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单词 quadrinomial
释义

quadrinomialadj.n.

Brit. /ˌkwɒdrᵻˈnəʊmɪəl/, U.S. /ˌkwɑdrəˈnoʊmiəl/
Origin: Formed within English, by compounding. Etymons: quadri- comb. form, -nomial comb. form.
Etymology: < quadri- comb. form + -nomial comb. form.
A. adj.
Having or using four names; (Mathematics) consisting of four algebraic terms joined by signs of addition or subtraction.
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
1673 J. Kersey Elements Math. Art ii. i. 137 These Compound quantities, a + b + c, a - b - c; and the like, may be called trinomial Roots, because each of them consists of three Names or parts: and a + b + c + d a quadrinomial Root.
1717 A. Sharp Geom. Improv'd 96 It now appears how operose and tedious the Management of these Quadrinomial Surds must necessarily be.
1799 C. Butler Easy Introd. Algebra 118 The cube of the binomial quantity a + b, will be equal to the quadrinomial quantity a3 + 3a2b + 3ab2 + b3.
1866–99 W. R. Hamilton Elem. Quaternions (ed. 2) I. 245 The principal use which we shall here make of the standard quadrinomial form.
1917 Amer. Naturalist 51 185 Such a practise..would lead either to an endless multiplication of sub-species, or else to the introduction of quadrinomial names.
1994 Publ. Res. Inst. Math. Sci. (Kyoto Univ.) 30 17 The relations are not exhausted by binary relations such as Serre relations; we also need trinomial and quadrinomial relations.
B. n.
Mathematics. A quadrinomial expression.
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
1673 J. Kersey Elements Math. Art ii. ix. 229 If a Quadrinomial consisting of four simple square Roots connected by +, or by + and −, be multiplied by the same Quadrinomial after two signs + are changed into −, or two signs − into +, the Product will consist of three Names, (or Parts;).
1702 J. Harris New Short Treat. Algebra 114 If the Divisor be a Binomial, Trinomial or Quadrinomial,..reduce that given Divisor to a new Divisor that may be a Simple Rational Quantity.
1827 O. Gregory Hutton's Course Math. (ed. 9) I. 167 When the compound quantity consists of two terms, it is called a Binomial,..when of four terms a Quadrinomial.
1898 Trans. Amer. Math. Soc. 2 188 We require only to reiterate, for quadrinomials..the statements that are valid for trinomials.
1928 Amer. Math. Monthly 35 324 Substitute these values of p, q, r, and s in the like-producing quadrinomial.
1984 Acta Arithmetica 43 426 The first..gives a necessary condition for a quadrinomial to have a reciprocal factor.
This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022).
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adj.n.1673
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