Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Rotation_(mathematics)> ?p ?o }
- Rotation_(mathematics) abstract "Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point. A rotation is different from other types of motions: translations, which have no fixed points, and (hyperplane) reflections, each of them having an entire (n − 1)-dimensional flat of fixed points in a n-dimensional space.Mathematically, a rotation is a map. All rotations about a fixed point form a group under composition called the rotation group (of a particular space). But in mechanics and, more generally, in physics, this concept is frequently understood as a coordinate transformation (importantly, a transformation of an orthonormal basis), because for any motion of a body there is an inverse transformation which if applied to the frame of reference results in the body being at the same coordinates. For example, in two dimensions rotating a body clockwise about a point keeping the axes fixed is equivalent to rotating the axes counterclockwise about the same point while the body is kept fixed. These two types of rotation are called active and passive transformations.".
- Rotation_(mathematics) thumbnail Rotation_illustration2.svg?width=300.
- Rotation_(mathematics) wikiPageExternalLink rotation.pdf.
- Rotation_(mathematics) wikiPageID "410009".
- Rotation_(mathematics) wikiPageLength "23038".
- Rotation_(mathematics) wikiPageOutDegree "183".
- Rotation_(mathematics) wikiPageRevisionID "683469272".
- Rotation_(mathematics) wikiPageWikiLink Abelian_group.
- Rotation_(mathematics) wikiPageWikiLink Active_and_passive_transformation.
- Rotation_(mathematics) wikiPageWikiLink Affine_geometry.
- Rotation_(mathematics) wikiPageWikiLink Affine_space.
- Rotation_(mathematics) wikiPageWikiLink Aircraft_principal_axes.
- Rotation_(mathematics) wikiPageWikiLink Albuquerque.
- Rotation_(mathematics) wikiPageWikiLink Albuquerque,_New_Mexico.
- Rotation_(mathematics) wikiPageWikiLink Algebra.
- Rotation_(mathematics) wikiPageWikiLink Angle.
- Rotation_(mathematics) wikiPageWikiLink Axis–angle_representation.
- Rotation_(mathematics) wikiPageWikiLink Bijection.
- Rotation_(mathematics) wikiPageWikiLink Bivector.
- Rotation_(mathematics) wikiPageWikiLink Cambridge_University_Press.
- Rotation_(mathematics) wikiPageWikiLink Category:Euclidean_symmetries.
- Rotation_(mathematics) wikiPageWikiLink Category:Linear_operators.
- Rotation_(mathematics) wikiPageWikiLink Category:Rotational_symmetry.
- Rotation_(mathematics) wikiPageWikiLink Category:Unitary_operators.
- Rotation_(mathematics) wikiPageWikiLink Celestial_sphere.
- Rotation_(mathematics) wikiPageWikiLink Center_(geometry).
- Rotation_(mathematics) wikiPageWikiLink Centre_(geometry).
- Rotation_(mathematics) wikiPageWikiLink Charts_on_SO(3).
- Rotation_(mathematics) wikiPageWikiLink Circle_group.
- Rotation_(mathematics) wikiPageWikiLink Circular_symmetry.
- Rotation_(mathematics) wikiPageWikiLink Clifford_algebra.
- Rotation_(mathematics) wikiPageWikiLink Clockwise.
- Rotation_(mathematics) wikiPageWikiLink Column_vector.
- Rotation_(mathematics) wikiPageWikiLink Commutative.
- Rotation_(mathematics) wikiPageWikiLink Commutative_property.
- Rotation_(mathematics) wikiPageWikiLink Commutative_ring.
- Rotation_(mathematics) wikiPageWikiLink Complex_number.
- Rotation_(mathematics) wikiPageWikiLink Conformal_map.
- Rotation_(mathematics) wikiPageWikiLink Coordinate_rotations_and_reflections.
- Rotation_(mathematics) wikiPageWikiLink Coordinate_system.
- Rotation_(mathematics) wikiPageWikiLink Coordinate_transformation.
- Rotation_(mathematics) wikiPageWikiLink Counterclockwise.
- Rotation_(mathematics) wikiPageWikiLink Covering_group.
- Rotation_(mathematics) wikiPageWikiLink Degrees_of_freedom_(mechanics).
- Rotation_(mathematics) wikiPageWikiLink Determinant.
- Rotation_(mathematics) wikiPageWikiLink Dimension.
- Rotation_(mathematics) wikiPageWikiLink Dimension_(mathematics).
- Rotation_(mathematics) wikiPageWikiLink Dordrecht.
- Rotation_(mathematics) wikiPageWikiLink Elliptic_geometry.
- Rotation_(mathematics) wikiPageWikiLink Equivalence_relation.
- Rotation_(mathematics) wikiPageWikiLink Euclidean_distance.
- Rotation_(mathematics) wikiPageWikiLink Euclidean_geometry.
- Rotation_(mathematics) wikiPageWikiLink Euclidean_group.
- Rotation_(mathematics) wikiPageWikiLink Euclidean_norm.
- Rotation_(mathematics) wikiPageWikiLink Euclidean_plane_isometry.
- Rotation_(mathematics) wikiPageWikiLink Euclidean_space.
- Rotation_(mathematics) wikiPageWikiLink Euclidean_vector.
- Rotation_(mathematics) wikiPageWikiLink Euler_angles.
- Rotation_(mathematics) wikiPageWikiLink Eulers_formula.
- Rotation_(mathematics) wikiPageWikiLink Even_number.
- Rotation_(mathematics) wikiPageWikiLink Exponential_map_(Lie_theory).
- Rotation_(mathematics) wikiPageWikiLink Flat_(geometry).
- Rotation_(mathematics) wikiPageWikiLink Four-dimensional_space.
- Rotation_(mathematics) wikiPageWikiLink Frame_of_reference.
- Rotation_(mathematics) wikiPageWikiLink Function_composition.
- Rotation_(mathematics) wikiPageWikiLink General_position.
- Rotation_(mathematics) wikiPageWikiLink Geometric_algebra.
- Rotation_(mathematics) wikiPageWikiLink Geometry.
- Rotation_(mathematics) wikiPageWikiLink Group_(mathematics).
- Rotation_(mathematics) wikiPageWikiLink Group_action.
- Rotation_(mathematics) wikiPageWikiLink Group_representation.
- Rotation_(mathematics) wikiPageWikiLink Group_theory.
- Rotation_(mathematics) wikiPageWikiLink Homogeneous_coordinates.
- Rotation_(mathematics) wikiPageWikiLink Homography.
- Rotation_(mathematics) wikiPageWikiLink Hyperbolic_rotation.
- Rotation_(mathematics) wikiPageWikiLink Hyperbolic_space.
- Rotation_(mathematics) wikiPageWikiLink Identity_component.
- Rotation_(mathematics) wikiPageWikiLink Improper_rotation.
- Rotation_(mathematics) wikiPageWikiLink Infinitesimal_rotation.
- Rotation_(mathematics) wikiPageWikiLink Invariant_(mathematics).
- Rotation_(mathematics) wikiPageWikiLink Irrational_rotation.
- Rotation_(mathematics) wikiPageWikiLink Isometry.
- Rotation_(mathematics) wikiPageWikiLink Left_and_right_(algebra).
- Rotation_(mathematics) wikiPageWikiLink Lie_group.
- Rotation_(mathematics) wikiPageWikiLink Line_(geometry).
- Rotation_(mathematics) wikiPageWikiLink Linear_map.
- Rotation_(mathematics) wikiPageWikiLink Linear_operator.
- Rotation_(mathematics) wikiPageWikiLink Lorentz_group.
- Rotation_(mathematics) wikiPageWikiLink Lorentz_transformation.
- Rotation_(mathematics) wikiPageWikiLink Map_(mathematics).
- Rotation_(mathematics) wikiPageWikiLink Mathematical_structure.
- Rotation_(mathematics) wikiPageWikiLink Mathematics.
- Rotation_(mathematics) wikiPageWikiLink Matrix_multiplication.
- Rotation_(mathematics) wikiPageWikiLink Mechanics.
- Rotation_(mathematics) wikiPageWikiLink Metric_space.
- Rotation_(mathematics) wikiPageWikiLink Minkowski_diagram.
- Rotation_(mathematics) wikiPageWikiLink Minkowski_space.
- Rotation_(mathematics) wikiPageWikiLink Modular_arithmetic.
- Rotation_(mathematics) wikiPageWikiLink Motion_(geometry).
- Rotation_(mathematics) wikiPageWikiLink Multilinear_algebra.