idemfactorn.

Brit.

/ˈɪdɛmˌfaktə/,

/ˈʌɪdɛmˌfaktə/, U.S.

/ˈaɪdɛmˌfæktər/,

/ˈaɪdɛmˌfæktɔr/,

/ˈidɛmˌfæktər/,

/ˈidɛmˌfæktɔr/

Origin: A borrowing from Latin, combined with an English element. Etymons: Latin īdem , factor n.

Etymology: < classical Latin īdem the same (see idem n.) + factor n. Compare idemfaciend adj., idemfacient adj.

Mathematics.

An operator or quantity which, when applied to another quantity, leaves that quantity unchanged.

ΚΠ

1870 B. Peirce in Amer. Jrnl. Math. (1881) 4 104 When an expression used as a factor in certain combinations overpowers the other factors and is itself the product, it may be called an idemfactor.

1902 Trans. Amer. Math. Soc. 3 312 If αβ = βα = α, α is an idemfactor with respect to β.

1923 Proc. Royal Soc. A. 103 647 In Gibb's [sic] vector notation we meet with an operator known as the idemfactor which is denoted by I = ii + jj + kk.

1964 G. Nadau Introd. Elasticity i. 7 The idemfactor, or unit dyadic, is represented by 1, and defined by the relations 1 · V = V ·1 = V.

2000 SIAM Jrnl. Appl. Math. 61 893 Ī_s = I − n̄n̄ is the spatial idemfactor.

This entry has been updated (OED Third Edition, November 2010; most recently modified version published online March 2022).

单词	idemfactor
释义	idemfactorn. Brit. /ˈɪdɛmˌfaktə/, /ˈʌɪdɛmˌfaktə/, U.S. /ˈaɪdɛmˌfæktər/, /ˈaɪdɛmˌfæktɔr/, /ˈidɛmˌfæktər/, /ˈidɛmˌfæktɔr/ Origin: A borrowing from Latin, combined with an English element. Etymons: Latin īdem , factor n. Etymology: < classical Latin īdem the same (see idem n.) + factor n. Compare idemfaciend adj., idemfacient adj. Mathematics. An operator or quantity which, when applied to another quantity, leaves that quantity unchanged. ΚΠ 1870 B. Peirce in Amer. Jrnl. Math. (1881) 4 104 When an expression used as a factor in certain combinations overpowers the other factors and is itself the product, it may be called an idemfactor. 1902 Trans. Amer. Math. Soc. 3 312 If αβ = βα = α, α is an idemfactor with respect to β. 1923 Proc. Royal Soc. A. 103 647 In Gibb's [sic] vector notation we meet with an operator known as the idemfactor which is denoted by I = ii + jj + kk. 1964 G. Nadau Introd. Elasticity i. 7 The idemfactor, or unit dyadic, is represented by 1, and defined by the relations 1 · V = V ·1 = V. 2000 SIAM Jrnl. Appl. Math. 61 893 Ī_s = I − n̄n̄ is the spatial idemfactor. This entry has been updated (OED Third Edition, November 2010; most recently modified version published online March 2022). < n.1870
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