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.

A second order control-volume finite-element least-squares strategy for simulating diffusion in strongly anisotropic media

An unstructured mesh �nite volume discretisation method for simulating di�usion in anisotropic media in two-dimensional space is discussed. This technique is considered as an extension of the fully implicit hybrid control-volume �nite-element method and it retains the local continuity of the ux at the control volume faces. A least squares function recon- struction technique together with a new ux decomposition strategy is used to obtain an accurate ux approximation at the control volume face, ensuring that the overall accuracy of the spatial discretisation maintains second order. This paper highlights that the new technique coincides with the traditional shape function technique when the correction term is neglected and that it signi�cantly increases the accuracy of the previous linear scheme on coarse meshes when applied to media that exhibit very strong to extreme anisotropy ratios. It is concluded that the method can be used on both regular and irregular meshes, and appears independent of the mesh quality.

¡Latin jazz! : a syncretic journey from Spain, Cuba, the United States and back

The creative work, ¡Latin Jazz! is a 50 minute radio documentary to be broadcast on ABC Classic FM. It looks at the evolution of Latin jazz from Spain, Cuba and the United States. It examines the social effects on the style and specifically on the syncretic movement between the countries. The documentary traces my travel to Madrid, Spain and looks at Latin jazz through a deconstruction of the style, musical examples and interviews with prominent artists. Artists interviewed were Chano Domínguez, a Spanish flamenco jazz pianist, Bobby Martínez an American saxophonist, Alain Pérez a Cuban bassist and Pepe Rivero a Cuban pianist. The exegesis supports the radio documentary by examining the style in more depth, and is broken into three main sections. First it traces the historical relationship that occurred through the Ida y Vuelta (To and Fro), the similarities and influences through the habanera, the decíma and the religion of Santería. This is followed by specific musical elements within Latin jazz such as instrumentation, clave, harmony and improvisation, whilst the third section looks at the influences of the new syncretic movement back to Spain.

Numerical investigations of linear least squares methods for derivative estimation

The results of a numerical investigation into the errors for least squares estimates of function gradients are presented. The underlying algorithm is obtained by constructing a least squares problem using a truncated Taylor expansion. An error bound associated with this method contains in its numerator terms related to the Taylor series remainder, while its denominator contains the smallest singular value of the least squares matrix. Perhaps for this reason the error bounds are often found to be pessimistic by several orders of magnitude. The circumstance under which these poor estimates arise is elucidated and an empirical correction of the theoretical error bounds is conjectured and investigated numerically. This is followed by an indication of how the conjecture is supported by a rigorous argument.

Antecedents of importer relationship performance in Latin America

Emerging market importers are increasingly engaging in relationships with foreign suppliers. Nevertheless, characteristics of the institutional and cultural environments of countries may affect relationship behaviour. Furthermore research on relationship marketing primarily focuses on the marketing activities of exporters from developed countries and much less attention is paid to the import side of the exchange process. Thus, the objective of this study is to empirically examine importer relationship performance in a Latin America context. This article proposes and tests a conceptual model that includes the antecedents and outcomes of trust and commitment with a survey of Chilean importers. The model uses confirmatory factor analysis (CFA) to develop the construct measures and structural equation modelling (SEMS) to test the model. The findings of this study contribute to a better understanding of the driving forces of trust and commitments and their influence on importing firms' performance in an emerging market context.

Facile synthesis of Lithium Niobate squares by a combustion route

A combustion synthesis of lithium niobate (LN) squares from activated niobium oxide (Nb2 O5.nH2O) and Li2CO3 was studied to understand all the chemical reactions involved, and the nucleation and square-growth mechanisms. It was found that first the lithium ions react with the fuel (urea), then niobium ions of Nb2 O5.nH2O begin a continuous reaction with the fuel to form metal-organic complexes. LN nuclei are formed by the solid-state reaction of Li- and Nb-organic complexes at 430 degrees celcius. Lithium niobate squares are obtained in the crystallization stasge at 700 degrees celcius, which go on the grow into larger squares at 850 degrees celcius because of the agglomeration effect.

Least-squares congealing for large numbers of images

In this paper we pursue the task of aligning an ensemble of images in an unsupervised manner. This task has been commonly referred to as “congealing” in literature. A form of congealing, using a least-squares criteria, has been recently demonstrated to have desirable properties over conventional congealing. Least-squares congealing can be viewed as an extension of the Lucas & Kanade (LK)image alignment algorithm. It is well understood that the alignment performance for the LK algorithm, when aligning a single image with another, is theoretically and empirically equivalent for additive and compositional warps. In this paper we: (i) demonstrate that this equivalence does not hold for the extended case of congealing, (ii) characterize the inherent drawbacks associated with least-squares congealing when dealing with large numbers of images, and (iii) propose a novel method for circumventing these limitations through the application of an inverse-compositional strategy that maintains the attractive properties of the original method while being able to handle very large numbers of images.

The growth and international expansion of an emerging market retailer in Latin America

This study contributes to the literature on international retailing by addressing a gap in the literature as to how retailers from emerging markets expand internationally. This historical case study analyzes the growth and internationalization process of Chilean retailer Falabella, one of the largest in Latin America and has been able to compete with multinationals from developed countries. The research is based upon primary and secondary data sources including 33 oral interviews with company managers and family executives, as well as industry data, corporate reports, and trade journals. Drawing on institutional theory, the findings show that by belonging to a family conglomerate, engaging in networks and partnerships, organizational learning, and having an experienced management team helped Falabella gain legitimacy in all international markets.