quanticadj.n.

Brit.

/ˈkwɒntɪk/, U.S.

/ˈkwɑn(t)ɪk/

Origin: A borrowing from Latin, combined with an English element. Etymons: Latin quantus , -ic suffix.

Etymology: < classical Latin quantus how much (see quantum n.) + -ic suffix.

Mathematics.

A. adj.

Relating to or designating a quantic (see sense B.). rare.

ΚΠ

1854 A. Cayley in Philos. Trans. 144 245 The word ‘quantic’ is an adjective, meaning of such a degree.

1865 Philos. Trans. 1864 (Royal Soc.) 154 616 Every binary quantic function not containing three or more equal roots is reducible to one or other of the two following forms.

1903 Math. Gaz. 2 351 Sturm's Theorem on the roots of a quantic equation.

2004 Internat. Jrnl. Non-linear Mechanics 39 1712/1 Quantic polynomial function is considered for the lateral displacement.

B. n.

A homogeneous polynomial function of two or more variables with constant coefficients. Also occasionally in plural (with singular agreement): the study of such functions.A quantic is described as quadric, cubic, quartic, etc., depending on whether it is of the second, third, fourth, etc., degree, respectively. It is described as binary, ternary, quaternary, etc., depending on whether it has two, three, four, etc., variables.

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

1854 A. Cayley in Philos. Trans. 144 245 The term Quantics is used to denote the entire subject of rational and integral functions, and of equations and loci to which these give rise; the word ‘quantic’..may be used substantively, the noun understood being..function.

1854 A. Cayley in Philos. Trans. 144 248 We may instead of a single quantic consider two or more quantics.

1896 E. B. Elliott (title) An introduction to the algebra of quantics.

1928 H. W. Turnbull Theory of Determinants viii. 133 A homogeneous polynomial is a form or quantic.

1955 Math. Mag. 28 302 The invariant..may be a number, like the length of the year; a function, as the discriminant of a binary quantic; [etc.].

1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxvi. 591 The quantic or form Ax² + 2Bxy + cY², when equated to a nonzero constant, represents an ellipse (real or imaginary), a parabola, or a hyperbola depending.

Derivatives

† quantical adj. Obsolete rare relating to quantics.

ΚΠ

1861 Philos. Trans. (Royal Soc.) 151 327 Throughout the whole of this paper I adopt Mr. Cayley's quantical notation.

This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022).

单词	quantic
释义	quanticadj.n. Brit. /ˈkwɒntɪk/, U.S. /ˈkwɑn(t)ɪk/ Origin: A borrowing from Latin, combined with an English element. Etymons: Latin quantus , -ic suffix. Etymology: < classical Latin quantus how much (see quantum n.) + -ic suffix. Mathematics. A. adj. Relating to or designating a quantic (see sense B.). rare. ΚΠ 1854 A. Cayley in Philos. Trans. 144 245 The word ‘quantic’ is an adjective, meaning of such a degree. 1865 Philos. Trans. 1864 (Royal Soc.) 154 616 Every binary quantic function not containing three or more equal roots is reducible to one or other of the two following forms. 1903 Math. Gaz. 2 351 Sturm's Theorem on the roots of a quantic equation. 2004 Internat. Jrnl. Non-linear Mechanics 39 1712/1 Quantic polynomial function is considered for the lateral displacement. B. n. A homogeneous polynomial function of two or more variables with constant coefficients. Also occasionally in plural (with singular agreement): the study of such functions.A quantic is described as quadric, cubic, quartic, etc., depending on whether it is of the second, third, fourth, etc., degree, respectively. It is described as binary, ternary, quaternary, etc., depending on whether it has two, three, four, etc., variables. 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 1854 A. Cayley in Philos. Trans. 144 245 The term Quantics is used to denote the entire subject of rational and integral functions, and of equations and loci to which these give rise; the word ‘quantic’..may be used substantively, the noun understood being..function. 1854 A. Cayley in Philos. Trans. 144 248 We may instead of a single quantic consider two or more quantics. 1896 E. B. Elliott (title) An introduction to the algebra of quantics. 1928 H. W. Turnbull Theory of Determinants viii. 133 A homogeneous polynomial is a form or quantic. 1955 Math. Mag. 28 302 The invariant..may be a number, like the length of the year; a function, as the discriminant of a binary quantic; [etc.]. 1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxvi. 591 The quantic or form Ax² + 2Bxy + cY², when equated to a nonzero constant, represents an ellipse (real or imaginary), a parabola, or a hyperbola depending. Derivatives † quantical adj. Obsolete rare relating to quantics. ΚΠ 1861 Philos. Trans. (Royal Soc.) 151 327 Throughout the whole of this paper I adopt Mr. Cayley's quantical notation. This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022). < adj.n.1854
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