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Mannheim (German pronunciation: [ˈmanhaɪm] (listen); Palatine German: Mannem or Monnem) is a Universitätsstadt (university town) in the southwestern part of Germany and the third-largest in the German state of Baden-Württemberg after Stuttgart and Karlsruhe with a 2019 population of approximately 310,700 inhabitants. The city is at the centre of the Rhine-Neckar Metropolitan Region and is Germany's eighth-largest metropolitan region.
Mannheim is located at the confluence of the Rhine and the Neckar in the northwestern corner of Baden-Württemberg. The Rhine separates Mannheim from the city of Ludwigshafen, just to the west of it in Rhineland-Palatinate, and the border of Baden-Württemberg with Hesse is just to the north. Mannheim is downstream along the Neckar from the city of Heidelberg.
Mannheim is unusual among German cities in that its streets and avenues are laid out in a grid pattern, leading to its nickname "die Quadratestadt" (the Square City). The eighteenth century Mannheim Palace, former home of the Prince-elector of the Palatinate, now houses the University of Mannheim.
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Manhattan (), often referred to by residents of the New York City area as the City, is the most densely populated of the five boroughs of New York City, and coextensive with the County of New York, one of the original counties of the U.S. state of New York. Manhattan serves as the city's economic and administrative center, cultural identifier, and historical birthplace. The borough consists mostly of Manhattan Island, bounded by the Hudson, East, and Harlem rivers; as well as several small adjacent islands. Manhattan additionally contains Marble Hill, a small neighborhood now on the U.S. mainland, separated from the rest of Manhattan by the Harlem Ship Canal and later connected using landfill to the Bronx. Manhattan Island is divided into three informally bounded components, each aligned with the borough's long axis: Lower, Midtown, and Upper Manhattan.
Manhattan has been described as the cultural, financial, media, and entertainment capital of the world, and the borough hosts the United Nations Headquarters. Anchored by Wall Street in the Financial District of Lower Manhattan, New York City has been called both the most economically powerful city and the leading financial center of the world, and Manhattan is home to the world's two largest stock exchanges by total market capitalization: the New York Stock Exchange and NASDAQ. Many multinational media conglomerates are based in Manhattan, and the borough has been the setting for numerous books, films, and television shows. Manhattan real estate has since become among the most expensive in the world, with the value of Manhattan Island, including real estate, estimated to exceed US$3 trillion in 2013; median residential property sale prices in Manhattan approximated US$1,600 per square foot ($17,000/m2) as of 2018, with Fifth Avenue in Midtown Manhattan commanding the highest retail rents in the world, at US$3,000 per square foot ($32,000/m2) per year in 2017.Manhattan traces its origins to a trading post founded by colonists from the Dutch Republic in 1624 on Lower Manhattan; the post was named New Amsterdam in 1626. Manhattan is historically documented to have been purchased by Dutch colonists from Native Americans in 1626 for 60 guilders, which equals roughly $1059 in current terms. The territory and its surroundings came under English control in 1664 and were renamed New York after King Charles II of England granted the lands to his brother, the Duke of York.