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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]
Article IV, Section 3, Clause 1 of the Constitution grants to Congress the authority to admit new states into the Union. Since the establishment of the United States in 1776, the number of states has expanded from the original 13 to 50. Each new state has been admitted on an equal footing with the existing states. [5]
Binary data is data whose unit can take on only two possible states. These are often labelled as 0 and 1 in accordance with the binary numeral system and Boolean algebra . Binary data occurs in many different technical and scientific fields, where it can be called by different names including bit (binary digit) in computer science , truth value ...
The binary method can also be applied to dot density maps, in which the predefined districts (the same source data as a choropleth map) are filled with a number of dots proportional to the total amount of the variable. Because the dots are usually randomly placed, they can give an impression of internal homogeneity almost as strong as the ...
A state, unlike the federal government, has un-enumerated police power, that is, the right to generally make all necessary laws for the welfare of its people. [18] As a result, while the governments of the various states share many similar features, they often vary greatly with regard to form and substance. No two state governments are identical.
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.
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]
The United States shares land borders with Canada and Mexico and maritime borders with Russia, Cuba, The Bahamas, and many other countries, mainly in the Caribbean [note 2] in addition to Canada and Mexico. The northern border of the United States with Canada is the world's longest bi-national land border.