This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include Constant width bodies in convexity (sections and projections, complete and reduced sets, mixed volumes, and further partial fields) Sets of constant width in non-Euclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further non-Euclidean spaces) The concept of constant width in analysis (using Fourier series, spherical integration, and other related methods) Sets of constant width in differential geometry (using systems of lines and discussing notions like curvature, evolutes, etc.) Bodies of constant width in topology (hyperspaces, transnormal manifolds, fiber bundles, and related topics) The notion of constant width in discrete geometry (referring to geometric inequalities, packings and coverings, etc.) Technical applications, such as film projectors, the square-hole drill, and rotary engines Bodies of Constant Width: An Introduction to Convex Geometry with Applications will be a valuable resource for graduate and advanced undergraduate students studying convex geometry and related fields. Additionally, it will appeal to any mathematicians with a general interest in geometry.
The purpose of this paper is to study the following problem: When is there a locally flat embedding g: N[superscript]n [right arrow] M[superscript]m such that pg is [lowercase Greek]Alpha-close to h? This problem is intimately related to the problem of approximating topological embeddings with locally flat embeddings.
El congreso Discrete Mathematics Days (DMD20/22) tendrá lugar del 4 al 6 de julio de 2022, en la Facultad de Ciencias de la Universidad de Cantabria (Santander, España). Este congreso internacional se centra en avances dentro del campo de la Matemática discreta, incluyendo, de manera no exhaustiva: · Algoritmos y Complejidad · Combinatoria · Teoría de Códigos · Criptografía · Geometría Discreta y Computacional · Optimización Discreta · Teoría de Grafos · Problemas de localización discreta y temas relacionados Las ediciones anteriores de este evento se celebraros en Sevilla (2018) y Barcelona (2016), estos congresos heredan la tradición de las Jornadas de Matemática Discreta y Algorítmica (JMDA), el encuentro bienal en España en Matemática Discreta (desde 1998). Durante la celebración del congreso tendrán lugar cuatro conferencias plenarias, cuarenta y dos presentaciones orales y una sesión de once pósteres. Abstract The Discrete Mathematics Days (DMD20/22) will be held on July 4-6, 2022, at Facultad de Ciencias of the Universidad de Cantabria (Santander, Spain). The main focus of this international conference is on current topics in Discrete Mathematics, including (but not limited to): Algorithms and Complexity Combinatorics Coding Theory Cryptography Discrete and Computational Geometry Discrete Optimization Graph Theory Location and Related Problems The previous editions were held in Sevilla in 2018 and in Barcelona in 2016, inheriting the tradition of the Jornadas de Matemática Discreta y Algorítmica (JMDA), the Spanish biennial meeting (since 1998) on Discrete Mathematics. The program consists on four plenary talks, 42 contributed talks and a poster session with 11 contributions.
This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include Constant width bodies in convexity (sections and projections, complete and reduced sets, mixed volumes, and further partial fields) Sets of constant width in non-Euclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further non-Euclidean spaces) The concept of constant width in analysis (using Fourier series, spherical integration, and other related methods) Sets of constant width in differential geometry (using systems of lines and discussing notions like curvature, evolutes, etc.) Bodies of constant width in topology (hyperspaces, transnormal manifolds, fiber bundles, and related topics) The notion of constant width in discrete geometry (referring to geometric inequalities, packings and coverings, etc.) Technical applications, such as film projectors, the square-hole drill, and rotary engines Bodies of Constant Width: An Introduction to Convex Geometry with Applications will be a valuable resource for graduate and advanced undergraduate students studying convex geometry and related fields. Additionally, it will appeal to any mathematicians with a general interest in geometry.
The purpose of this paper is to study the following problem: When is there a locally flat embedding g: N[superscript]n [right arrow] M[superscript]m such that pg is [lowercase Greek]Alpha-close to h? This problem is intimately related to the problem of approximating topological embeddings with locally flat embeddings.
Rebelling against bourgeois vacuity and taking their countercultural critique on the road, the Beat writers and artists have long symbolized a spirit of freedom and radical democracy. Manuel Martinez offers an eye-opening challenge to this characterization of the Beats, juxtaposing them against Chicano nationalists like Raul Salinas, Jose Montoya, Luis Valdez, and Oscar Acosta and Mexican migrant writers in the United States, like Tomas Rivera and Ernesto Galarza. In an innovative rereading of American radical politics and culture of the 1950s and 1960s, Martinez uncovers reactionary, neoromantic, and sometimes racist strains in the Beats’ vision of freedom, and he brings to the fore the complex stances of Latinos on participant democracy and progressive culture. He analyzes the ways that Beats, Chicanos, and migrant writers conceived of and articulated social and political perspectives. He contends that both the Beats’ extreme individualism and the Chicano nationalists’ narrow vision of citizenship are betrayals of the democratic ideal, but that the migrant writers presented a distinctly radical and inclusive vision of democracy that was truly countercultural.
Luis D. León's compelling, innovative exploration of religion in the U.S.-Mexican borderlands issues a fundamental challenge to current scholarship in the field and recharts the landscape of Chicano faith. La Llorona's Children constructs genealogies of the major traditions spanning Mexico City, East Los Angeles, and the southwestern United States: Guadalupe devotion, curanderismo, espiritualismo, and evangelical/ Pentecostal traditions. León theorizes a religious poetics that functions as an effective and subversive survival tactic akin to crossing the U.S.-Mexican border. He claims that, when examined in terms of broad categorical religious forms and intentions, these traditions are remarkably alike and resonate religious ideas and practices developed in the ancient Mesoamerican world. León proposes what he calls a borderlands reading of La Virgen de Guadalupe as a transgressive, border-crossing goddess in her own right, a mestiza deity who displaces Jesus and God for believers on both sides of the border. His energetic discussion of curanderismo shows how this indigenous religious practice links cognition and sensation in a fresh and powerful technology of the body—one where sensual, erotic, and sexualized ways of knowing emphasize personal and communal healing. La Llorona’s Children ends with a fascinating study of the rich and complex world of Chicano/a Pentecostalism in Los Angeles, a tradition that León maintains allows Chicano men to reimagine their bodies into a unified social body through ritual performance. Throughout the narrative, the connections among sacred spaces, saints, healers, writers, ideas, and movements are woven with skill, inspiration, and insight.
Making Los Angeles Home examines the different integration strategies implemented by Mexican immigrants in the Los Angeles region. Relying on statistical data and ethnographic information, the authors analyze four different dimensions of the immigrant integration process (economic, social, cultural, and political) and show that there is no single path for its achievement, but instead an array of strategies that yield different results. However, their analysis also shows that immigrants' successful integration essentially depends upon their legal status and long residence in the region. The book shows that, despite this finding, immigrants nevertheless decide to settle in Los Angeles, the place where they have made their homes.
A soldier at the age of eleven; an honorably discharged veteran at age of thirteen; a miner, a cotton-picker, a shepherd, and a graduate of Hollywood High, Luis Perez lived an incredible life, which has shaped his story into a vividly-realized autobiographical account. Originally published in 1947, El Coyote , the Rebel tells how the toddler Luis, son of an Aztec mother and a French diplomat father, ended up in the care of an uncle, who soon drank away most of the boys inheritance. Having run away from cruel treatment, Luis by chance came to fight with the rebel armies in the 1910 Mexican Revolution, received the nickname of "El Coyote" for his cunning, and was wounded in combat. Upon being given a discharge and a twenty-dollar bill, he walked across the border to become an American. His story concludes, after an episode of amorous misadventures in a missionary school, with the young hero preparing to marry his true love and solemnly taking the oath of U.S. citizenship, at "the beginning of a new tomorrow.
Flamboyant zoot suit culture, with its ties to fashion, jazz and swing music, jitterbug and Lindy Hop dancing, unique patterns of speech, and even risqu� experimentation with gender and sexuality, captivated the country's youth in the 1940s. The Power of the Zoot is the first book to give national consideration to this famous phenomenon. Providing a new history of youth culture based on rare, in-depth interviews with former zoot-suiters, Luis Alvarez explores race, region, and the politics of culture in urban America during World War II. He argues that Mexican American and African American youths, along with many nisei and white youths, used popular culture to oppose accepted modes of youthful behavior, the dominance of white middle-class norms, and expectations from within their own communities.
In Waves of Decolonization, David Luis-Brown reveals how between the 1880s and the 1930s, writer-activists in Cuba, Mexico, and the United States developed narratives and theories of decolonization, of full freedom and equality in the shadow of empire. They did so decades before the decolonization of Africa and Asia in the mid-twentieth century. Analyzing the work of nationalist leaders, novelists, and social scientists, including W. E. B. Du Bois, José Martí, Claude McKay, Luis-Brown brings together an array of thinkers who linked local struggles against racial oppression and imperialism to similar struggles in other nations. With discourses and practices of hemispheric citizenship, writers in the Americas broadened conventional conceptions of rights to redress their loss under the expanding United States empire. In focusing on the transnational production of the national in the wake of U.S. imperialism, Luis-Brown emphasizes the need for expanding the linguistic and national boundaries of U.S. American culture and history. Luis-Brown traces unfolding narratives of decolonization across a broad range of texts. He explores how Martí and Du Bois, known as the founders of Cuban and black nationalisms, came to develop anticolonial discourses that cut across racial and national divides. He illuminates how cross-fertilizations among the Harlem Renaissance, Mexican indigenismo, and Cuban negrismo in the 1920s contributed to broader efforts to keep pace with transformations unleashed by ongoing conflicts over imperialism, and he considers how those transformations were explored in novels by McKay of Jamaica, Jesús Masdeu of Cuba, and Miguel Ángel Menéndez of Mexico. Focusing on ethnography’s uneven contributions to decolonization, he investigates how Manuel Gamio, a Mexican anthropologist, and Zora Neale Hurston each adapted metropolitan social science for use by writers from the racialized periphery.
Central to contemporary debates in the United States on migration and migrant policy is the idea of citizenship, and—as apparent in the continued debate over Arizona’s immigration law SB 1070—this issue remains a focal point of contention, with a key concern being whether there should be a path to citizenship for “undocumented” migrants. In Disenchanting Citizenship, Luis F. B. Plascencia examines two interrelated issues: U.S. citizenship and the Mexican migrants’ position in the United States. The book explores the meaning of U.S. citizenship through the experience of a unique group of Mexican migrants who were granted Temporary Status under the “legalization” provisions of the 1986 IRCA, attained Lawful Permanent Residency, and later became U.S. citizens. Plascencia integrates an extensive and multifaceted collection of interviews, ethnographic fieldwork, ethno-historical research, and public policy analysis in examining efforts that promote the acquisition of citizenship, the teaching of citizenship classes, and naturalization ceremonies. Ultimately, he unearths citizenship’s root as a Janus-faced construct that encompasses a simultaneous process of inclusion and exclusion. This notion of citizenship is mapped on to the migrant experience, arguing that the acquisition of citizenship can lead to disenchantment with the very status desired. In the end, Plascencia expands our understanding of the dynamics of U.S. citizenship as a form of membership and belonging.
Since his first publication in 1942, Luis Leal has likely done more than any other writer or scholar to foster a critical appreciation of Mexican, Chicano, and Latin American literature and culture. This volume, bringing together a representative selection of Leal’s writings from the past sixty years, is at once a wide-ranging introduction to the most influential scholar of Latino literature and a critical history of the field as it emerged and developed through the twentieth century. Instrumental in establishing Mexican literary studies in the United States, Leal’s writings on the topic are especially instructive, ranging from essays on the significance of symbolism, culture, and history in early Chicano literature to studies of the more recent use of magical realism and of individual New Mexican, Tejano, and Mexican authors such as Juan Rulfo, Carlos Fuentes, José Montoya, and Mariano Azuela. Clearly and cogently written, these writings bring to bear an encyclopedic knowledge, a deep understanding of history and politics, and an unparalleled command of the aesthetics of storytelling, from folklore to theory. This collection affords readers the opportunity to consider—or reconsider—Latino literature under the deft guidance of its greatest reader.
Between Norteño and Tejano Conjunto analyzes the origin, evolution, and dissemination of the norteño and tejano conjunto. This group represents a marginalized local identity that was transformed primarily into an identity of the northeast. It then gave way to the whole of northern México and the American Southwest, and was later assimilated internationally as a mainstream genre. This book provides a long-term historic vision of conjunto and the various musical forms it uses, such as polka, corrido, or canción (song), and, more recently, bolero and cumbia, as well as its transformations and contributions to other musical cultures.
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