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orthogonal reflection

См. также в других словарях:

  • Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Reflection (mathematics) — This article is about reflection in geometry. For reflexivity of binary relations, see reflexive relation. A reflection through an axis followed by a reflection across a second axis parallel to the first one results in a total motion which is a… …   Wikipedia

  • Reflection (linear algebra) — In linear algebra, a reflection is a linear transformation that squares to the identity ( R 2 = I , where R is in K dimensional space), also known as an involution in the general linear group. In addition to reflections across hyperplanes, the… …   Wikipedia

  • Euclidean plane isometry — In geometry, a Euclidean plane isometry is an isometry of the Euclidean plane, or more informally, a way of transforming the plane that preserves geometrical properties such as length. There are four types: translations, rotations, reflections,… …   Wikipedia

  • Euclidean group — In mathematics, the Euclidean group E ( n ), sometimes called ISO( n ) or similar, is the symmetry group of n dimensional Euclidean space. Its elements, the isometries associated with the Euclidean metric, are called Euclidean moves.These groups… …   Wikipedia

  • Orthotropic material — Wood is an example of an orthotropic material. Material properties in three perpendicular directions (axial, radial, and circumferential) are different. An orthotropic material has two or three mutually orthogonal twofold axes of rotational… …   Wikipedia

  • Wikipedia:Reference desk/Mathematics — The Wikipedia Reference Desk covering the topic of mathematics. Mathematics #eee #f5f5f5 #eee #aaa #aaa #aaa #00f #36b #000 #00f mathematics Wikipedia:Refere …   Wikipedia

  • Rotation (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… …   Wikipedia

  • Rotation 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… …   Wikipedia

  • Pin group — In mathematics, the pin group is a certain subgroup of the Clifford algebra associated to a quadratic space. It maps 2 to 1 to the orthogonal group, just as the spin group maps 2 to 1 to the special orthogonal group.In general the map from the… …   Wikipedia

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