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K-frame
In linear algebra, a branch of mathematics, a ''k''-frame is an ordered set of ''k'' linearly independent vectors in a space; thus ''k'' ≤ ''n'', where ''n'' is the dimension of the vector space, and if ''k'' = ''n'' an ''n''-frame is precisely an ordered basis. If the vectors are orthogonal, or orthonormal, the frame is called an orthogonal frame, or orthonormal frame, respectively. == Properties ==
* The set of ''k''-frames (particularly the set of orthonormal ''k''-frames) in a given space ''X'' is known as the Stiefel manifold, and denoted ''V''''k''(''X''). * A ''k''-frame defines a parallelotope (a generalized parallelepiped); the volume can be computed via the Gram determinant.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「K-frame」の詳細全文を読む
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