- orthonormal frames
- мат. ортонормированные реперы
Большой англо-русский и русско-английский словарь. 2001.
orthonormal frames
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Orthonormal basis — In mathematics, particularly linear algebra, an orthonormal basis for inner product space V with finite dimension is a basis for V whose vectors are orthonormal.[1][2][3] For example, the standard basis for a Euclidean space Rn is an orthonormal… … Wikipedia
Frame bundle — In mathematics, a frame bundle is a principal fiber bundle F(E) associated to any vector bundle E. The fiber of F(E) over a point x is the set of all ordered bases, or frames, for Ex. The general linear group acts naturally on F(E) via a change… … Wikipedia
Moving frame — The Frenet Serret frame on a curve is the simplest example of a moving frame. In mathematics, a moving frame is a flexible generalization of the notion of an ordered basis of a vector space often used to study the extrinsic differential geometry… … Wikipedia
Spin structure — In differential geometry, a spin structure on an orientable Riemannian manifold allows one to define associated spinor bundles, giving rise to the notion of a spinor in differential geometry. Spin structures have wide applications to mathematical … Wikipedia
Grassmannian — In mathematics, a Grassmannian is a space which parameterizes all linear subspaces of a vector space V of a given dimension. For example, the Grassmannian Gr 1( V ) is the space of lines through the origin in V , so it is the same as the… … Wikipedia
Metric connection — In mathematics, a metric connection is a connection in a vector bundle E equipped with a metric for which the inner product of any two vectors will remain the same when those vectors are parallel transported along any curve. Other common… … Wikipedia
Darboux frame — In the differential geometry of surfaces, a Darboux frame is a natural moving frame constructed on a surface. It is the analog of the Frenet–Serret frame as applied to surface geometry. A Darboux frame exists at any non umbilic point of a surface … Wikipedia
Frame fields in general relativity — In general relativity, a frame field (also called a tetrad or vierbein) is a set of four orthonormal vector fields, one timelike and three spacelike, defined on a Lorentzian manifold that is physically interpreted as a model of spacetime. The… … Wikipedia
Stiefel manifold — In mathematics, the Stiefel manifold V k (R n ) is the set of all orthonormal k frames in R n . That is, it is the set of ordered k tuples of orthonormal vectors in R n . Likewise one can define the complex Stiefel manifold V k (C n ) of… … Wikipedia
Overcompleteness — A system in a Banach space X is complete if every element in X can be approximated arbitrarily well in norm by finite linear combinations of elements in .[1] Such a complete system is overcomplete if removal of a ϕj from the system results in a… … Wikipedia
Orthogonal group — Group theory Group theory … Wikipedia
