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Definition of Orthonormal
1. Adjective. (mathematics) Of a set of vectors, both orthogonal and normalized. ¹
2. Adjective. (mathematics) Of a linear transformation that preserves both angles and lengths. ¹
¹ Source: wiktionary.com
Definition of Orthonormal
1. [adj]
Lexicographical Neighbors of Orthonormal
Literary usage of Orthonormal
Below you will find example usage of this term as found in modern and/or classical literature:
1. Constrained Mechanics and Lie Theory by Robert Hermann (1992)
"orthonormal moving frames for Riemannian metrics. Cartan's brilliant treatment
of many geometric problems was usually associated with clever choice of a ..."
2. Convex Optimization and Euclidean Distance Geometry by Jon Dattorro (2005)
"Any real orthogonal projector may, in fact, be represented by an orthonormal
decomposition such as (1516). [135, §1, prob.42] To verify that assertion for ..."
3. Cartanian Geometry, Nonlinear Waves, and Control Theory. by Robert Hermann (1980)
"THE orthonormal FRAME BUNDLES TO SUBMANIFOLDS AS MAXIMAL INTEGRAL SUBMANIFOLDS
Continue with the notation of Section 2. Then M is a manifold of dimension ..."
4. Topics in Physical Geometry by Robert Hermann (1988)
"I will now pause in the development of the theory of the vortex filament equation
to review some material from differential geometry. 5. THE orthonormal ..."
5. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"An orthonormal system consists of pairwise orthogonal elements each of ...
in an inner product space and produce from it an orthonormal system {5i, 32,33, . ..."
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