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Final Fantasy XIV: Heavensward [d] is the first expansion pack to Final Fantasy XIV: A Realm Reborn, a massively multiplayer online role-playing game (MMORPG) developed and published by Square Enix for macOS, PlayStation 3, PlayStation 4, and Windows, then later on PlayStation 5 and Xbox Series X/S.
In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .
Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...
Final Fantasy XIV: Shadowbringers [d] is the third expansion pack to Final Fantasy XIV, a massively multiplayer online role-playing game (MMORPG) developed and published by Square Enix for macOS, PlayStation 4, and Windows, then later on PlayStation 5 and Xbox Series X/S.
Final Fantasy XIV [c] is a massively multiplayer online role-playing game (MMORPG) developed and published by Square Enix.Directed and produced by Naoki Yoshida and released worldwide for PlayStation 3 and Windows in August 2013, it replaced the failed 2010 version, with subsequent support for PlayStation 4, macOS, PlayStation 5, and Xbox Series X/S.
The concept of a combinatorial map was introduced informally by J. Edmonds for polyhedral surfaces [2] which are planar graphs.It was given its first definite formal expression under the name "Constellations" by A. Jacques [3] [4] but the concept was already extensively used under the name "rotation" by Gerhard Ringel [5] and J.W.T. Youngs in their famous solution of the Heawood map-coloring ...
An irrational rotation is a measure-preserving ergodic transformation, but it is not mixing. The Poincaré map for the dynamical system associated with the Kronecker foliation on a torus with angle θ> is the irrational rotation by θ. C*-algebras associated with irrational rotations, known as irrational rotation algebras, have been extensively ...
Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...