(rotation through an angle
1Rotation group — This article is about rotations in three dimensional Euclidean space. For rotations in four dimensional Euclidean space, see SO(4). For rotations in higher dimensions, see orthogonal group. In mechanics and geometry, the rotation group is the… …
2Rotation (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… …
3Rotation 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… …
4Angle — This article is about angles in geometry. For other uses, see Angle (disambiguation). Oblique angle redirects here. For the cinematographic technique, see Dutch angle. ∠, the angle symbol In geometry, an angle is the figure formed by two rays… …
5Rotation operator (quantum mechanics) — This article concerns the rotation operator, as it appears in quantum mechanics.The translation operatorThe rotation operator ,mbox{R}(z, t), with the first argument ,z indicating the rotation axis and the second ,t = heta the rotation angle, is… …
6Rotation 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 …
7Rotation — This article is about movement of a physical body. For other uses, see Rotation (disambiguation). A polyhedron resembling a sphere rotating around an axis. A rotation is a circular movement of an object around a center (or point) of rotation. A… …
8Rotation 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 …
9Rotation around a fixed axis — Rotational motion can occur around more than one axis at once, and can involve phenomena such as wobbling and precession. Rotation around a fixed axis is a special case of rotational motion, which does not involve those phenomena. The kinematics… …
10angle — The meeting point of two lines or planes; the figure formed by the junction of two lines or planes; the space bounded on two sides by lines or planes that meet. For angles not listed below, see the descriptive term; e.g., axioincisal, distobuccal …
