orthonormal
adjective Date: 1932 1. of real-valued functions orthogonal with the integral of the square of each function over a specified interval equal to one 2. being or composed of orthogonal elements of unit length <
orthonormal basis of a vector space
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New Collegiate Dictionary. 2001.

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• Orthonormal — Als orthonormal (genauer: zueinander orthonormal) werden in der Mathematik Vektoren bezeichnet, die zueinander orthogonal sind und alle die Norm (anschaulich: Länge) eins besitzen. Eine Basis eines Vektorraums aus orthonormalen Vektoren bildet… …   Deutsch Wikipedia

• orthonormal — ˌ adjective Etymology: orth + normal 1. of real valued functions : orthogonal with the integral of the square of each function over a specified interval equal to one 2. : being or composed of orthogonal elements of unit length orthonormal basis… …   Useful english dictionary

• orthonormal — /awr theuh nawr meuhl/, adj. Math. 1. (of a system of functions) normal; normalized. 2. (of a set of vectors) having the properties that any two vectors are perpendicular and that each vector has a length of one unit. [1930 35; ORTHO + NORMAL] *… …   Universalium

• orthonormal — adjective a) Of a set of vectors, both orthogonal and normalized. b) Of a linear transformation that preserves both angles and lengths. See Also: orthogonal …   Wiktionary

• orthonormal — orthonormiert …   Universal-Lexikon

• orthonormal — adj. normal, normalized (Mathematics in function systems); condition in which any two vectors are perpendicular and that each has a length of one unit (Mathematics in vector systems) …   English contemporary dictionary

• orthonormal — or·tho·normal …   English syllables

• orthonormal, orthonormale, orthonormaux ou orthonormé, orthonormée — ● orthonormal, orthonormale, orthonormaux ou orthonormé, orthonormée adjectif Se dit d une base d un espace vectoriel, orthogonale et telle que la norme de chaque vecteur de la base soit égale à l unité. ● orthonormal, orthonormale, orthonormaux… …   Encyclopédie Universelle

• 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

• Orthonormal frame — In Riemannian geometry and relativity theory, an orthonormal frame is a tool for studying the structure of a differentiable manifold equipped with a metric. If M is a manifold equipped with a metric g, then an orthonormal frame at a point P of M… …   Wikipedia