed both similarities and contrasts relevant to the analysis of unionization trends. In the first, the comparison is between Argentina (1976-83) and Chile (1973-89), both under military regimes that had much in common, but with contrasting unionization trends. In the second, the focus is in Argentina (1991-2001) and Mexico (1984-2000), where the reforms implemented to liberalize the economy and ensuing social-economic and labor market transformations were similar, but unionization trends differed. It is argued that, in each case, the divergent behavior of unionization, in spite of the similar economic and sociopolitical contexts, may at least partly be attributed to differences in key labor institutions.

SME international performance in Latin America: The role of entrepreneurial and technological capabilities

SMEs from emerging markets in Latin America are increasingly engaging in internationalization. Nevertheless, there is limited research into how these firms achieve international performance. This study proposes and tests a conceptual model that considers managerial and technology-related capabilities and their impact on international performance of SMEs. The model uses confirmatory factor analysis (CFA) to develop the underlying multi-item constructs and structural equation modeling (SEM) to test the model with data from 233 Chilean SMEs. Specifically, the model considers the role of international entrepreneurial orientation and Internet capabilities on international market performance, taking into account the mediating effect of international entrepreneurial opportunity recognition and technology-related international networks. Results show that international entrepreneurial opportunity recognition and international networks mediate the relationship between international entrepreneurial orientation and Internet marketing capabilities on SME international performance.

On the number of two-line and three-line latin rectangles - an alternative approach

The number of two-line and three-line Latin rectangles is obtained by recursive methods in a setting slightly more general than usually considered. We show how this leads to a generalisation which is proved elsewhere.

The Mediated Immediacy : João Batista Libanio and the Question of Latin American Liberation Theology

This study is a systematic analysis of mediated immediacy in the production of the Brazilian professor of theology João Batista Libanio. He stresses both ethical mediation and the immediate character of the faith. Libanio has sought an answer to the problem of science and faith. He makes use of the neo-scholastic distinction between matter and form. According to St. Thomas Aquinas, God cannot be known as a scientific object, but it is possible to predicate a formal theological content of other subject matter with the help of revelation. This viewpoint was emphasized in neo-Thomism and supported by the liberation theologians. For them, the material starting point was social science. It becomes a theologizable or revealable (revelabile) reality. This social science has its roots in Latin American Marxism which was influenced by the school of Louis Althusser and considered Marxism a science of history . The synthesis of Thomism and Marxism is a challenge Libanio faced, especially in his Teologia da libertação from 1987. He emphasized the need for a genuinely spiritual and ethical discernment, and was particularly critical of the ethical implications of class struggle. Libanio s thinking has a strong hermeneutic flavor. It is more important to understand than to explain. He does not deny the need for social scientific data, but that they cannot be the exclusive starting point of theology. There are different readings of the world, both scientific and theological. A holistic understanding of the nature of religious experience is needed. Libanio follows the interpretation given by H. C. de Lima Vaz, according to whom the Hegelian dialectic is a rational circulation between the totality and its parts. He also recalls Oscar Cullmann s idea of God s Kingdom that is already and not yet . In other words, there is a continuous mediation of grace into the natural world. This dialectic is reflected in ethics. Faith must be verified in good works. Libanio uses the Thomist fides caritate formata principle and the modern orthopraxis thinking represented by Edward Schillebeeckx. One needs both the ortho of good faith and the praxis of the right action. The mediation of praxis is the mediation of human and divine love. Libanio s theology has strong roots in the Jesuit spirituality that places the emphasis on contemplation in action.

Antecedents of SME export intensity in a Latin American market

Small and medium-sized enterprises (SMEs) from emerging markets in Latin America are increasingly engaging in export-related activities. Nevertheless, limited research exists into the export behavior of such firms. This study proposes and tests a conceptual model that includes the main drivers and inhibitors of export intensity for SMEs from Chile. The model uses confirmatory factor analysis (CFA) to develop the underlying multi-item constructs and structural equation modeling (SEM) to test the model. Results show that manager’s export commitment as well as managerial and organizational resources and capabilities are drivers of export intensity. In addition, the results show that managerial perceptions of internal barriers, such as a manager’s lack of international experience and knowledge, act as significant barriers to developing exports. However, unlike previous findings from developed countries no evidence exists of external cost barriers having a significant impact on export intensity, which is possibly an indication of a competitive business environment in Chile.

Discursive (de)legitimation of a contested Finnish greenfield investment project in Latin America

Despite the central role of legitimacy in corporate social responsibility debate, little is known of subtle meaning-making processes through which social actors attempt to establish or de-establish legitimacy for socially contested corporate undertakings, and through which they, at the same time, struggle to define the proper social role and responsibility of corporations. We investigated these processes in the context of the intense socio-political conflict around the Finnish forest industry company Metsa¨-Botnia’s world-scale pulp mill in Uruguay. A critical discursive analysis of Finnish media texts highlights three types of struggle that characterized the media coverage: legalistic argumentation, truth fights, and political battles. Interestingly, this case illustrates how the corporate representatives — with the help of the national media — tend to frame the issue in legalistic terms, emphasize their expert knowledge in technical and environmental evaluations, and distance themselves from political disputes. We argue that similar tendencies are likely to characterize corporate social responsibility debates more generally.

Paganism, Traditionalism, Nationalism : Narratives of Russian Rodnoverie

The topic of this dissertation is Rodnoverie, a religion that revives pre-Christian Slavic spirituality. Rodnoverie has been noted to be one of the fastest growing new religions in Russia and the aim of the study is to analyse why and how the movement has attained its popularity. First, the analysis asks how Rodnovers themselves explain the revival of ancient Paganism at this particular historical moment. Secondly, these interpretations are reflected in the framework of sociological discussions about contemporary religiosity. The analysis discusses how the Rodnoverie movement corresponds to some tendencies that are considered to characterise late modern religiosity. The primary material of the research is Rodnoverie texts: books, newspapers and electronic articles. The published literature is supplemented by fieldwork material which includes interviews with some Rodnoverie leaders and the author s participant observation of rituals and gatherings. Methodologically, the study draws on a sociological narrative approach that is focused on examining how individuals and groups use narratives to construct their identities and to challenge mainstream discussions and interpretations. The analysis discerns three narratives. The first one of these portrays Rodnoverie as a revival of the native Russian or Slavic religion. The narrative provides a new version of the old Slavophile idea, according to which imitation of the West has misguided Russia and, therefore, Russians should turn to their own tradition. In the second narrative, Rodnoverie is presented as a nature religion that features tolerance and pluralistic values. According to these perceptions, the emergence of Rodnoverie marks the dead-end of the earlier hegemonic universalistic world-views, the mono-ideologies . While the nationalist narrative focuses on Russia s national heritage, the third narrative interprets the tradition in more universal terms as an alternative to modern values and way of life. The main argument of this narrative is that contemporary people have become alienated from nature, their roots and their community. The themes that are discussed in the theoretical literature on late modern religiosity often configure in Rodnovers interpretations either directly or when looked at through an analytical framework. Of the various themes that are addressed in a sociological study of religion the ones that have most relevance for Rodnoverie are the discussions on individualisation, globalisation and secularisation. Rodnoverie reflects such tendencies as the subjectivisation of religion and the modern crisis of authority. The movement also both exemplifies and actively promotes religious pluralisation in Russia.

Nationalism Circumscribed : Transnational Governance of Minority Rights in Post-Cold War Europe

For the past two centuries, nationalism has been among the most influential legitimizing principles of political organization. According to its simple definition, nationalism is a principle or a way of thinking and acting which holds that the world is divided into nations, and that national and political units should be congruent. Nationalism can thus be divided into two aspects: internal and external. Internally, the political units, i.e., states, should be made up of only one nation. Externally each nation-state should be sovereign. Transnational national governance of rights of national minorities violates both these principles. This study explores the formation, operation, and effectiveness of the European post-Cold War minorities system. The study identifies two basic approaches to minority rights: security and justice. These approaches have been used to legitimize international minority politics and they also inform the practice of transnational governance. The security approach is based on the recognition that the norm of national self-determination cannot be fulfilled in all relevant cases, and so minority rights are offered as a compensation to the dissatisfied national groups, reducing their aspiration to challenge the status quo. From the justice perspective, minority rights are justified as a compensatory strategy against discrimination caused by majority nation-building. The research concludes that the post-Cold War minorities system was justified on the basis of a particular version of the security approach, according to which only Eastern European minority situations are threatening because of the ethnic variant of nationalism that exists in that region. This security frame was essential in internationalising minority issues and justifying the swift development of norms and institutions to deal with these issues. However, from the justice perspective this approach is problematic, since it justified double standards in European minority politics. Even though majority nation-building is often detrimental to minorities also in Western Europe, Western countries can treat their minorities more or less however they choose. One of the main contributions of this thesis is the detailed investigation of the operation of the post-Cold War minorities system. For the first decade since its creation in the early 1990s, the system operated mainly through its security track, which is based on the field activities of the OSCE that are supported by the EU. The study shows how the effectiveness of this track was based on inter-organizational cooperation in which various transnational actors compensate for each other s weaknesses. After the enlargement of the EU and dissolution of the membership conditionality this track, which was limited to Eastern Europe from the start, has become increasingly ineffective. Since the EU enlargement, the focus minorities system has shifted more and more towards its legal track, which is based on the Framework Convention for the Protection of National Minorities (Council of Europe). The study presents in detail how a network of like-minded representatives of governments, international organizations, and independent experts was able strengthen the framework convention s (originally weak) monitoring system considerably. The development of the legal track allows for a more universal and consistent, justice-based approach to minority rights in contemporary Europe, but the nationalist principle of organization still severely hinders the materialization of this possibility.

Wireless Network-Coded Bidirectional Relaying Using Latin Squares for M-PSK Modulation

The design of modulation schemes for the physical layer network-coded two-way relaying scenario is considered with a protocol which employs two phases: multiple access (MA) phase and broadcast (BC) phase. It was observed by Koike-Akino et al. that adaptively changing the network coding map used at the relay according to the channel conditions greatly reduces the impact of MA interference which occurs at the relay during the MA phase and all these network coding maps should satisfy a requirement called the exclusive law. We show that every network coding map that satisfies the exclusive law is representable by a Latin Square and conversely, that this relationship can be used to get the network coding maps satisfying the exclusive law. The channel fade states for which the minimum distance of the effective constellation at the relay become zero are referred to as the singular fade states. For M - PSK modulation (M any power of 2), it is shown that there are (M-2/4 - M/2 + 1) M singular fade states. Also, it is shown that the constraints which the network coding maps should satisfy so that the harmful effects of the singular fade states are removed, can be viewed equivalently as partially filled Latin Squares (PFLS). The problem of finding all the required maps is reduced to finding a small set of maps for M - PSK constellations (any power of 2), obtained by the completion of PFLS. Even though the completability of M x M PFLS using M symbols is an open problem, specific cases where such a completion is always possible are identified and explicit construction procedures are provided. Having obtained the network coding maps, the set of all possible channel realizations (the complex plane) is quantized into a finite number of regions, with a specific network coding map chosen in a particular region. It is shown that the complex plane can be partitioned into two regions: a region in which any network coding map which satisfies the exclusive law gives the same best performance and a region in which the choice of the network coding map affects the performance. The quantization thus obtained analytically, leads to the same as the one obtained using computer search for M = 4-PSK signal set by Koike-Akino et al., when specialized for Simulation results show that the proposed scheme performs better than the conventional exclusive-OR (XOR) network coding and in some cases outperforms the scheme proposed by Koike-Akino et al.

Physical layer network coding for two-way relaying with QAM and latin squares

In the design of modulation schemes for the physical layer network-coded two way relaying scenario with two phases (Multiple access (MA) Phase and Broadcast (BC) Phase), it was observed by Koike-Akino et al. that adaptively changing the network coding map used at the relay according to the channel conditions greatly reduces the impact of multiple access interference and all these network coding maps should satisfy a requirement called the exclusive law. In [11] the case in which the end nodes use M-PSK signal sets is extensively studied using Latin Squares. This paper deals with the case in which the end nodes use square M-QAM signal sets. In a fading scenario, for certain channel conditions, termed singular fade states, the MA phase performance is greatly reduced. We show that the square QAM signal sets lead to lesser number of singular fade states compared to PSK signal sets. Because of this, the complexity at the relay is enormously reduced. Moreover lesser number of overhead bits are required in the BC phase. We find the number of singular fade states for PAM and QAM signal sets used at the end nodes. The fade state γejθ = 1 is a singular fade state for M-QAM for all values of M and it is shown that certain block circulant Latin Squares remove this singular fade state. Simulation results are presented to show that QAM signal set perform better than PSK.

Wireless network-coded three-way relaying using Latin Cubes

The design of modulation schemes for the physical layer network-coded three-way wireless relaying scenario is considered. The protocol employs two phases: Multiple Access (MA) phase and Broadcast (BC) phase with each phase utilizing one channel use. For the two-way relaying scenario, it was observed by Koike-Akino et al. [4], that adaptively changing the network coding map used at the relay according to the channel conditions greatly reduces the impact of multiple access interference which occurs at the relay during the MA phase and all these network coding maps should satisfy a requirement called exclusive law. This paper does the equivalent for the three-way relaying scenario. We show that when the three users transmit points from the same 4-PSK constellation, every such network coding map that satisfies the exclusive law can be represented by a Latin Cube of Second Order. The network code map used by the relay for the BC phase is explicitly obtained and is aimed at reducing the effect of interference at the MA stage.

Wireless bidirectional relaying and Latin squares

The design of modulation schemes for the physical layer network-coded two way relaying scenario is considered with the protocol which employs two phases: Multiple access (MA) Phase and Broadcast (BC) Phase. It was observed by Koike-Akino et al. that adaptively changing the network coding map used at the relay according to the channel conditions greatly reduces the impact of multiple access interference which occurs at the relay during the MA Phase and all these network coding maps should satisfy a requirement called the exclusive law. We show that every network coding map that satisfies the exclusive law is representable by a Latin Square and conversely, and this relationship can be used to get the network coding maps satisfying the exclusive law. Using the structural properties of the Latin Squares for a given set of parameters, the problem of finding all the required maps is reduced to finding a small set of maps for M-PSK constellations. This is achieved using the notions of isotopic and transposed Latin Squares. Furthermore, the channel conditions for which the bit-wise XOR will perform well is analytically obtained which holds for all values of M (for M any power of 2). We illustrate these results for the case where both the end users use QPSK constellation.