Definition of orthonormal in English:

orthonormal

adjective ˌɔːθəˈnɔːm(ə)lˌôrTHōˈnôrməl

Mathematics

Both orthogonal and normalized.
〔数〕标准正交的，规格化正交的
Example sentencesExamples
- He also expanded functions related to the integral of the kernel function as an infinite series in a set of orthonormal eigenfunctions.
- We didn't use sines and cosines; we used ‘complete sets of orthonormal functions on a measurable space’ or something.
- 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).
- The set { 1,…, k } can be transformed into a mutually orthonormal set of vectors given by { 1,…,’ k } using the Gram-Schmidt orthonormalization procedure.

Derivatives

orthonormality

noun

Mathematics

The condition of orthonormality is utilized thereby establishing a technique applicable to image compression.
Example sentencesExamples
- The orthonormality condition ensures that minimization along any given direction vector does not jeopardize the minimization along another direction vector within this set.
- Our approach achieves orthonormality of spherical harmonics to higher order for relatively distributed layouts.
- On the other hand, repeated computing of scalar products in (3) and (5) help to check orthonormality at every stage.
- The modes are defined by weighting patterns together with some appropriate restrictions (orthonormality) as shown in the following.

orthonormalization

noun

Mathematics

Comparison of the compound matrix and orthonormalisation methods for calculating the stability of heated water boundary layers.
Example sentencesExamples
- The set { 1,…, k } can be transformed into a mutually orthonormal set of vectors given by { 1,…,’ k } using the Gram-Schmidt orthonormalization procedure.
- 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.
- n the present study, a numeric orthonormalisation method for calculating this and similar problems is tested in order to resolve the stiffness.
- The authors propose an orthonormalisation procedure which meets all these requirements.

Definition of orthonormal in US English:

orthonormal

adjectiveˌôrTHōˈnôrməl

Mathematics

Both orthogonal and normalized.
〔数〕标准正交的，规格化正交的
Example sentencesExamples
- Fig.4 A shows the four orthonormal basis spectra with highest singular values (U spectra, see Material and Methods).
- He also studied orthonormal series and topology.
- We didn't use sines and cosines; we used ‘complete sets of orthonormal functions on a measurable space’ or something.
- He also expanded functions related to the integral of the kernel function as an infinite series in a set of orthonormal eigenfunctions.
- The set { 1,…, k } can be transformed into a mutually orthonormal set of vectors given by { 1,…,’ k } using the Gram-Schmidt orthonormalization procedure.

词汇	orthonormal
释义	Definition of orthonormal in English: orthonormal adjective ˌɔːθəˈnɔːm(ə)lˌôrTHōˈnôrməl Mathematics Both orthogonal and normalized. 〔数〕标准正交的，规格化正交的 Example sentencesExamples He also expanded functions related to the integral of the kernel function as an infinite series in a set of orthonormal eigenfunctions. We didn't use sines and cosines; we used ‘complete sets of orthonormal functions on a measurable space’ or something. 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). The set { 1,…, k } can be transformed into a mutually orthonormal set of vectors given by { 1,…,’ k } using the Gram-Schmidt orthonormalization procedure. Derivatives orthonormality noun Mathematics The condition of orthonormality is utilized thereby establishing a technique applicable to image compression. Example sentencesExamples The orthonormality condition ensures that minimization along any given direction vector does not jeopardize the minimization along another direction vector within this set. Our approach achieves orthonormality of spherical harmonics to higher order for relatively distributed layouts. On the other hand, repeated computing of scalar products in (3) and (5) help to check orthonormality at every stage. The modes are defined by weighting patterns together with some appropriate restrictions (orthonormality) as shown in the following. orthonormalization noun Mathematics Comparison of the compound matrix and orthonormalisation methods for calculating the stability of heated water boundary layers. Example sentencesExamples The set { 1,…, k } can be transformed into a mutually orthonormal set of vectors given by { 1,…,’ k } using the Gram-Schmidt orthonormalization procedure. 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. n the present study, a numeric orthonormalisation method for calculating this and similar problems is tested in order to resolve the stiffness. The authors propose an orthonormalisation procedure which meets all these requirements. Definition of orthonormal in US English: orthonormal adjectiveˌôrTHōˈnôrməl Mathematics Both orthogonal and normalized. 〔数〕标准正交的，规格化正交的 Example sentencesExamples Fig.4 A shows the four orthonormal basis spectra with highest singular values (U spectra, see Material and Methods). He also studied orthonormal series and topology. We didn't use sines and cosines; we used ‘complete sets of orthonormal functions on a measurable space’ or something. He also expanded functions related to the integral of the kernel function as an infinite series in a set of orthonormal eigenfunctions. The set { 1,…, k } can be transformed into a mutually orthonormal set of vectors given by { 1,…,’ k } using the Gram-Schmidt orthonormalization procedure.
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