Dictionary

polynomial en · ADJ

Pronunciation

• /ˌpɑliˈnoʊmiəl/ (US)
• (Southern-England) audio
• /ˌpɒlɪˈnəʊmɪəl/ (UK)

Etymology

From poly- + -nomial, from νομός (nomós, “portion, part”), by analogy with binomial.

Meanings

1. (not-comparable) Able to be described or limited by a polynomial.
2. (not-comparable) Of a polynomial name or entity.

Deriveds

nonuniform polynomial time · polynomialist · all-one polynomial · Zhegalkin polynomial · Touchard polynomial · complementary nondeterministic polynomial · separable polynomial · rook polynomial · quasipolynomial · cyclotomic polynomial · polynomial algebra · polynomial sequence · polynomial time-reduction · polynomial function · Bernoulli polynomial · Legendre polynomial · elementary symmetric polynomial · Laguerre polynomial · Pidduck polynomial · hyperbolic polynomial · Kazhdan-Lusztig polynomial · polynomiography · polynomial ring · Lucas polynomial · Lagrange polynomial · Jacobi polynomial · primitive polynomial · pseudopolynomial · homogenous polynomial · Hermite polynomial · Alexander-Conway polynomial · eigenpolynomial · polynomially · posynomial · polynomiality · polynomial reduction · ultrapolynomial · superpolynomial · Laurent polynomial · subpolynomial · Taylor polynomial · pseudo-polynomial time · polynomial time · characteristic polynomial · Fibonacci polynomial · polynomial equation · Conway polynomial · minimal polynomial · polynomial interpolation · nonpolynomial · Bernstein basis polynomial · polynomial complexity · Dickson polynomial · Abel polynomial · Maclaurin polynomial · polynomial-time reduction · Conway-Alexander polynomial · Jones polynomial · Boas-Buck polynomial · Alexander polynomial · polynomial basis · Bell polynomial · Taylor's polynomial · Macdonald polynomial · polynomialism · symmetric polynomial · Mittag-Leffler polynomial · Narumi polynomial · polynomial form

Translations (25)

ro polinomic (in algebra) · hu polinomiális (in algebra) · fr polynomial (in algebra) · pl wielomianowy (in algebra) · fr polynominal (in taxonomy) · fr polynominale (in taxonomy) · ru полиномиа́льный (in algebra) · tr polinom (in algebra) · fr polynomiale (in taxonomy) · ca polinomial (in algebra) · ru многочле́нный (in algebra) · vi đa thức (in algebra) · pt polinomial (in algebra) · af polinomies (in algebra) · th พหุนาม (in algebra) · it polinomiale (in algebra) · ro polinomial (in algebra) · sv polynomiell (in algebra) · de polynomisch (in algebra) · es polinomial (in algebra) · fi polynominen (in algebra) · cs polynomický (in algebra) · el πολυωνυμικός (in algebra) · es polinómico (in algebra) · fr polynomial (in taxonomy)

polynomial en · NOUN

Pronunciation

• /ˌpɑliˈnoʊmiəl/ (US)
• (Southern-England) audio
• /ˌpɒlɪˈnəʊmɪəl/ (UK)

Etymology

From poly- + -nomial, from νομός (nomós, “portion, part”), by analogy with binomial.

Meanings

1. (strict-sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰.
   • Unfortunately, an analogous attack on the octic polynomial becomes exceedingly complicated. 1999, William Dunham, Euler: The Master of Us All, Mathematical Association of America, published 1999, page 116:
   • Our upper bound is the best possible, and it implies the existence of low-rank factorizations of positive semidefinite bivariate matrix polynomials and representations of biforms as sums of few squares. 2016, Grigoriy Blekherman, Daniel Plaumann, Rainer Sinn, Cynthia Vinzant, “Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree”, in arXiv:
2. A taxonomic designation (such as of a subspecies) consisting of more than two terms.
3. A type of term consisting of multiple parts.
   • The same corpus is used as in the analysis of the thematic scope of polynomials, except that in this case only 720 binomes will be considered. 2025, Martina Jemelková, “Chinese Binomes: A Graphical or Phonological Construct?”, in Acta Linguistica Asiatica, volume 15, number 2, →DOI:
   • Alternatively, there are polynomials denoting stages of the day: tónglóng 曈昽 “ light at daybreak”; or meteorological phenomena, such as wùsōng 雾凇 “(soft) rime”, àidài 叆叇 “ (of clouds) dense”. 2023, Martina Jemelková, “On the Nature of Zero-Meaning Sinograms: Typology and Thematic Classification”, in Studia Orientalia Slovaca, volume 22, number 2:

Forms

Holonyms

rational function

Hyponyms

quadrinomial · homogeneous polynomial · quantic · Bernstein polynomial · trinomial · binomial · monomial

Translations (42)

tr polinom (algebraic expression) · pt polinômio (algebraic expression) · ja 整式 (algebraic expression) · fr polynôme (taxonomic designation) · fi polynomi (algebraic expression) · nl veelterm (algebraic expression) · vi đa thức (algebraic expression) · bg многочлен (algebraic expression) · pt polinómio (algebraic expression) · ml ബഹുപദം (algebraic expression) · tl damikay (algebraic expression) · my ကိန်းစုတန်း (algebraic expression) · is margliða (algebraic expression) · nl polynoom (algebraic expression) · ca polinomi (algebraic expression) · ro polinom (algebraic expression) · es polinomio (algebraic expression) · de Polynom (algebraic expression) · hy բազմանդամ (algebraic expression) · sv polynom (algebraic expression) · gl polinomio (algebraic expression) · ja 多項式 (algebraic expression) · bg полином (algebraic expression) · ru полино́м (algebraic expression) · th พหุนาม (algebraic expression) · az çoxhədli (algebraic expression) · et polünoom (algebraic expression) · hi बहुपद (algebraic expression) · cmn 多項式 /多项式 (algebraic expression) · da polynomium (algebraic expression) · hu polinom (algebraic expression) · cs polynom (algebraic expression) · pl wielomian (algebraic expression) · fr polynôme (algebraic expression) · ru многочле́н (algebraic expression) · ko 다항식 (algebraic expression) · no polynom (algebraic expression) · el πολυώνυμο (algebraic expression) · km ពហុធា (algebraic expression) · it polinomio (algebraic expression) · mi pūrau (algebraic expression) · af polinoom (algebraic expression)