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.

Proto-alphabetic inscriptions from the Wadi Arabah

Abstract: Three early West Semitic inscriptions from the Arabah valley are studied here, all of them apparently connected with the Egyptian copper-mining activity in the region, notably at Timna, in the period of the Ramessides. The most striking detail in these texts is a sign corresponding to an Egyptian hieroglyph (N6B ) which depicts two serpents guarding the sun-disc, and another with one serpent (N6 , ); these never appear on conventional tables of early alphabetic letters; this leads to a critical reappraisal of current identifications of the original picture-signs, and elaboration of a new system of interpreting early Canaanite inscriptions, involving recognition that the signs could sometimes stand for whole words and could also be used as rebuses.

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).

Unidades organizativas indígenas del área indoeuropea de Hispania III: addenda

[ES] Se ofrecen los nuevos nombres, repetidos o no, de unidades organizativas indígenas (cognationes, gentes y gentilitates) aparecidos desde la década de los 90 del pasado siglo y documentados en la epigrafía latina y celtibérica de la Hispania indoeuropea

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.

La atracción de la falsa palabra y del código prohibido en Margaret Atwood: "Nolite te bastardes carborundorum"

Este trabajo ha sido realizado dentro del Grupo de Investigación GIU 10–19 “LITTERARVM. Grupo de Investigación en Literatura, Retórica y Tradición Clásica” de la UPV/EHU.

La onomástica de las inscripciones romanas del País Vasco. Estructura del nombre personal y estatuto jurídico

Este trabajo se ha desarrollado a partir de la edición de las inscripciones romanas del País Vasco dentro del proyecto PETRAE Hispaniarum (Université Michel de Montaigne-Bordeaux III, Francia).

Inscripciones romanas de Segovia, III: "addenda et corrigenda" a «Epigrafía romana de Segovia y su provincia»

[ES] En este artículo presentamos nuestra tercera aportación de novedades de la epigrafía de época romana de la provincia de Segovia, con seis piezas nuevas, recogemos dos ya publicadas, de una aportamos nueva lectura e interpretación, e introducimos un apartado de corrigenda con dos entradas.