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.

Representations of the Natural World in Old English Poetry

Review of Representations of the Natural World in Old English Poetry, by Jennifer Neville (Cambridge UP, 1999).

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.

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.

Influence of Spatial Variability on Pavement Responses Using Latin Hypercube Sampling on Two-Dimensional Random Fields

Although uncertainties in material properties have been addressed in the design of flexible pavements, most current modeling techniques assume that pavement layers are homogeneous. The paper addresses the influence of the spatial variability of the resilient moduli of pavement layers by evaluating the effect of the variance and correlation length on the pavement responses to loading. The integration of the spatially varying log-normal random field with the finite-difference method has been achieved through an exponential autocorrelation function. The variation in the correlation length was found to have a marginal effect on the mean values of the critical strains and a noticeable effect on the standard deviation which decreases with decreases in correlation length. This reduction in the variance arises because of the spatial averaging phenomenon over the softer and stiffer zones generated because of spatial variability. The increase in the mean value of critical strains with decreasing correlation length, although minor, illustrates that pavement performance is adversely affected by the presence of spatially varying layers. The study also confirmed that the higher the variability in the pavement layer moduli, introduced through a higher value of coefficient of variation (COV), the higher the variability in the pavement response. The study concludes that ignoring spatial variability by modeling the pavement layers as homogeneous that have very short correlation lengths can result in the underestimation of the critical strains and thus an inaccurate assessment of the pavement performance. (C) 2014 American Society of Civil Engineers.

Error Correcting Functional Source Coding with Decoder Side Information using Row-Latin Rectangles

The functional source coding problem in which the receiver side information (Has-set) and demands (Want-set) include functions of source messages is studied using row-Latin rectangle. The source transmits encoded messages, called the functional source code, in order to satisfy the receiver's demands. We obtain a minimum length using the row-Latin rectangle. Next, we consider the case of transmission errors and provide a necessary and sufficient condition that a functional source code must satisfy so that the receiver can correctly decode the values of the functions in its Want-set.

Latin hypercube sampling used in the calculation of the fracture probability

The paper proposes Latin hypercube sampling combined with the stratified sampling of variance reduction technique to calculate accurate fracture probability. In the compound sampling, the number of simulations is relatively small and the calculation error is satisfactory.

La oda latina a Venus de Garcilaso de la Vega: adopción de la tradición clásica y su traducción española como relación de transitividad

Resumen: Garcilaso de la Vega, siguiendo el canon pedagógico humanista, se constituyó en un poeta que no solo adoptó la tradición de la lírica clásica en la absorción de temas y motivos, sino que también ensayó la composición de odas, a la manera horaciana, en lengua latina. Estas composiciones, regidas por las reglas métricas que se enseñaban en las escuelas de gramática y retórica, conservan la estructura estrófica y la rigurosa alternancia de sílabas breves y largas. El interés filológico en torno de estos poemas, por los cuales Garcilaso fue elogiado por los intelectuales de su época, es tardío ya que en las primeras ediciones de la obra del toledano no aparecen; será a finales del siglo XIX cuando se ponga la mirada sobre ellos y se comprenderá cuál es la importancia del contexto italiano de composición y el compromiso del poeta con lo clásico. Este cruce de imaginarios, que tiene como límite último la producción poética de Garcilaso, puede entenderse como un ejercicio de traducibilidad entre el sentido de un sistema semiótico adoptado, como es en este caso la utilización de la lengua latina, y la posibilidad de decir algo de ello, lo que implica producir significación; asimismo este juego de traspasos enunciativos se completa con la traducción a la lengua española de las odas latinas de Garcilaso. En consecuencia, los objetivos de la presente comunicación están orientados a analizar los dos pasos de la actividad semántica que se opera en toda relación de traducción: en este caso entre la oda a Venus creada por el poeta hispano y la versión de Nemesia Matarrodona Vizcaíno, quien transpone al español el texto garcilasiano en la edición de Sotelo Salas, del año 1976.

“Un claror de fuente” : presencia de la lírica española medieval y áurea en la poesía de Ángel Escobar (Cuba, 1957-1997)

Integran este número de la revista ponencias presentadas en Studia Hispanica Medievalia VIII : Actas de las X Jornadas Internacionales de Literatura Española Medieval, 2011, y de Homenaje al Quinto Centenario del Cancionero General de Hernando del Castillo.