infinitesimal rotation

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• 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

• Infinitesimal transformation — In mathematics, an infinitesimal transformation is a limiting form of small transformation. For example one may talk about an infinitesimal rotation of a rigid body, in three dimensional space. This is conventionally represented by a 3 times;3… …   Wikipedia

• Rotation 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… …   Wikipedia

• Rotation 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… …   Wikipedia

• CALCUL INFINITÉSIMAL - Histoire — L’expression «calcul infinitésimal» désigne habituellement l’ensemble des notations et des méthodes fondamentales du calcul différentiel, du calcul intégral et du calcul des variations, tel qu’il a été mis au point au cours des XVIIe et XVIIIe… …   Encyclopédie Universelle

• Quaternions and spatial rotation — Unit quaternions provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions. Compared to Euler angles they are simpler to compose and avoid the problem of gimbal lock. Compared to… …   Wikipedia

• CALCUL INFINITÉSIMAL - Calcul à plusieurs variables — Le calcul infinitésimal des fonctions de plusieurs variables a eu un développement plus tardif que celui des fonctions d’un seul argument. Inauguré avec un siècle de retard, il ne parvient à établir solidement ses fondements qu’au début du XXe… …   Encyclopédie Universelle

• moment of rotation — Moment Mo ment, n. [F. moment, L. momentum, for movimentum movement, motion, moment, fr. movere to move. See {Move}, and cf. {Momentum}, {Movement}.] 1. A minute portion of time; a point of time; an instant; as, at that very moment. [1913… …   The Collaborative International Dictionary of English

• Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …   Wikipedia

• Eckart conditions — The Eckart conditions, [ C. Eckart, Some studies concerning rotating axes and polyatomic molecules , Physical Review,vol. 47, pp. 552 558 (1935).] named after Carl Eckart, sometimes referred to as Sayvetz conditions, [Aaron Sayvetz, The Kinetic… …   Wikipedia

• Compatibility (mechanics) — Continuum mechanics …   Wikipedia