1. 1多項式

    In school maths, a polynomial is a group of pieces written with + or − between them. Each piece is a number, or a number times a letter, or a number times a letter with a small whole-number power, like 3x² + 2x − 1. The letter is only a stand-in for a number you have not chosen yet. People also talk about a polynomial equation, when that whole group is set equal to something — though actually the polynomial itself is the group of pieces, not the “equals” part. You can use the word as an adjective too: a polynomial function is a function built this way. It is classroom language from junior high up, not a word you need in the shop. A polynomial may have one piece or many; the name just says the pieces are of this special kind.

組成poly- (many) + -nomial, from Greek nomós, “portion, part”, built on the same pattern as binomial.

同家族的字

  • binomialsame -nomial piece; bi- means two parts instead of many
  • monomialsame -nomial piece; one term instead of many

原始詞典資料5 筆記錄

以下是外部詞典記錄的用法,摘錄並精簡格式,我們還沒有寫成教學內容。上面的說明才是我們自己寫的;有些用法可能上面已經講過了。

polynomialnoun/ˌpɒlɪˈnəʊmɪəl/

  • 1

    algebramathematicssciencesAn 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

    biologynatural-sciencestaxonomyA taxonomic designation (such as of a subspecies) consisting of more than two terms.

  • 3

    human-scienceslinguisticssciencesA 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.

polynomialadj/ˌpɒlɪˈnəʊmɪəl/

  • 1

    algebramathematicssciencesAble to be described or limited by a polynomial.

  • 2

    biologynatural-sciencestaxonomyOf a polynomial name or entity.

摘錄自 英文維基詞典 English Wiktionary,已精簡格式;依 CC BY-SA 4.0 授權使用,改動後的內容同樣以此授權提供。