V2EX linear order

Linear Order

释义 Definition

线性顺序;线性序(全序的一种):指元素按“一条线”排成先后次序的排列方式,常见于日常排序(先后、前后)以及数学/逻辑中的线性(全)序关系:任意两个元素都可以比较出先后(如 \(ab\))。

发音 Pronunciation (IPA)

/lnir rdr/

例句 Examples

The steps must be followed in linear order.
这些步骤必须按线性顺序执行。

In linguistics, linear order can influence meaning, even when the same words are used.
在语言学中,即使使用相同的词,线性顺序也可能影响意义。

词源 Etymology

linear 来自拉丁语 linea(“线、线条”),引申为“像线一样的、按一条线展开的”;order 来自拉丁语 ordo(“排列、秩序、顺序”)。合起来 linear order 字面义即“沿一条线的排列”,后来在数学与逻辑中固定用来指“可完全比较的顺序(全序)”。

相关词 Related Words

文学与名著用例 Notable Works

  • Noam Chomsky, Syntactic Structures(讨论句法与词序时常涉及“线性顺序/linear order”的概念)
  • Douglas R. Hofstadter, Gdel, Escher, Bach(涉及逻辑、结构与序关系时会提到“order/ordering”,并可见“linear order”相关表述)
  • Bertrand Russell & Alfred North Whitehead, Principia Mathematica(在关系与序的语境中使用“order/ordering”,并包含与线性(全)序相近的讨论)
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