polynomial

plural polynomials

1. strict sensealgebraAn 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

   1 more example

   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. biologyA taxonomic designation (such as of a subspecies) consisting of more than two terms.
3. human sciencesA 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

   1 more example

   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

1. not comparablealgebraAble to be described or limited by a polynomial.
2. not comparablebiologyOf a polynomial name or entity.