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The Thompson group F is generated by operations like this on binary trees. Here L and T are nodes, but A B and R can be replaced by more general trees.. The group F also has realizations in terms of operations on ordered rooted binary trees, and as a subgroup of the piecewise linear homeomorphisms of the unit interval that preserve orientation and whose non-differentiable points are dyadic ...
The United States of America is a federal republic [1] consisting of 50 states, a federal district (Washington, D.C., the capital city of the United States), five major territories, and various minor islands. [2] [3] Both the states and the United States as a whole are each sovereign jurisdictions. [4]
Image:Blank US Map with borders.svg, a blank states maps with borders. Image:BlankMap-USA.png, a map with no borders and states separated by transparency. Image:US map - geographic.png, a geographical map. On Wikimedia Commons, a free online media resource: commons:Category:Maps of the United States, the category for all maps with subcategories.
Information about All States from UCB Libraries GovPubs; State Resource Guides, from the Library of Congress; Tables with areas, populations, densities and more (in order of population) Tables with areas, populations, densities and more (alphabetical) State and Territorial Governments on USA.gov; StateMaster – statistical database for U.S. states
The following table is a list of all 50 states and their respective dates of statehood. The first 13 became states in July 1776 upon agreeing to the United States Declaration of Independence, and each joined the first Union of states between 1777 and 1781, upon ratifying the Articles of Confederation, its first constitution. [6]
Original territory of the Thirteen States (western lands, roughly between the Mississippi River and Appalachian Mountains, were claimed but not administered by the states and were all ceded to the federal government or new states by 1802) 1783: 892,135: 2,310,619----- Annexation of the Vermont Republic: 1791: 9,616: 24,905----- Louisiana ...
no change to map: May 4, 1904 The United States took ownership of the Panama Canal Zone. At this stage, only the most basic borders were defined; it was a zone surrounding the canal on each side for five miles, but excluded the cities of Colón and Panama City, which remained exclaves of Panama, as well as the water for their harbors. [338]
This is a list of all tripoints in which the boundaries of three (and only three) U.S. states converge at a single geographic point. Of the 60 such points, 36 are on dry land and 24 are in water. [ 1 ]