New Jersey is a state situated within both the Mid-Atlantic and Northeastern regions of the United States. It is the most densely populated of all 50 U.S. states, and is situated at the center of the Northeast megalopolis. New Jersey is bordered on its north and east by New York state; on its east, southeast, and south by the Atlantic Ocean; on its west by the Delaware River and Pennsylvania; and on its southwest by Delaware Bay and Delaware. At , New Jersey is the fifth-smallest state in land area, but with close to 9.3 million residents as of the 2020 United States census, its highest decennial count ever, it ranks 11th in population. The state capital is Trenton, and the state's most populous city is Newark. New Jersey is the only U.S. state in which every county is deemed urban by the U.S. Census Bureau with 13 counties included in the New York metropolitan area, seven counties in the Philadelphia metropolitan area, and Warren County part of the heavily industrialized Lehigh Valley metropolitan area.
New Jersey was first inhabited by Paleo-Indians as early as 13,000 B.C.E., with the Lenape being the dominant indigenous group when Europeans arrived in the early 17th century. Dutch and Swedish colonists founded the first European settlements in the state, with the British later seizing control of the region and establishing the Province of New Jersey, named after the largest of the Channel Islands. The colony's fertile lands and relative religious tolerance drew a large and diverse population. New Jersey was among the Thirteen Colonies that supported the American Revolution, hosting several pivotal battles and military commands in the American Revolutionary War. On December 18, 1787, New Jersey became the third state to ratify the United States Constitution, which granted it admitted to the Union, and it was the first state to ratify the U.S. Bill of Rights on November 20, 1789.
New Jersey remained in the Union during the American Civil War and provided troops, resources, and military leaders in support of the Union Army.
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New York, often called New York City or NYC, is the most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is the most densely populated major city in the United States. The city is more than twice as populous as Los Angeles, the nation's second-largest city. New York City is situated at the southern tip of New York State. Situated on one of the world's largest natural harbors, New York City comprises five boroughs, each of which is coextensive with a respective county.
New York, often called New York State, is a state in the Northeastern United States. A Mid-Atlantic state, New York borders New England, and has an international border with Canada. With almost 19.7 million residents, it is the fourth-most populous state in the United States and seventh-most densely populated as of 2022. New York is the 27th-largest U.S. state by area, with a total area of . New York has a varied geography.
Craps is a dice game in which players bet on the outcomes of the roll of a pair of dice. Players can wager money against each other (playing "street craps") or against a bank ("casino craps"). Because it requires little equipment, "street craps" can be played in informal settings. While shooting craps, players may use slang terminology to place bets and actions. In 1788, "Krabs" (later spelled crabs) was an English variation on the dice game hazard (also spelled hasard).
Explores Tafuri's critical writings on architecture, the skyscraper emergence, and New York's spatial planning, focusing on Rockefeller Center's transition from idealized vision to urban reality.
Discusses variance reduction techniques in stochastic simulation, focusing on allocation strategies and replica generation algorithms.
Covers modern algebraic geometry, focusing on schemes and affine schemes, including a review of classical algebraic geometry and Bézout's theorem.
The Smith chart was primarily developed, extended, and refined by Phillip Hagar Smith [1] in a series of works published [2]-[4] between 1939 and 1969. Smith was born in Lexington, Massachusetts, in 1905. He majored in electrical communications at Tufts Un ...