1. 1二項式

    In school maths, a binomial is an expression made of two parts joined by plus or minus. 3x + 4y is a binomial. So is x − 7. Even 5 + 2 counts, because it still has two terms. One piece by itself, like 3x, is a monomial. Three pieces, like x² + 2x + 1, is a trinomial. Polynomial is the family name for these 'many-term' expressions; a binomial is the two-term kind. You meet binomials when you multiply them, and in the binomial theorem, a pattern for raising a two-part expression to a power, like (x + 1)⁵. The word belongs in the classroom and the textbook, not on the bus. Though actually, the same word walks into biology. Scientists name living things with two names, a group name and a species name: Homo sapiens. That two-name system is also called binomial, because the idea is 'two names'. If you see the word in a science book about animals, that is why; the maths sense is the one this entry is for. The history is a bit cloudy. Late Latin had binōmium; English added -al. A 12th-century translator, Gerard of Cremona, used the Latin word when working from Arabic on Euclid, matching a Greek phrase that means 'from two names'. Where binōmium itself came from, scholars are not sure — perhaps Latin nōmen, 'name', perhaps another path. On the surface, English now feels it as bi- 'two' + -nomial 'name/term'.

組成From Late Latin binōmium + -al. The exact root of binōmium is unclear (scholars have suggested Latin nōmen, 'name', among other ideas). What you can see on the surface is bi- 'two' + -nomial 'term/name'.

同家族的字

  • polynomialthe wider family of many-term expressions; -nomial is the shared piece
  • monomialone term only; same -nomial ending

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。

binomialadj/baɪˈnəʊ.mi.əl/

  • 1

    Consisting of two terms, or parts.

    • Finally, instead of returning to Chile’s traditional proportional representation system, the law adopted the “binomial” system, which gave strong incentives to the parties to form broad coalitions.
  • 2

    mathematicssciencesstatisticsOf or relating to the binomial distribution.

    • Assuming a normal approximation to binomial probabilities the proportion of total complications reported for 1979–85 in the age class 0–14 years was significantly higher than the proportion in the same age class for the period 1962–69 (p < 0·0001)

binomialnoun/baɪˈnəʊ.mi.əl/

  • 1

    algebramathematicssciencesA polynomial with two terms.

  • 2

    algebramathematicssciencesA quantity expressed as the sum or difference of two terms.

  • 3

    biologynatural-sciencestaxonomyA scientific name at the rank of species, with two terms: a generic name and a specific name.

    • Common name followed by Latin binomial in parentheses.

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。