请输入您要查询的英文单词:

 

单词 adjugate
释义

adjugateadj.n.

Brit. /ˈadʒuːɡeɪt/, /ˈadʒuːɡət/, U.S. /ˈædʒuˌɡeɪt/, /ˈædʒuɡət/
Origin: Formed within English, by conversion. Etymon: adjugate v.
Etymology: < adjugate v.
Mathematics.
A. adj.
= adjoint adj. 3.
ΘΚΠ
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of array > relating to matrices > qualities
adjoint1856
transposed1858
adjugate1867
orthogonal1891
alternant1892
positive definite1904
skew-symmetric1911
skew-symmetrical1911
unipotent1921
Hermitian1927
non-Hermitian1930
1867 C. L. Dodgson in Proc. Royal Soc. 1866–7 15 152 I shall use the word ‘adjugate’ in the following sense:—if there be a square block, and if a new block be formed, such that each of its terms is the determinant of the complemental minor of the corresponding term of the first block, the second block is said to be adjugate to the first.
1882 T. Muir Treat. Theory Determinants ii. 135 The determinant each of whose elements is the co-factor of the corresponding element in another determinant is called the determinant adjugate to that other.
1929 H. W. Turbull Theory Determinants, Matrices, & Invariants iv. 70 There still exists the matrix of elements [αji] where αij is the co-factor of aij in |A|... This is called the adjugate matrix.
1966 Math. Rev. 31 34/2 (title) On the perturbation of eigenvectors and eigenvalues of matrices involving generalized adjugate vectors.
2007 J. Gentle Matrix Algebra iii. 51 (heading) Minors, cofactors, and adjugate matrices.
B. n.
An adjoint matrix. Cf. adjoint n. 3.
ΘΚΠ
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix
matrix1850
unit matrix1861
adjugate1882
adjoint1889
submatrix1903
identity matrix1908
row matrix1936
transpose1937
singular matrix1964
1882 T. Muir Treat. Theory Determinants ii. 141 All the minors of the adjugate which are of a higher order than the first must also be equal to zero.
1929 H. W. Turbull Theory Determinants, Matrices, & Invariants iv. 67 The determinant..is called the adjugate of Δ. Its elements are the co-factors of the corresponding elements of Δ.
1962 Math. Rev. 23 a599/1 Let A* denote the adjugate of a real n x n matrix A.
2007 J. Gentle Matrix Algebra iv. 147 The fact that the determinant is a continuous function immediately yields the result that cofactors and hence the adjugate are continuous.
This is a new entry (OED Third Edition, December 2011; most recently modified version published online December 2021).

adjugatev.

Origin: A borrowing from Latin. Etymons: Latin adiugāt-, adiugāre.
Etymology: < classical Latin adiugāt-, past participial stem (see -ate suffix3) of adiugāre to join, attach (to) < ad- ad- prefix + iugāre to yoke (see jugate v.). Compare earlier conjugate v. 1.
Obsolete. rare.
transitive. To yoke, to couple; to join.
ΘΚΠ
the world > relative properties > wholeness > mutual relation of parts to whole > fact or action of being joined or joining > join (together) [verb (transitive)] > couple or yoke together
couplec1330
twinc1394
yokea1400
accouple1548
conjugate1570
ingeminate1609
incouple1611
jugate1623
adjugate1730
wive1886
1730 N. Bailey et al. Dictionarium Britannicum Adjugate, to yoke or couple to.
1796 R. G. Waterhouse Diary in E. W. Layman R. G. Waterhouse (1996) ix. 79 My father, Henry Waterhouse..was early in life adjugated to my mother, Elizabeth Green.
This entry has been updated (OED Third Edition, December 2011; most recently modified version published online March 2021).
<
adj.n.1867v.1730
随便看

 

英语词典包含1132095条英英释义在线翻译词条,基本涵盖了全部常用单词的英英翻译及用法,是英语学习的有利工具。

 

Copyright © 2004-2022 Newdu.com All Rights Reserved
更新时间:2024/11/10 21:45:43