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Arthas Menethil is a fictional character who appears in the Warcraft series of video games and novels 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.
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 ]
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).
Recording optical rotation with a polarimeter: The plane of polarisation of plane polarised light (4) rotates (6) as it passes through an optically active sample (5). This angle is determined with a rotatable polarizing filter (7). In chemistry, specific rotation ([α]) is a property of a chiral chemical compound.
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 ...
[5,3] 5 3 2/m, 5 3 m order 120: full icosahedral symmetry: This is the symmetry group of the icosahedron and the dodecahedron. The group I h is isomorphic to A 5 × Z 2 because I and C i are both normal subgroups. The group contains 10 versions of D 3d, 6 versions of D 5d (symmetries like antiprisms), and 5 versions of T h.
A spatial rotation is a linear map in one-to-one correspondence with a 3 × 3 rotation matrix R that transforms a coordinate vector x into X, that is Rx = X. Therefore, another version of Euler's theorem is that for every rotation R , there is a nonzero vector n for which Rn = n ; this is exactly the claim that n is an eigenvector of R ...
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 ...