off-diagonaladj.n.

Brit.

/ˌɒfdʌɪˈaɡ(ə)nl/,

/ˌɒfdʌɪˈaɡn̩l/, U.S.

/ˌɔfdaɪˈæɡən(ə)l/,

/ˌɑfdaɪˈæɡən(ə)l/,

/ˌɔfdaɪˈæɡn(ə)l/,

/ˌɑfdaɪˈæɡn(ə)l/

Origin: Formed within English, by derivation. Etymons: off- prefix, diagonal n.

Etymology: < off- prefix + diagonal n.

Mathematics.

Designating an element of a square matrix that is not on the principal diagonal (running from top left to bottom right). Also as n.: an off-diagonal element.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix > element or quality of

column1846

skew-symmetry1927

entry1928

off-diagonal1932

similarity class1952

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of array > relating to matrices > applied to element

off-diagonal1932

1932 Proc. Royal Soc. A. 136 599 Then the off diagonal components are of a similar order of intensity to the main diagonal lines.

1959 Proc. National Acad. Sci. U.S.A. 45 987 The elements d_jk in the quadratic form are identified as..[formulae] where d_jj's are diagonal elements and d_jk's are off-diagonals.

1972 Jrnl. Social Psychol. 86 198 All possible comparisons are set out here—i.e., including the congruences in the off-diagonals.

1981 A. D. Pierce Acoustics x. 510 The off-diagonal elements are the shear stresses.

1998 N. Maxwell Comprehensibility of Universe 264 The transpose of a matrix..is formed by exchanging off-diagonal elements with each other symmetrically.

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

单词	off-diagonal
释义	off-diagonaladj.n. Brit. /ˌɒfdʌɪˈaɡ(ə)nl/, /ˌɒfdʌɪˈaɡn̩l/, U.S. /ˌɔfdaɪˈæɡən(ə)l/, /ˌɑfdaɪˈæɡən(ə)l/, /ˌɔfdaɪˈæɡn(ə)l/, /ˌɑfdaɪˈæɡn(ə)l/ Origin: Formed within English, by derivation. Etymons: off- prefix, diagonal n. Etymology: < off- prefix + diagonal n. Mathematics. Designating an element of a square matrix that is not on the principal diagonal (running from top left to bottom right). Also as n.: an off-diagonal element. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix > element or quality of column1846 skew-symmetry1927 entry1928 off-diagonal1932 similarity class1952 the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of array > relating to matrices > applied to element off-diagonal1932 1932 Proc. Royal Soc. A. 136 599 Then the off diagonal components are of a similar order of intensity to the main diagonal lines. 1959 Proc. National Acad. Sci. U.S.A. 45 987 The elements d_jk in the quadratic form are identified as..[formulae] where d_jj's are diagonal elements and d_jk's are off-diagonals. 1972 Jrnl. Social Psychol. 86 198 All possible comparisons are set out here—i.e., including the congruences in the off-diagonals. 1981 A. D. Pierce Acoustics x. 510 The off-diagonal elements are the shear stresses. 1998 N. Maxwell Comprehensibility of Universe 264 The transpose of a matrix..is formed by exchanging off-diagonal elements with each other symmetrically. This entry has been updated (OED Third Edition, March 2004; most recently modified version published online March 2022). < adj.n.1932
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