idemfacientadj.

Brit.

/ˌɪdɛmˈfeɪʃ(ɪ)ənt/,

/ˌʌɪdɛmˈfeɪʃ(ɪ)ənt/, U.S.

/ˌaɪdɛmˈfeɪʃ(ɪ)ənt/,

/ˌidɛmˈfeɪʃ(ɪ)ənt/

Origin: A borrowing from Latin, combined with an English element. Etymons: Latin īdem , -facient comb. form.

Etymology: < classical Latin īdem the same (see idem n.) + -facient comb. form. Compare idemfaciend adj., idemfactor n.

Mathematics. rare. Now historical.

In the terminology of B. Peirce: designating a quantity which has the property that when operating on another quantity the result is the first quantity.

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. When in the production of such a result it is the multiplier, it is idemfacient, but when it is the multiplicand it is idemfaciend.

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

1913 Ann. Math. 15 93 A new type of finite linear algebras is found,..not obeying the associative law or containing an idemfacient element.

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

单词	idemfacient
释义	idemfacientadj. Brit. /ˌɪdɛmˈfeɪʃ(ɪ)ənt/, /ˌʌɪdɛmˈfeɪʃ(ɪ)ənt/, U.S. /ˌaɪdɛmˈfeɪʃ(ɪ)ənt/, /ˌidɛmˈfeɪʃ(ɪ)ənt/ Origin: A borrowing from Latin, combined with an English element. Etymons: Latin īdem , -facient comb. form. Etymology: < classical Latin īdem the same (see idem n.) + -facient comb. form. Compare idemfaciend adj., idemfactor n. Mathematics. rare. Now historical. In the terminology of B. Peirce: designating a quantity which has the property that when operating on another quantity the result is the first quantity. 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. When in the production of such a result it is the multiplier, it is idemfacient, but when it is the multiplicand it is idemfaciend. 1902 Trans. Amer. Math. Soc. 3 312 If αβ = α, α is idemfacient with respect to β. 1913 Ann. Math. 15 93 A new type of finite linear algebras is found,..not obeying the associative law or containing an idemfacient element. This entry has been updated (OED Third Edition, November 2010; most recently modified version published online March 2022). < adj.1870
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