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In the theory of Lie groups, the exponential map is a map from the Lie algebra of a Lie group to the group, which allows one to recapture the local group structure from the Lie algebra. The existence of the exponential map is one of the primary reasons that Lie algebras are a useful tool for studying Lie groups.
Surveying: surveyors use absolute locations to make maps and determine property boundaries. Tectonics: GPS enables direct fault motion measurement of earthquakes. Between earthquakes GPS can be used to measure crustal motion and deformation [130] to estimate seismic strain buildup for creating seismic hazard maps.
A map of the United States showing its 50 states, federal district and five inhabited territories.Alaska, Hawaii, and the territories are shown at different scales, and the Aleutian Islands and the uninhabited northwestern Hawaiian Islands are omitted from the map.
Uzbekistan, [a] officially the Republic of Uzbekistan, [b] is a doubly landlocked country located in Central Asia.It is surrounded by five countries: Kazakhstan to the north, Kyrgyzstan to the northeast, Tajikistan to the southeast, Afghanistan to the south, and Turkmenistan to the southwest, making it one of only two doubly landlocked countries on Earth, the other being Liechtenstein.
The 2020 United States presidential election was the 59th quadrennial presidential election, held on Tuesday, November 3, 2020. [a] The Democratic ticket of former vice president Joe Biden and the junior U.S. senator from California Kamala Harris defeated the incumbent Republican president, Donald Trump, and vice president, Mike Pence. [9]
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