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Displacement (vector)
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion.[1] It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory. A displacement may be identified with the translation that maps the initial position to the final position. A displacement may be also described as a relative position (resulting from the motion), that is, as the final position xf of a point relatively to its initial position xi
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Midwestern United States

The Midwestern United States, often referred to simply as the Midwest, is one of four census regions of the United States Census Bureau (also known as "Region 2").[2] It occupies the northern central part of the United States.[3] It was officially named the North Central Region by the Census Bureau until 1984.[4] It is located between the Northeastern United States and the Western United States, with Canada to its north and the Southern United States to its south. The Census Bureau's definition consists of 12 states in the north central United States: Illinois, Indiana, Iowa, Kansas, Michigan, Minnesota, Missouri, Nebraska, North Dakota, Ohio, South Dakota, and Wisconsin. The region generally lies on the broad Interior Plain between the states occupying the Appalachian Mountain range and the states occupying the Rocky Mountain range
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Ontario

Ontario is one of the thirteen provinces and territories of Canada.[8][9] Located in Central Canada, it is Canada's most populous province, with 38.3 percent of the country's population, and is the second-largest province by total area (after Quebec).[10][11] Ontario is the fourth-largest jurisdiction in total area when the territories of the Northwest Territories and Nunavut are included.[2] It is home to the nation's capital city, Ottawa, and the nation's most populous city, Toronto,[12] which is also Ontario's provincial capital. Ontario is bordered by the province of Manitoba to the west, Hudson Bay and James Bay to the north, and Quebec to the east and northeast, and to the south by the U.S. states of (from west to east) Minnesota, Michigan, Ohio, Pennsylvania, and New York
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Quebec

Quebec is also a major player in several leading-edge industries including aerospace, information technologies and software and multimedia. Approximately 60% of the production of the Canadian aerospace industry are from Quebec, where sales totalled C$12.4 billion in 2009.[160] Quebec is one of North America's leading high-tech player. This vast sector encompassing approximately 7,300 businesses and employ more than 145,000 people.[161] Pauline Marois has recently unveiled a two billion dollar budget for the period between 2013 to 2017 to create about 115,000 new jobs in knowledge and innovation sectors. The government promises to provide about 3% of Quebec's GDP in research and development (R&D).[162] About 180 000 Quebeckers work in different field of information technology.[163] Approximately 52% of Canadian companies in these sectors are based in Quebec, mainly in Montreal and Quebec City
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Alberta

Alberta (/ælˈbɜːrtə/) is one of the thirteen provinces and territories of Canada.[7] With an estimated population of 4,067,175 people as of the 2016 census,[1] it is Canada's fourth most populous province and the most populous of Canada's three prairie provinces. Alberta's area is approximately 660,000 square kilometres (250,000 sq mi).[8] Alberta is bordered by the provinces of British Columbia to the west and Saskatchewan to the east, the Northwest Territories to the north, and the U.S. state of Montana to the south. Alberta is one of three Canadian provinces and territories to border only a single U.S
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Maritime Provinces
The Maritimes, also called the Maritime provinces, is a region of Eastern Canada consisting of three provinces: New Brunswick, Nova Scotia, and Prince Edward Island (PEI). The Maritimes had a population of 1,813,606 in 2016.[1] Together with Canada's easternmost province, Newfoundland and Labrador, the Maritime provinces make up the region of the Atlantic provinces. Located along the Atlantic coast, various aquatic sub-basins are located in the Maritimes, such as the Gulf of Maine and Gulf of St. Lawrence. The region is located northeast of the United States's New England, south and southeast of Quebec's Gaspé Peninsula, and southwest of the island of Newfoundland. The notion of a Maritime Union has been proposed at various times in Canada's history; the first discussions in 1864 at the Charlottetown Conference contributed to Canadian Confederation. This movement formed the larger Dominion of Canada
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Alaska
Coordinates: 65°N 150°W / 65°N 150°W / 65; -150 Alaska (/əˈlæskə/ (listen); Aleut: Alax̂sxax̂; Inupiaq: Alaasikaq; Pacific Gulf Yupik: Alas'kaaq; Tlingit: Anáaski; Russian: Аля́ска, romanizedAlyáska) is a U.S. state on the northwest extremity of the country's West Coast, just across the Bering Strait from Asia. An exclave of the U.S., it borders the Canadian province of British Columbia and territory of Yukon to the east and southeast and has a maritime border with Russia's Chukotka Autonomous Okrug to the west
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Iceland
Coordinates: 65°N 18°W / 65°N 18°W / 65; -18 Iceland has no standing army, but the Icelandic Coast Guard which also maintains the Iceland Air Defence SystemIceland is a member of the European Economic Area (EEA), which allows the country access to the single market of the European Union (EU)
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Grímsvötn
Grímsvötn (Icelandic pronunciation: ​[ˈkrimsvœʰtn̥];[2] vötn = "waters", singular: vatn) is a volcano with a (partially subglacial) fissure system located in Vatnajökull National Park, Iceland. The volcano itself is completely subglacial and located under the northwestern side of the Vatnajökull ice cap. The subglacial caldera is at 64°25′N 17°20′W / 64.417°N 17.333°W / 64.417; -17.333, at an elevation of 1,725 m (5,659 ft). Beneath the caldera is the magma chamber of the Grímsvötn volcano. Grímsvötn is a basaltic volcano which has the highest eruption frequency of all the volcanoes in Iceland and has a southwest-northeast-trending fissure system. The massive climate-impacting Laki fissure eruption of 1783–1784 was a part of the same fissure system. Grímsvötn was erupting at the same time as Laki during 1783, but continued to erupt until 1785
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Ross Island
Ross Island is an island formed by four volcanoes in the Ross Sea near the continent of Antarctica, off the coast of Victoria Land in McMurdo Sound. Ross Island lies within the boundaries of Ross Dependency, an area of Antarctica claimed by New Zealand. Sir James Ross discovered it in 1840, and it was later named in honour of him by Robert F. Scott. Ross Island was the base for many of the early expeditions to Antarctica. It is the southernmost island reachable by sea
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