ternariantn.

/təˈnɛːrɪənt/

Etymology: < ternary adj. and n. + the ending of invariant adj. and n., etc.

Mathematics.

(See quots.)

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > consisting of specific number of terms

binomial1557

binomy1571

trinomy1571

quadrinomial1673

multinomiala1690

polynomiala1690

trinomiala1690

monomial1706

nomial1717

monome1736

infinitinomial1763

polynome1828

mononomial1844

quantic1854

form1859

Jacobi polynomial1882

Jacobi's function1882

ternariant1882

triquaternion1902

term1957

arity1968

1882 J. J. Sylvester in Amer. Jrnl. Math. 5 81 (note) I am inclined to substitute the word binariant for subinvariants, and to speak of simple, double, treble or multiple binariants. The functions similarly related to ternary forms will then be styled simple or multiple ternariants.

1890 Forsyth in Amer. Jrnl. Math. 12 1 (note) It has proved convenient to use the word ‘ternariants’ as a generic term for concomitants of ternary quantics, instead of giving it the signification which Prof. Sylvester..proposed,..viz. the leading coefficients of those concomitants.

This entry has not yet been fully updated (first published 1911; most recently modified version published online June 2018).

单词	ternariant
释义	ternariantn. /təˈnɛːrɪənt/ Etymology: < ternary adj. and n. + the ending of invariant adj. and n., etc. Mathematics. (See quots.) ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > consisting of specific number of terms binomial1557 binomy1571 trinomy1571 quadrinomial1673 multinomiala1690 polynomiala1690 trinomiala1690 monomial1706 nomial1717 monome1736 infinitinomial1763 polynome1828 mononomial1844 quantic1854 form1859 Jacobi polynomial1882 Jacobi's function1882 ternariant1882 triquaternion1902 term1957 arity1968 1882 J. J. Sylvester in Amer. Jrnl. Math. 5 81 (note) I am inclined to substitute the word binariant for subinvariants, and to speak of simple, double, treble or multiple binariants. The functions similarly related to ternary forms will then be styled simple or multiple ternariants. 1890 Forsyth in Amer. Jrnl. Math. 12 1 (note) It has proved convenient to use the word ‘ternariants’ as a generic term for concomitants of ternary quantics, instead of giving it the signification which Prof. Sylvester..proposed,..viz. the leading coefficients of those concomitants. This entry has not yet been fully updated (first published 1911; most recently modified version published online June 2018). < n.1882
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