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.

Correspondencias estético-simbólicas en Ordo Virtutum de Hildegarda de Bingen : palabra, imagen, música

Resumen: Ordo Virtutum es la única pieza dramático-musical de Hildegarda de Bingen, traducida generalmente en español como El drama de las Virtudes. Su composición –en lengua latina– data del año 1150 aproximadamente, durante la finalización de su primer libro visionario, el Scivias Domini o Conoce los caminos del Señor. Como figura del siglo XII con la particularidad del don visionario y familiarizada con el estilo de las Sagradas Escrituras, es posible considerar que el símbolo se haya convertido para Hildegarda en el medio más adecuado para poder expresarse. Y como mística, la correspondencia simbólica de múltiples lenguajes estéticos lleva a pensar en un trabajo de creación en el cual una sola de las expresiones no hubiera bastado. Desde el ámbito literario en diálogo con otras artes, en este trabajo observaremos cómo los símbolos provenientes de los lenguajes estéticos empleados por Hildegarda se corresponden y concuerdan, constelados, para ampliar el espectro de sentido de la obra.

Social Interactions and Subjective Well-Being: Evidence from Latin America

In this paper, we seek to examine the effect of comparisons and social capital on subjective well-being. Furthermore, we test if, through social influence and exposure, social capital is either an enhancer or appeaser of the comparison effect. Using the Latinobarómetro Survey (2007) we find that in contrast to most previous studies, the comparison effect on well-being is positive; that is, the better others perform, the happier the individual is. We also find that social capital is among the strongest correlates of individuals’ subjective well-being in Latin American countries. Furthermore, our findings suggest that social contacts may enhance the comparison effect on individual’s happiness, which is more intense for those who perform worse in their reference group.

About the limits of metalanguage: An essay on the modelisation of Latin grammatical lexicography

[EN] Progress in methodology in specific fields is usually very closely linked to the technological progress in other areas of knowledge. This justifies the fact that lexicographical techniques have had to wait for the arrival of the IT era of the last decades of the 20th century in order to be able to create specialised electronic dictionaries which can house and systemise enormous amounts of information which can later be dealt with quickly and efficiently. This study proposes a practical-methodological model which aims to solve the grammatical treatment of adverbs in Ancient Latin. We have suggested a list of 5 types, in a decreasing order from a greater to lesser degree of specialisation; technical (T), semi-technical (S-T), instrumental-valued (I-V), instrumental- descriptive (I-D), instrumental-expository (I-E).

Flores de l. anneo seneca : traduzidas de latin en romance castellano por Iuan Martin Cordeiro Valenciano, Y dirigidas al Muy Magnifico Senor Martin Lopez

Compõe-se de trechos selecionados da obra de Sêneca e traz uma pequena biografia do filósofo, além de partes das cento e vinte quatro "epístolas" dirigidas a seu amigo Lucílio. Constituem, na realidade, ensaios morais sobre vários aspectos da vida. Foi editado pelo célebre impressor francês Critóvão Plantin (ou Plantino), radicado na Bélgica, que notabilizou-se pela preciosidade de seu trabalho tipográfico, o que lhe valeu o título de "Grande Impressor", atribuído por Filipe II, rei da Espanha (Filipe I de Portugal).

Histoire de Portugal : contenant les enterprises, navigations, & gestes memorables des Portugallois, tant en la cõqueste des Indes Orientales par eux descouvertes, qu'és guerres d'Afrique & autres exploits, depuis l'an mil quatre cens nonãte six, jusques à l'an mil cinq cens septante huit, sous Emmanuel premier, Jean troisieme, & Sebastian premier du nom / Pour Antoine Chuppin, ed. ; comprinse en vingt livres, dont les douze premiers sont traduits du latin de Ierosme Osorius, Euesque de Sylues en Algarve, les huit suivans prins de Lopez de Castagnede & d'autres historiensNouvellement mise en françois, par S.G.S. avec un discours du fruit qu'on peut recueillir de la lecture de cette histoire, & ample indice des matieres principales y contenues

Contém os empreendimentos, as navegações e os gestos memoráveis dos portugueses, inclusive em suas colônias.

Completions of epsilon-dense partial Latin squares

A classical question in combinatorics is the following: given a partial Latin square $P$, when can we complete $P$ to a Latin square $L$? In this paper, we investigate the class of textbf{$epsilon$-dense partial Latin squares}: partial Latin squares in which each symbol, row, and column contains no more than $epsilon n$-many nonblank cells. Based on a conjecture of Nash-Williams, Daykin and H"aggkvist conjectured that all $frac{1}{4}$-dense partial Latin squares are completable. In this paper, we will discuss the proof methods and results used in previous attempts to resolve this conjecture, introduce a novel technique derived from a paper by Jacobson and Matthews on generating random Latin squares, and use this novel technique to study $ epsilon$-dense partial Latin squares that contain no more than $delta n^2$ filled cells in total.

In Chapter 2, we construct completions for all $ epsilon$-dense partial Latin squares containing no more than $delta n^2$ filled cells in total, given that $epsilon < frac{1}{12}, delta < frac{ left(1-12epsilonright)^{2}}{10409}$. In particular, we show that all $9.8 cdot 10^{-5}$-dense partial Latin squares are completable. In Chapter 4, we augment these results by roughly a factor of two using some probabilistic techniques. These results improve prior work by Gustavsson, which required $epsilon = delta leq 10^{-7}$, as well as Chetwynd and H"aggkvist, which required $epsilon = delta = 10^{-5}$, $n$ even and greater than $10^7$.

If we omit the probabilistic techniques noted above, we further show that such completions can always be found in polynomial time. This contrasts a result of Colbourn, which states that completing arbitrary partial Latin squares is an NP-complete task. In Chapter 3, we strengthen Colbourn's result to the claim that completing an arbitrary $left(frac{1}{2} + epsilonright)$-dense partial Latin square is NP-complete, for any $epsilon > 0$.

Colbourn's result hinges heavily on a connection between triangulations of tripartite graphs and Latin squares. Motivated by this, we use our results on Latin squares to prove that any tripartite graph $G = (V_1, V_2, V_3)$ such that begin{itemize} item $|V_1| = |V_2| = |V_3| = n$, item For every vertex $v in V_i$, $deg_+(v) = deg_-(v) geq (1- epsilon)n,$ and item $|E(G)| > (1 - delta)cdot 3n^2$ end{itemize} admits a triangulation, if $epsilon < frac{1}{132}$, $delta < frac{(1 -132epsilon)^2 }{83272}$. In particular, this holds when $epsilon = delta=1.197 cdot 10^{-5}$.

This strengthens results of Gustavsson, which requires $epsilon = delta = 10^{-7}$.

In an unrelated vein, Chapter 6 explores the class of textbf{quasirandom graphs}, a notion first introduced by Chung, Graham and Wilson cite{chung1989quasi} in 1989. Roughly speaking, a sequence of graphs is called "quasirandom"' if it has a number of properties possessed by the random graph, all of which turn out to be equivalent. In this chapter, we study possible extensions of these results to random $k$-edge colorings, and create an analogue of Chung, Graham and Wilson's result for such colorings.

Payments for Water Ecosystem Services in Latin America: Evidence from Reported Experience

27 p.

No Brasil, quem não é canalha na véspera, é canalha no dia seguinte, ou, A figura do canalha nas tragédias cariocas de Nelson Rodrigues

A presente dissertação de mestrado analisa a figura do canalha enquanto um tipo social inevitavelmente associado à estrutura cultural brasileira e, como diz seu título, no interior de um ciclo específico da obra dramatúrgica de Nelson Rodrigues: as ditas tragédias cariocas. De fato, ela divide-se em duas partes. Na primeira, põem-se em questão os méritos deste rótulo, tragédias cariocas, apontando, assim, para as implicações ditadas menos por motivos exegéticos do que editoriais de tal classificação. Também nesta primeira parte, figura a tese de que foi Nelson Rodrigues, a partir de A falecida (1953) sua primeira peça a receber esta classificação , um introdutor sui generis dos motivos do nacional-populismo no gênero dramático do país. Tal posição vai de encontro ao que afirma uma quase hegemônica corrente de opinião crítica que busca canonizar a versão de que o pioneirismo da tipificação social dos segmentos populares no drama nacional é patrimônio da geração politizada que capitaneada pelo Teatro de Arena quando do lançamento de Eles não usam black-tie, de Gianfrancesco Guarnieri, em 1958 viria a conferir um conteúdo programático e eivado de implicações ideológicas a este teatro que priorizaria sobretudo a cor local da vida brasileira. A segunda parte enfoca propriamente o objeto que a dissertação se propõe a analisar: o canalha. Nela, a trágica relação dialética entre sujeito e objeto, segundo Georg Simmel, e a problemática da divergência, em Robert Merton, fornecem o suporte teórico necessário para o viés sociológico aqui adotado. A abordagem mais detida sobre a tragédia carioca Otto Lara Resende ou Bonitinha, mas ordinária (1963), acaba por ganhar o estatuto de um autêntico estudo de caso, por situar em primeiro plano questões referentes ao problema ético. Ainda na segunda parte, uma distinção entre os projetos dramáticos rodrigueano e o da geração engajada que se distinguiu no Brasil a partir do final dos anos 1950, no que tange à caracterização de personagens que primam pela falta de escrúpulos, faz-se necessária para a compreensão da concepção de cada qual a respeito da índole do brasileiro médio, no que isto tem de revelador quanto às perspectivas assumidas com relação a nossa identidade nacional

Formas de argumentación retórica en Sófocles, «Electra», 558-609

[ES] El código retórico adquiere una especial relevancia durante el siglo V ateniense. Su presencia es evidente en la literatura del momento, especialmente en la historiografía y en el drama. Sófocles, «Electra», 558-609 es un buen ejemplo de hasta qué punto dicho código se tiene en cuenta en la elaboración de los discursos literarios. Pero, además, este discurso y la escena de la que forma parte ponen de manifiesto la reflexión de la sociedad ateniense acerca de la oposición entre ese código retórico y público y otro código de índole más privada.

Basque legacy in the New World: on the surnames of Latin American presidents

[EN] In this article we explain the etymology of the surnames of Basque origin that some presidents of Latin American countries have or have had in the past. These family names were created in the language called Euskara, in the Basque Country (Europe), and then, when some of the people who bore them emigrated to America, they brought their surnames with them. Most of the family names studied here are either oiconymic or toponymic, but it must be kept in mind that the oiconymic ones are, very often, based on house-nicknames, that is, they are anthroponymic in the first place. As far as possible, we have related the surname, when its origin is oiconymic or toponymic, to its source, i.e. to the house or place where it was created.

A poética do sublime na teoria da tragédia de Friedrich Schiller

Em sua breve carreira filosófica, o poeta e dramaturgo alemão Friedrich Schiller (1759-1805) se apropriou do conceito kantiano do sublime, identificando-o ao trágico e à tragédia, manifestação artística que seria genuinamente regulada por princípios estéticos daquela ordem. Deste modo, buscamos neste trabalho relacionar o caráter subjetivo da experiência do sublime com as suas implicações de ordem prática para a arquitetura da tragédia, em especial as que dizem respeito à estrutura ideal do drama, intimamente vinculada à sua finalidade, que é a efetivação do efeito estético que lhe cabe por definição. Se, por uma via, o pensamento de Schiller caminha em direção ao desenvolvimento de uma concepção do trágico a partir de um dos conceitos fundamentais da estética moderna, por outra ele permanece atrelado à tradição aristotélica quando se concentra no estudo da tragédia enquanto gênero literário e busca por meio deste estudo estabelecer regras para a citação dramatúrgica. Assim, Schiller constrói uma poética do sublime, um programa de arte que inaugura um debate importante sobre o fenômeno do trágico na filosofia alemã. Mas, como pretendemos defender, é justamente a concepção do trágico forjada a partir de uma interpretação acentuadamente moral do sublime que torna o conteúdo de sua teoria da tragédia problemático, embora tal teoria seja a resposta encontrada por Schiller para perguntas ainda pertinentes. Afinal, por que nos entretêm assuntos trágicos?