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In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Rotation matrix. In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix. rotates points in the xy plane counterclockwise through an angle θ about the origin of a two-dimensional Cartesian coordinate system.
0 ( zero) is a number representing an empty quantity. Adding 0 to any number leaves that number unchanged. In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures.
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Zone 5 uses eight 2-digit codes (51–58) and two sets of 3-digit codes (50x, 59x) to serve South and Central America. Zone 6 uses seven 2-digit codes (60–66) and three sets of 3-digit codes (67x–69x) to serve Southeast Asia and Oceania. Zone 7 uses an integrated numbering plan; two digits (7x) determine the area served: Russia or Kazakhstan.
Nicholas II (Nikolai Alexandrovich Romanov; [d] 18 May [ O.S. 6 May] 1868 – 17 July 1918) or Nikolai II was the last reigning Emperor of Russia, King of Congress Poland, and Grand Duke of Finland from 1 November 1894 until his abdication on 15 March 1917. During his reign, Nicholas gave support to the economic and political reforms promoted ...
v. t. e. Game theory is the study of mathematical models of strategic interactions among rational agents. [1] It has applications in many fields of social science, used extensively in economics as well as in logic, systems science and computer science. [2] Initially game theory addressed two-person zero-sum games, in which a participant's gains ...