V2EX euclidean

Euclidean

定义 Definition

“Euclidean” 指“欧几里得的;欧氏几何的”,通常用来描述基于欧几里得《几何原本》建立的经典几何体系(如平面上两点确定一条直线、平行公设等)。在现代语境中也常用于“欧氏空间/欧氏距离”等数学概念。(另有更广义的“与欧几里得式几何相关的”用法。)

发音 Pronunciation (IPA)

/jukldin/

例句 Examples

Euclidean geometry is taught in most schools.
欧几里得几何在大多数学校都会教授。

The algorithm compares points using Euclidean distance in a high-dimensional space.
该算法在高维空间中使用欧氏距离来比较点与点之间的差异。

词源 Etymology

来自“Euclid(欧几里得)+ -ean(……的)”。Euclid 是古希腊数学家欧几里得的拉丁化名称;“-ean”是英语中表示“属于……的/与……相关的”的形容词后缀,因此 Euclidean 字面义为“欧几里得的”。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Elements Euclid(《几何原本》:后世讨论“Euclidean geometry/欧氏几何”的源头著作)
  • Flatland: A Romance of Many Dimensions Edwin A. Abbott(《平面国》:常以欧氏几何与维度概念为背景展开)
  • Geometry David Hilbert(《几何基础》:对欧氏几何进行公理化与严密化讨论,频繁出现 “Euclidean”)
  • A Brief History of Time Stephen Hawking(《时间简史》:涉及“欧几里得空间/Euclidean space”等表述)
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