coordinate rotation

  • 1Coordinate rotations and reflections — Main article: Orthogonal group In geometry, 2D coordinate rotations and reflections are two kinds of Euclidean plane isometries which are related to one another. A rotation in the plane can be formed by composing a pair of reflections. First… …

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  • 2Rotation (disambiguation) — The term rotation can be used in several ways and includes various topics. Generally, it is used to denote (in 3D) the rotation of movement of a rigid body in such a way that any given point of that body remains at a constant distance from some… …

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  • 3Coordinate transformation — See: *Coordinate transformations *List of canonical coordinate transformations *Coordinate rotation *Covariance and contravariance *Covariant transformation *Atlas (topology) *Change of basis disambig …

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  • 4Rotation (mathematics) — Rotation of an object in two dimensions around a point O. In geometry and linear algebra, a rotation is a transformation in a plane or in space that describes the motion of a rigid body around a fixed point. A rotation is different from a… …

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  • 5Rotation of axes — is a form of Euclidean transformation in which the entire xy coordinate system is rotated in the counter clockwise direction with respect to the origin (0, 0) through a scalar quantity denoted by θ.With the exception of the degenerate cases, if a …

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  • 6Rotation (pool) — Rotation, sometimes called rotation pool or 61, is a pocket billiards (pool) game, requiring a standard pool table, Cuegloss|Cue ball|cue ball and triangular rack of fifteen pool balls, in which the lowest numbered Cuegloss|Object ball|object… …

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  • 7Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… …

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  • 8Rotation representation (mathematics) — In geometry a rotation representation expresses the orientation of an object (or coordinate frame) relative to a coordinate reference frame. This concept extends to classical mechanics where rotational (or angular) kinematics is the science of… …

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  • 9Rotation operator (vector space) — This article derives the main properties of rotations in 3 dimensional space.The three Euler rotations is an obvious way to bring a rigid body into any desired orientation bysequentially making rotations about axis fixed relative the body. But it …

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  • 10Coordinate time — In the theory of relativity, it is convenient to express results in terms of a spacetime coordinate system relative to an implied observer. In many (but not all) coordinate systems, an event is specified by one time coordinate and three spatial… …

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