| 单词 |
orthonormal |
| 释义 |
orthonormal, a. Math.|ɔːθəʊˈnɔːməl|
[f. orthogonal a. + normal a.]
Both orthogonal and normalized.
1932M. H. Stone Linear Transformations in Hilbert Space i. 7 Two elements f, g, of 𝔥 are said to be orthogonal if (f, g) vanishes... A subset 𝔊 of ℌ is said to be an orthonormal set if, when f and g are elements of 𝔊, (f, g) = ⎨ 1, f = g / 0, f ≠ g ⎬. 1941R. V. Churchill Fourier Series iii. 35 The symbol {ob}ϕr{cb} will be used to denote an orthonormal set whose vectors are ϕ1, ϕ2, and ϕ3. The simplest example of such a set is that consisting of the unit vectors along the three coordinate axes. 1965Patterson & Rutherford Elem. Abstr. Algebra v. 173 It is frequently desirable to choose an orthonormal basis: that is, a basis of which each vector is of unit length..and such that any two basic vectors are orthogonal. 1968G. Ludwig Wave Mech. i. iii. 33 The degree of such a complete orthonormal system can be called the dimension of a Hilbert space.
Hence orthonorˈmality, the property of being orthonormal.
1949L. I. Schiff Quantum Mech. 401 (Index), Orthonormality. 1959G. Troup Masers ii. 16 This orthonormality is an expression of the independence of the stationary states. 1971Amer. Jrnl. Physics XXXIX. 498/1 The {ob}cnr{cb} must satisfy the orthonormality relation. |
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