Barcelona (ˌbɑːrsəˈloʊnə , bəɾsəˈlonə, baɾθeˈlona) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second most populous municipality of Spain. With a population of 1.6 million within city limits, its urban area extends to numerous neighbouring municipalities within the province of Barcelona and is home to around 4.8 million people, making it the fifth most populous urban area in the European Union after Paris, the Ruhr area, Madrid and Milan. It is one of the largest metropolises on the Mediterranean Sea, located on the coast between the mouths of the rivers Llobregat and Besòs, bounded to the west by the Serra de Collserola mountain range.
Founded as a Roman city, in the Middle Ages Barcelona became the capital of the County of Barcelona. After joining with the Kingdom of Aragon to form the confederation of the Crown of Aragon, Barcelona, which continued to be the capital of the Principality of Catalonia, became the most important city in the Crown of Aragon and the main economic and administrative centre of the Crown, only to be overtaken by Valencia, wrested from Moorish control by the Catalans, shortly before the dynastic union between the Crown of Castile and the Crown of Aragon in 1492. Barcelona became the centre of Catalan separatism, briefly becoming part of France during the 17th century Reapers' War. It was the capital of Revolutionary Catalonia during the Spanish Revolution of 1936, and the seat of government of the Second Spanish Republic later in the Spanish Civil War, until its capture by the fascists in 1939. After the Spanish transition to democracy in the 1970s, Barcelona once again became the capital of an autonomous Catalonia.
Barcelona has a rich cultural heritage and is today an important cultural centre and a major tourist destination. Particularly renowned are the architectural works of Antoni Gaudí and Lluís Domènech i Montaner, which have been designated UNESCO World Heritage Sites.
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Machine learning and data analysis are becoming increasingly central in many sciences and applications. This course concentrates on the theoretical underpinnings of machine learning.
Quantum mechanics is one of the most successful physical theories. This course presents the mathematical formalism (functional analysis and spectral theory) that underlies quantum mechanics. It is sim
Spain (España, esˈpaɲa), or the Kingdom of Spain (Reino de España), is a country located in Southwestern Europe, with parts of its territory in the Atlantic Ocean and across the Mediterranean Sea. The largest part of Spain is situated on the Iberian Peninsula; its territory also includes the Canary Islands in the Atlantic Ocean, the Balearic Islands in the Mediterranean Sea, and the autonomous cities of Ceuta and Melilla in Africa.
Park Güell (Parc Güell ˈpaɾɡ ˈɡweʎ; Parque Güell) is a privatized park system composed of gardens and architectural elements located on Carmel Hill, in Barcelona, Catalonia, Spain. Carmel Hill belongs to the mountain range of Collserola – the Parc del Carmel is located on the northern face. Park Güell is located in La Salut, a neighborhood in the Gràcia district of Barcelona. With urbanization in mind, Eusebi Güell assigned the design of the park to Antoni Gaudí, a renowned architect and the face of Catalan modernism.
Paris (ˈpærɪs; paʁi) is the capital and most populous city of France, with an official estimated population of 2,102,650 residents as of 1 January 2023 in an area of more than , making it the fourth-most populated city in the European Union as well as the 30th most densely populated city in the world in 2022. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, culture, fashion, gastronomy and many areas.
Covers the Fourier transform on Schwartz space and its properties, including continuity and linearity, as well as the density of smooth compactly supported functions.
C’est sous le régime franquiste que la ville de Barcelone a commencé à subir une densification qui n’a eu de cesse d’étouffer la « ville verte » initiée par Ildefonso Cerdá, et ce jusqu’à reléguer la végétation à un simple décor urbain. Aujourd’hui, la pre ...
2021
Depuis 1860, Paris a toujours été appréhendée dans les mêmes limites définies par son boulevard périphérique ; c'est une capitale coincée, saturée, renfermée sur elle-même. Aujourd'hui, il faut rompre avec cette vision binaire (centre / banlieue) et Paris ...
Terraces, as outdoor extensions of food and beverage businesses located in the public realm, have very high potential to activate the streetscape, bring people together and improving urban experiences. Among the consequences of the current COVID-19 pandemi ...