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polynomial

adjective

No English definition recorded for this entry.

L339380 on Wikidata ↗

noun

  1. sum of multiples of powers of a variable
L41205 on Wikidata ↗

Wiktionary

Pronunciation: /ˌpɒlɪˈnəʊmɪəl/ / /ˌpɑliˈnoʊmiəl/

adj

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

  1. Able to be described or limited by a polynomial.
  2. Of a polynomial name or entity.

noun

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

  1. 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.

    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.

  2. A taxonomic designation (such as of a subspecies) consisting of more than two terms.
  3. A type of term consisting of multiple parts.

    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”.

    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.