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This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the construction of the moduli space of semistable holomorphic vector bundles, and to Hitchin’s theory on Higgs bundles. The relationship between the notion of stability between algebraic, differential and symplectic geometry settings is also covered. Unstable objects in moduli problems -- a result of the construction of moduli spaces -- get specific attention in this work. The notion of the Harder-Narasimhan filtration as a tool to ha...
The book aims to advance global knowledge and practice in applying data science to transform higher education learning and teaching to improve personalization, access and effectiveness of education for all. Currently, higher education institutions and involved stakeholders can derive multiple benefits from educational data mining and learning analytics by using different data analytics strategies to produce summative, real-time, and predictive or prescriptive insights and recommendations. Educational data mining refers to the process of extracting useful information out of a large collection of complex educational datasets while learning analytics emphasizes insights and responses to real-ti...
Historically, social researchers have shown a willingness to exploit new technologies to enhance, facilitate and support their various activities. However, arguably no other technological development has influenced the landscape of social research as rapidly and fundamentally as the Internet. This collection avoids both uncritical embrace and wholesale dismissal by considering some of the key literature in the field of Internet research methods. Volume One: Core Issues, Debates and Controversies in Internet Research introduces themes and issues that run across all four volumes such as: epistemology, ontology and methodology in the online world; access, social divisions and the ′digital div...
Technical problems require technical solutions that are innovative, simple, cheap, robust and easy to maintain. This book lists 100 winning inventions in the first International Inventors Award competition, organized in Stockholm.
Desde 1994, la Direccion de la Escuela de Medicina ha venido desarrollando una serie de actividades tendientes al rescate historico de la practica y ensenanza medicas de Costa Rica. Este libro de la Dra. Yalena de la Cruz es parte de ese esfuerzo, y resena los antecedentes y creacion de la Universidad de Costa Rica; el desarrollo de la profesion medica antes del establecimiento de la Escuela de Medicina; los antecedentes para estabalecer la Escuela de Medicina y su creacion; el inicio de la Escuela de Medicina; la construccion de su edificio; los recursos humanos; su organizacion y planes de Estudio; los graduados, y la situacion actual de la Escuela que ha formado ya mas de 2000 medicos.