• Journal of the Korean Mathematical Society
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• v.60 no.1
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• pp.91-113
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• 2023

The polytope of tristochastic tensors of degree three, the Latin polytope, has two kinds of extreme points. Those that are at a maximum distance from the barycenter of the polytope correspond to Latin squares. The remaining extreme points are said to be short. The aim of the paper is to determine the geometry of these short extreme points, as they relate to the Latin squares. The paper adapts the Latin square notion of an intercalate to yield the new concept of a cross-intercalate between two Latin squares. Cross-intercalates of pairs of orthogonal Latin squares of degree three are used to produce the short extreme points of the degree three Latin polytope. The pairs of orthogonal Latin squares fall into two classes, described as parallel and reversed, each forming an orbit under the isotopy group. In the inverse direction, we show that each short extreme point of the Latin polytope determines four pairs of orthogonal Latin squares, two parallel and two reversed.

• Iberoamérica
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• v.12 no.1
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• pp.241-265
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• 2010

The main purpose of this study is to reveal the historical origins of Latin American economic underdevelopment, by answering two research questions; 1)'Why is Latin America underdeveloped?' and 2)'How has colonial experience impacted on the economic growth in Latin America?' First, this essay analyzes long-term tendency of growth domestic product(GDP) per capita data. The data verify that current underdevelopment of Latin American economy is the result of economic stagnation during the eighteenth and nineteenth centuries, when Latin America suffered political and economic instability before and after the independence from Spain and Portugal. It elucidates that colonial experience affected on the economic growth in Latin America. Second, this essay reviews key independent variables of the relationship between colonial experience and economic growth in Latin America. To do so, the study categorizes extant literature into two groups according to the type of its independent variables: 1)internal factor and 2)external factor. Finally, the essay surveys the role of institutions in Latin American economic growth and development. The survey confirms that the importance of institutions in the study of Latin American economic history. In addition, the essay suggests some tasks for further research in Latin American economic history; 1)the construction of basic economic data, 2)the substantialization of the role and characteristics of institutions, and 3)the expansion of research on institutions which overcomes ideological rigidity of existing institutional approach.

• Journal of the Korean Society of Costume
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• v.41
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• pp.139-152
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• 1998

The purpose of this study is to consider what influences the Spanish folk costumes had on the ones of Latin America on Acculturation Phenomenon during Spanish reign over Latin America. As a method of doing this, the researcher compared and analyzed the style of dress such as color, material, design and accessories of Spanish folk costumes and the ones of Latin America, classifying them by male costumes and female ones respectively, by studying reference books, literature, and photographs related to the folk costumes and visiting this areas. The results of the study were summarized as follows; First, we can find out Spanish folk costumes were accepted to the folk costumes of Latin America just as it were. Second, Spainish folk costumes have been developed to be suitable for the climatic, geographical cultural characteristics of Latin America. Third, the folk costumes of Latin America become much simpler by the influence of Spainish culture. Fourth, as a result of cultural contact, mixture with Spainish culture, native folk costumes of Latin America had more various style. In conclusion, Spanish government over Latin America had given a cultural homogeneousness and colonial culture of Spain and traditional culture of Latin America have been mixed and created the present unique folk costumes of Latin America. Therefore good understanding and use of the sense of beauty of folk clothes of Latin America influenced by Spain culture will be helpful to enlarge creativeness of design of modern fashion.

• Cross-Cultural Studies
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• v.23
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• pp.295-319
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• 2011

This study examines how Latinidad can be reclaimed as a site for exploring affinities of Latinos in Latin music industry, especially from the 90s. By looking at sites where Latinidad is constituted, such as the case of Jennifer $L{\acute{o}}pez$ becoming Selena, it intends to suggest that the concept can be deployed as a political bridge to connect latinos. And by examining Cuban-American artists' self identification in Latin Grammy Awards, it reveals that the latin music business definitions of Latinidad is coded differently for them as 'Caribbean' to erase a natural resonance of Cuba. In addition, by dealing with Shakira's somewhat contradictory representation of Colombianidad, the study argues that Latinidad serves as a social construct and newly emerges as a convenient interstitial place between the Latin American and the US Latino. Shakira's case serves to show how the transnational trends of latin music contribute to create a simultaneous sense of Latinidad and Colombianidad. Focusing on the commercial significance of understanding of what latino is or should be, this paper aims to interrogate current understandings of Latinidad in the realm of latin music and popular culture.

• Fashion & Textile Research Journal
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• v.14 no.5
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• pp.749-757
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• 2012

The purpose of this study is to consider the characteristics of Latin American style expressed in modern fashion. Latin American fashion has been overlooked the influences, scope and diversity of dress within this world culture region. So, this study aim to unravel the history and significance of Latin American fashion. As for the research methodology, to classify types of the Latin American fashion style theoretical study and content analysis for Vogue magazine has been undertaken. In this study, the term of Latin American fashion style refers to the dress of common characteristics involving Latin American culture. To inquire into the characteristics of the types, various cases has been searched through books, internet, and designer's collections. The results of this study can be summarized as followings. The major types of Latin American fashion style are Indio-ethnic style, tropical-exotic style, and latin-romantic style. First, Indio-ethnic style has been involving traditional costumes and patterns which are originated in ancient Mexico and Peru. Second, tropical-exotic style has been involving bright color, tropical fruit and African flower pattern, various textures, and relaxed silhouette which are inspired by free and easy culture in Brazil and the Caribbean. Third, latin-romantic style has been involving the mix of Latin American tradition and romantic detail such as see-through material, lace, ruffle, spanish flower motif. In conclusion, Latin American style on contemporary fashion is based on interest to cannibalize folk theme, technique, icons and exotic others.

• Journal for History of Mathematics
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• v.23 no.3
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• pp.21-31
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• 2010

A latin square of order n is an $n{\times}n$ array with entries from a set of n numbers arrange in such a way that each number occurs exactly once in each row and exactly once in each column. Two latin squares of the same order are orthogonal latin square if the two latin squares are superimposed, then the $n^2$ cells contain each pair consisting of a number from the first square and a number from the second. In Europe, Orthogonal Latin squares are the mathematical concepts attributed to Euler. However, an Euler square of order nine was already in existence prior to Euler in Korea. It appeared in the monograph Koo-Soo-Ryak written by Choi Seok-Jeong(1646-1715). He construct a magic square by using two orthogonal latin squares for the first time in the world. In this paper, we explain Choi' s orthogonal latin squares and the history of the Orthogonal Latin squares.

• Journal of applied mathematics & informatics
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• v.40 no.1_2
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• pp.133-139
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• 2022

We offered a new method for constructing Latin squares. We introduce the concept of a standard form via example for Latin squares of order n and we also call it symmetric BCL algebras matrix, and thereby become BCL algebra representations of the picture of Latin squares. Our research shows that some new properties of the Latin squares with BCL algebras are in ℤ_n.

• Cross-Cultural Studies
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• v.22
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• pp.203-221
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• 2011

With the beginning of systemized research on Latin American region as a part of the third world in the mid-60s, Latin American regional studies in Korea acquired a steppingstone for development through the establishment of Hankook University of Foreign Studies Central & South American Regional Study, the creation of Central & South America Research Center, and Latin American Society established in the mid-80s. Latin American regional studies achieved quantitative and qualitative growth with the natioal globalization policy in the 90s, and research centers related to Latin America in Seoul National University, Pusan University of Foreign Studies, Dankook University, and Sunmoon University have contributed to the activation of regional studies. In spite of such achievements, Latin American regional studies, which have developed with 40 years of history, still possess problems that need to be solved. This study achieves qualitative analysis on theses published from 2000 to March 2001 in main Latin America regional study academic journals in Korea to analyze Latin American regional study trend of the recent 10 years in order to search measures for activating Latin American regional studies. Academic journals used in analysis include "Ibero America Research" of Seoul National University Research Center of Central & South America, Spain, "Central & South America Research" of Hankook University of Foreign Studies Research Center of Central & South America, "Ibero America Research" of Pusan University of Foreign Studies Central & South America Center, and "Latin America Research" published by Latin American Society. According to analysis on publication ratio of published theses according to field, it was presented that culture and politics fields occupied the highest ratio. Social and cultural fields, the elementary studies of regional research which have previously presented a weak research tendency, have achieved noticeable development during the past 10 years. According to analysis on researched nations, Latin America regional study was weighted in particular nations, and nations of economic size and political influence within region were selected as main subjects of research. Furthermore, several nations were not researched at all. For the last 10 years, the depth and width of the Latin America regional study had been decided by the degree of political, economic, social, and cultural significance occupied by the nation. It can be said that studies based on overall understanding on regional countries of Latin America have been relatively weak in individual nation study. Furthermore, studies that separate issues to achieve analysis based on the awareness theory of individual branches can be regarded dominant among studies based on entire Latin America. These studies still possess limitations in failing to deviate from the outline of particular region and topic.

• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.285-293
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• 2006

Let X be a n-set and let A = [aij] be a $n {\times} n$ matrix for which $aij {\subseteq} X$, for $1 {\le} i,\;j {\le} n$. A is called a generalized Latin square on X, if the following conditions is satisfied: $U^n_{i=1}\;aij = X = U^n_{j=1}\;aij$. In this paper, we prove that every generalized Latin square has an orthogonal mate and introduce a Hv-structure on a set of generalized Latin squares. Finally, we prove that every generalized Latin square of order n, has a transversal set.

• Journal of the Korean Statistical Society
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• v.28 no.2
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• pp.135-150
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• 1999

Latin hypercube sampling(LHS) introduced by McKay et al. (1979) is a widely used method for Monte Carlo integration. Stratified Latin hypercube sampling(SLHS) proposed by Choi and Lee(1993) improves LHS by combining it with stratified sampling. In this article it is shown that SLHS yields an asymptotically more accurate than both stratified sampling and LHS.