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World of Warcraft: Cataclysm is the third expansion set for the massively multiplayer online role-playing game (MMORPG) World of Warcraft, following Wrath of the Lich King. It was officially announced at BlizzCon on August 21, 2009, although dataminers and researchers discovered details before it was announced by Blizzard. [ 2 ]
Arthas Menethil is a fictional character who appears in the Warcraft series of video games by Blizzard Entertainment.He was once a paladin of the Silver Hand and the crown prince of Lordaeron, but he was corrupted by the cursed blade Frostmourne in a bid to save his people.
An infinitesimal rotation matrix or differential rotation matrix is a matrix representing an infinitely small rotation.. While a rotation matrix is an orthogonal matrix = representing an element of () (the special orthogonal group), the differential of a rotation is a skew-symmetric matrix = in the tangent space (the special orthogonal Lie algebra), which is not itself a rotation matrix.
This category deals with topics in physics related to the three-dimensional spherical symmetries of physical objects, including topics concerning rotations in classical mechanics, as well as spin and angular momentum in quantum mechanics, and the representations of the Lie groups SU(2) and SO(3).
This is Rodrigues' formula for the axis of a composite rotation defined in terms of the axes of the two component rotations. He derived this formula in 1840 (see page 408). [3] The three rotation axes A, B, and C form a spherical triangle and the dihedral angles between the planes formed by the sides of this triangle are defined by the rotation ...
The rotation group SO(3) can be described as a subgroup of E + (3), the Euclidean group of direct isometries of Euclidean . This larger group is the group of all motions of a rigid body : each of these is a combination of a rotation about an arbitrary axis and a translation, or put differently, a combination of an element of SO(3) and an ...
x″-y″-z″ or x 2-y 2-z 2 (after second rotation) X-Y-Z or x 3-y 3-z 3 (final) For the above-listed sequence of rotations, the line of nodes N can be simply defined as the orientation of X after the first elemental rotation. Hence, N can be simply denoted x′. Moreover, since the third elemental rotation occurs about Z, it does not change ...
The 2.5-litre 6G73 is a 24-valve SOHC design with two valves running off a single cam lobe on the exhaust valves using a forked rocker arm and each intake valve actuated with two cam lobes, with a smaller bore than the 3.0L version of the same block. Bore and stroke are 83.5 mm × 76 mm (3.29 in × 2.99 in); it is a 60-degree V6 and weighs ...