multinomialadj.n.
/ˌmʌltɪˈnəʊmɪəl/, U.S. /ˌməltiˈnoʊmiəl/; see also multi- comb. form. Mathematics.
A. adj.
Consisting of or involving more than two terms connected by the signs + or − (cf. polynomial adj.): spec. (a) designating a theorem for finding the power of a general multinomial, (x1 + x2 + … +xi)n, without performing the successive multiplications (analogous to the binomial theorem for (x + y)n); (b) designating a frequency distribution analogous to the binomial distribution but applicable when there are more than two possible outcomes.
ΘΚΠ
the world > relative properties > number > probability or statistics > [adjective] > relating to distribution
multinomial1608
Poisson1839
Poissonian1894
cumulative1950
Weibull1955
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
1608 R. Norton tr. S. Stevin Disme: Art of Tenths sig. D Ptolome and Iohannes Monta-regio haue not described their Tables of Arches, Chords, or Sines, in extreme perfection (as possibly they might haue done by Multinomall numbers) [Fr. nombres multinomies].
1697 Philos. Trans. 1695–7 (Royal Soc.) 19 619 The infinite Number Multinomial.
1706 W. Jones Synopsis Palmariorum Matheseos 42 When the Dividend and Divisor are Multinomial Quantities..there may be a Common Multiplier of both.
1742 C. MacLaurin Treat. Fluxions II. 761 An investigation of the binomial and multinomial theorems.
1858 I. Todhunter Algebra for Schools xxxvii. §530 By applying the multinomial theorem to find the coefficients of other powers of x.
1904 Jrnl. Math. 2 478 The deficient multinomial expansion {x1 + x2 + x3 + …}p.
1968 P. A. P. Moran Introd. Probability Theory vii. 343 Show that in general the joint distribution of the Yi is not multinomial.
1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xix. 405 The generalization of the binomial theorem to the multinomial theorem.
B. n.
A multinomial 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
a1690 S. Jeake Λογιστικηλογία (1696) 294 Where the composition hath more than two parts, the Compound is called a Polynomial or a Multinomial.
1697 Philos. Trans. 1695–7 (Royal Soc.) 19 619 A Method of Raising an infinite Multinomial to any given Power... By Mr. Ab. De Moivre.
1742 C. MacLaurin Treat. Fluxions II. 608 Mr. De Moivre's theorem for raising a multinomial to any power of the index n.
1858 I. Todhunter Algebra for Schools xxxvii. §528 The expansion of the proposed multinomial.
1959 G. James & R. C. James Math. Dict. (ed. 2) 261/2 Multinomial theorem, a theorem for the expansion of powers of multinomials.
1989 Biometrical Jrnl. 31 297 This paper is concerned with the power behaviour of four goodness-of-fit test statistics in sparse multinomials with k cells.
This entry has been updated (OED Third Edition, March 2003; most recently modified version published online March 2022).
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adj.n.1608