orthogonalizev.

Brit.

/ɔːˈθɒɡənl̩ʌɪz/, U.S.

/ɔrˈθɑɡənəˌlaɪz/,

/ɔrˈθɑɡənlˌaɪz/

Forms: 1900s– orthogonalise, 1900s– orthogonalize.

Origin: Formed within English, by derivation. Etymons: orthogonal adj., -ize suffix.

Etymology: < orthogonal adj. + -ize suffix. Compare earlier orthogonalized adj., orthogonalizing n.

transitive. To make orthogonal; (Mathematics) to make (a set of vectors or functions) orthogonal (and, often, to normalize).

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > transformation > transform [verb (transitive)] > with correspondence between quantities > in specific way

substitute1645

revert1737

transpose1810

permute1878

adjoin1888

orthogonalize1920

orthonormalize1935

perm1959

Fourier-transform1970

1920 Amer. Jrnl. Math. 42 23 Beginning with the first function..we shall first orthogonalize all the other functions to it.

1948 G. S. Brown & D. P. Campbell Princ. Servomechanisms iii. 66 After the initial transformation, certain manipulations enable us to orthogonalize the mathematical forms.

1996 Math. of Computation 65 1221 The old approximate eigenvectors are added to the subspace and orthogonalized.

1997 Jrnl. Finance 52 1966 To do this I must orthogonalize the VAR shocks. Without orthogonalization, I would have to estimate variances and covariances between each variance and covariance of the VAR errors.

This entry has been updated (OED Third Edition, September 2004; most recently modified version published online March 2022).

单词	orthogonalize
释义	orthogonalizev. Brit. /ɔːˈθɒɡənl̩ʌɪz/, U.S. /ɔrˈθɑɡənəˌlaɪz/, /ɔrˈθɑɡənlˌaɪz/ Forms: 1900s– orthogonalise, 1900s– orthogonalize. Origin: Formed within English, by derivation. Etymons: orthogonal adj., -ize suffix. Etymology: < orthogonal adj. + -ize suffix. Compare earlier orthogonalized adj., orthogonalizing n. transitive. To make orthogonal; (Mathematics) to make (a set of vectors or functions) orthogonal (and, often, to normalize). ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > transformation > transform [verb (transitive)] > with correspondence between quantities > in specific way substitute1645 revert1737 transpose1810 permute1878 adjoin1888 orthogonalize1920 orthonormalize1935 perm1959 Fourier-transform1970 1920 Amer. Jrnl. Math. 42 23 Beginning with the first function..we shall first orthogonalize all the other functions to it. 1948 G. S. Brown & D. P. Campbell Princ. Servomechanisms iii. 66 After the initial transformation, certain manipulations enable us to orthogonalize the mathematical forms. 1996 Math. of Computation 65 1221 The old approximate eigenvectors are added to the subspace and orthogonalized. 1997 Jrnl. Finance 52 1966 To do this I must orthogonalize the VAR shocks. Without orthogonalization, I would have to estimate variances and covariances between each variance and covariance of the VAR errors. This entry has been updated (OED Third Edition, September 2004; most recently modified version published online March 2022). < v.1920
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