单词	orthonormal
释义	orthonormal /ˌɔːθəˈnɔːm(ə)l / adjective Mathematics Both orthogonal and normalized.He also expanded functions related to the integral of the kernel function as an infinite series in a set of orthonormal eigenfunctions.... He also studied orthonormal series and topology. Fig.4 A shows the four orthonormal basis spectra with highest singular values (U spectra, see Material and Methods). Derivatives orthonormality noun ... The orthonormality condition ensures that minimization along any given direction vector does not jeopardize the minimization along another direction vector within this set. The modes are defined by weighting patterns together with some appropriate restrictions (orthonormality) as shown in the following. On the other hand, repeated computing of scalar products in (3) and (5) help to check orthonormality at every stage. orthonormalization noun ... In this paper he gave what is now called the Gram Schmidt orthonormalisation process for constructing an orthonormal set of functions from a linearly independent set. The set { 1,…, k } can be transformed into a mutually orthonormal set of vectors given by { 1,…,’ k } using the Gram-Schmidt orthonormalization procedure. n the present study, a numeric orthonormalisation method for calculating this and similar problems is tested in order to resolve the stiffness.
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