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The (2,3,7) hyperbolic triangle group is a subgroup of the group of norm 1 elements in the quaternion algebra generated as an associative algebra by the pair of generators i, j and relations i2 = j2 = η, ij = − ji. One chooses a suitable Hurwitz quaternion order in the quaternion algebra. Here the order is generated by elements.
Special unitary group. In mathematics, the special unitary group of degree n, denoted SU (n), is the Lie group of n × n unitary matrices with determinant 1. The matrices of the more general unitary group may have complex determinants with absolute value 1, rather than real 1 in the special case. The group operation is matrix multiplication.
A PDF page description can use a matrix to scale, rotate, or skew graphical elements. A key concept in PDF is that of the graphics state, which is a collection of graphical parameters that may be changed, saved, and restored by a page description. PDF has (as of version 2.0) 25 graphics state properties, of which some of the most important are:
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 ...
Jarmila Gajdosova. Add languages. Add links. Article; Talk; ... Download as PDF; Printable version; ... This page was last edited on 3 January 2016, ...
SU (2) is the universal covering group of SO (3), and so its representation theory includes that of the latter, by dint of a surjective homomorphism to it. This underlies the significance of SU (2) for the description of non-relativistic spin in theoretical physics; see below for other physical and historical context.
Use WebMD’s Pill Identifier to find and identify any over-the-counter or prescription drug, pill, or medication by color, shape, or imprint and easily compare pictures of multiple drugs.
Georg von Wilamowitz-Moellendorff. German submarine U-2 was a Type IIA U-boat of Nazi Germany 's Kriegsmarine. Her keel was laid down 11 February 1935 by Deutsche Werke of Kiel as yard number 237; she was launched on 1 July and commissioned on 25 July 1935 with Oberleutnant zur See ( Oblt.z.S.) Hermann Michahelles in command.