monomialn.adj.

Brit.

/mɒˈnəʊmɪəl/,

/məˈnəʊmɪəl/, U.S.

/məˈnoʊmiəl/

Origin: Formed within English, by compounding; modelled on a French lexical item. Etymons: mono- comb. form, binomial n.

Etymology: < mo- (in mono- comb. form) + -nomial (in binomial n.), after French monôme monome n. (1691). Compare mononomial n.

A. n.

1. Mathematics. An algebraic expression consisting of one term only. Cf. mononomial n.

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

1706 Phillips's New World of Words (new ed.) Monomial, in Algebra, a Magnitude or Quantity of one Name, or of one single Term.

1854 J. R. Young in Orr's Circle Sci.: Math. Sci. 209 The square of a monomial is itself a monomial.

1866 W. T. Brande & G. W. Cox Dict. Sci., Lit. & Art (new ed.) II. 569/1 Thus a, 2ab, 3acx² are monomials.

1918 Amer. Jrnl. Math. 40 258 The elements of U which are not zeros are monomials.

1950 Trans. Amer. Math. Soc. 69 484 If P₁(a₁, a₂, …, a_r) denotes the polynomial which is obtained from P by reversing the order of the terms in each monomial, then [etc.].

1993 R. J. Pond Introd. Engin. Technol. (ed. 2) iv. 79 There is also a difference, mathematically, between dividing a number into a sum (polynomial) or a product (monomial).

2. Chiefly Taxonomy. A taxonomic or technical name consisting of one word only; = mononym n. Cf. binomial adj. 2.

ΘΚΠ

the mind > language > linguistics > linguistic unit > phrase > [noun] > term or expression > with only one word

mononym1884

monomial1885

1885 B. G. Wilder in Jrnl. Nerv. & Mental Dis. 12 272 Most of the names selected or introduced by me consist of a single word each; they are monomials, or better, mononyms.

1943 Bull. Torrey Bot. Club 70 120 It may be well to point out that the name [sc. Mycorhizonium] was used as a monomial and consequently is not valid as a generic designation.

B. adj.

1. Mathematics. Consisting of one term only; of or relating to a monomial or monomials.

ΘΚΠ

the world > relative properties > number > algebra > [adjective] > relating to expressions > involving specific number of terms

binomial1570

multinomial1608

quadrinomial1673

solinomial1690

polynomial1704

trinomial1704

infinitinomial1706

monomial1801

tetranomial1817

unipartite1819

monome1829

mononomial1861

polynomic1868

tripartite1869

multinominal1940

1801 Monthly Rev. 35 471 Formation of the powers of monomial quantities.

1854 J. R. Young in Orr's Circle Sci.: Math. Sci. 234 When the surd..is monomial.

1878 Amer. Jrnl. Math. 1 89 Let us understand by a monomial differentiant one which..may be expressed as a permutation-sum of a single product of differences of roots of the parent quantic.

1902 Encycl. Brit. XXIX. 180/2 Sarrau's Monomial Formula is much employed, in giving the muzzle velocity.

1936 Ann. Math. 37 225 Monomial terms of the form 0.z₁…z_n cannot be omitted.

1962 C. W. Curtis & I. Reiner Repr. Theory Finite Groups vii. 347 Monomial representation.

1982 Mathematica Scandinavica 51 22 For monomial rings (rings of type K[X₁,..,X_n] modulo an ideal generated by monomials) the question of rationality is still open.

2. Chiefly Taxonomy. Designating or relating to a taxonomic or technical name consisting of one word only. Cf. binomial adj. 2.

ΘΚΠ

the mind > language > linguistics > linguistic unit > phrase > [adjective] > consisting of one-word term

mononymic1872

monomial1884

1884 Jrnl. Nerv. & Mental Dis. 11 452 Professor Wilder urges the adoption of technical, brief, monomial terms.

1921 Amer. Jrnl. Bot. 8 281 Since the days of Linnaeus, names of plants have been binomial, [etc.].., but never monomial.

1973 Amer. Rev. Ecol. & Systematics 4 263 It should be pointed out that these superficially binomial expressions are seen as conceptually subordinate to their monomial counterparts.

This entry has been updated (OED Third Edition, December 2002; most recently modified version published online March 2022).

单词	monomial
释义	monomialn.adj. Brit. /mɒˈnəʊmɪəl/, /məˈnəʊmɪəl/, U.S. /məˈnoʊmiəl/ Origin: Formed within English, by compounding; modelled on a French lexical item. Etymons: mono- comb. form, binomial n. Etymology: < mo- (in mono- comb. form) + -nomial (in binomial n.), after French monôme monome n. (1691). Compare mononomial n. A. n. 1. Mathematics. An algebraic expression consisting of one term only. Cf. mononomial n. 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 1706 Phillips's New World of Words (new ed.) Monomial, in Algebra, a Magnitude or Quantity of one Name, or of one single Term. 1854 J. R. Young in Orr's Circle Sci.: Math. Sci. 209 The square of a monomial is itself a monomial. 1866 W. T. Brande & G. W. Cox Dict. Sci., Lit. & Art (new ed.) II. 569/1 Thus a, 2ab, 3acx² are monomials. 1918 Amer. Jrnl. Math. 40 258 The elements of U which are not zeros are monomials. 1950 Trans. Amer. Math. Soc. 69 484 If P₁(a₁, a₂, …, a_r) denotes the polynomial which is obtained from P by reversing the order of the terms in each monomial, then [etc.]. 1993 R. J. Pond Introd. Engin. Technol. (ed. 2) iv. 79 There is also a difference, mathematically, between dividing a number into a sum (polynomial) or a product (monomial). 2. Chiefly Taxonomy. A taxonomic or technical name consisting of one word only; = mononym n. Cf. binomial adj. 2. ΘΚΠ the mind > language > linguistics > linguistic unit > phrase > [noun] > term or expression > with only one word mononym1884 monomial1885 1885 B. G. Wilder in Jrnl. Nerv. & Mental Dis. 12 272 Most of the names selected or introduced by me consist of a single word each; they are monomials, or better, mononyms. 1943 Bull. Torrey Bot. Club 70 120 It may be well to point out that the name [sc. Mycorhizonium] was used as a monomial and consequently is not valid as a generic designation. B. adj. 1. Mathematics. Consisting of one term only; of or relating to a monomial or monomials. ΘΚΠ the world > relative properties > number > algebra > [adjective] > relating to expressions > involving specific number of terms binomial1570 multinomial1608 quadrinomial1673 solinomial1690 polynomial1704 trinomial1704 infinitinomial1706 monomial1801 tetranomial1817 unipartite1819 monome1829 mononomial1861 polynomic1868 tripartite1869 multinominal1940 1801 Monthly Rev. 35 471 Formation of the powers of monomial quantities. 1854 J. R. Young in Orr's Circle Sci.: Math. Sci. 234 When the surd..is monomial. 1878 Amer. Jrnl. Math. 1 89 Let us understand by a monomial differentiant one which..may be expressed as a permutation-sum of a single product of differences of roots of the parent quantic. 1902 Encycl. Brit. XXIX. 180/2 Sarrau's Monomial Formula is much employed, in giving the muzzle velocity. 1936 Ann. Math. 37 225 Monomial terms of the form 0.z₁…z_n cannot be omitted. 1962 C. W. Curtis & I. Reiner Repr. Theory Finite Groups vii. 347 Monomial representation. 1982 Mathematica Scandinavica 51 22 For monomial rings (rings of type K[X₁,..,X_n] modulo an ideal generated by monomials) the question of rationality is still open. 2. Chiefly Taxonomy. Designating or relating to a taxonomic or technical name consisting of one word only. Cf. binomial adj. 2. ΘΚΠ the mind > language > linguistics > linguistic unit > phrase > [adjective] > consisting of one-word term mononymic1872 monomial1884 1884 Jrnl. Nerv. & Mental Dis. 11 452 Professor Wilder urges the adoption of technical, brief, monomial terms. 1921 Amer. Jrnl. Bot. 8 281 Since the days of Linnaeus, names of plants have been binomial, [etc.].., but never monomial. 1973 Amer. Rev. Ecol. & Systematics 4 263 It should be pointed out that these superficially binomial expressions are seen as conceptually subordinate to their monomial counterparts. This entry has been updated (OED Third Edition, December 2002; most recently modified version published online March 2022). < n.adj.1706
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