Computing the canonical representation of constructible sets

Constructible sets are needed in many algorithms of Computer Algebra, particularly in the GröbnerCover and other algorithms for parametric polynomial systems. In this paper we review the canonical form ofconstructible sets and give algorithms for computing it.Peer ReviewedPostprint (author's final draft

Ultrafiltration Fibers like Bioreactors

A polysulfone ultrafiltration membrane with pectinase physically immobilized on it by a dynamic formation method was used to examine the potential of these reactive membranes in applications involving solutions containing pectin. The effect of various operational parameters such as: pH of enzyme and pectin solutions, NaCl, retentate flow rate, and enzyme (Ce) and substrate (Cp) concentrations on the production of reducing compounds expressed as galacturonic acid (Ca), was investigated. It was found that the maximum Ca values were obtained when: (i) enzyme solution to immobilize, without NaCl, had pH values between 4.2 and 4.6 and enzyme concentration from 5.0 to 7.5 mg/mL; (ii) pectin solution had initial pH values between 4.2 and 5.0 and a concentration of 3 mg/mL; and (iii) retentate flow rate was 0.025 L/minFil: Carrin, Maria Elena. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaFil: Ceci, Liliana Noemí. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; ArgentinaFil: Lozano, Jorge Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentin

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Relax, descend and certify : optimization techniques for typically tractable data problems

In this thesis we explore different mathematical techniques for extracting information from data. In particular we focus in machine learning problems such as clustering and data cloud alignment. Both problems are intractable in the "worst case", but we show that convex relaxations can efficiently find the exact or almost exact solution for classes of "typical" instances. We study different roles that optimization techniques can play in understanding and processing data. These include efficient algorithms with mathematical guarantees, a posteriori methods for quality evaluation of solutions, and algorithmic relaxation of mathematical models. We develop probabilistic and data-driven techniques to model data and evaluate performance of algorithms for data problems.Mathematic

Translanguaging and Identity in a Kindergarten Classroom: Validating Student\u27s Home Culture and Language in an English-Only Era

This ethnographic multi-year study examines the effects of federal and state education policies in language-minority school children’s in Western Massachusetts. Specifically, it explores, how, in an increasingly English Only era, a Latina kindergarten teacher resists Massachusetts\u27 restrictive bilingual education law at the same time that she builds on her students’ multi-ethnic identity. Methodologically, this study combines ethnographic and discourse analysis methods and techniques analyzing the curricular effects that the NCLB and the state of Massachusetts language policy have on an underperforming school serving a predominantly Latino/a population. The focus of the study is the literacy practices enacted by a Dominican kindergarten teacher, and her students during the language arts block throughout the year. The data analysis indicates that, despite Mrs. Dominguez’s obligation to comply with the national and state mandated curriculum and regulations, she challenges and questions such policies. By making culturally relevant and pedagogically grounded curricular changes, she was able to provide her students with their home language support (i.e. Spanish) and culturally relevant content that benefited her students’ English literacy development and thus, their own cultural identity formation. These changes were informed by her ongoing professional development provided through a master’s program, as well as her genuine interest in caring for her students’ cultural and linguistic background. Regardless of the state’s language policy restricting the student’s home language use in the classroom, Mrs. Dominguez made use of Spanish, both, to mediate her teaching practices and student’s second language development process, as well as to validate her student’s home language and culture. This study unveils the lived complexities in one kindergarten classroom and how their participants contributed to each other’s identity formation. By emphasizing the importance of mediating their second language acquisition development, the participants in this classroom make use of their translanguaging ability (García & Wei, 2014), which requires high social and mental cognitive abilities in order to communicate effectively. The findings of this study are intended to inform K-12 teachers, administrators, and policy makers about other possible teaching practices that comply with national and state policies, but are grounded in cultural diversity and equality

La Universidad como espacio y práctica de aprendizaje

La universidad española es un espacio privilegiado para los mestizajes teórico-prácticos tan necesarios en las llamadas sociedades del conocimiento. Sin embargo, los procesos de adaptación al Espacio Europeo de Educación Superior la alejan de las dinámicas críticas para instalarla en la reproducción de un saber rentable. La esclerosis del pensamiento universitario libre, creativo y utópico está marcado por el triunfo de la racionalidad instrumental al servicio del Mercado. Reivindicar la universidad como espacio y práctica de aprendizaje real exige hacer frente a las servidumbres voluntarias que sostienen un sistema cultural desigual, jerárquico y excluyente