V2EX n-dimensional

N-Dimensional

释义 Definition

n-dimensional(n维的):指具有 n 个维度/自由度 的空间、向量、数据或数学对象,其中 n 是任意正整数(如 2 维、3 维,或更高维)。在数学、物理、数据科学中常用;也可泛指“多维度的”。

发音 Pronunciation

/n damnnl/

例句 Examples

An n-dimensional vector can store n numbers.
一个 n 维向量可以存储 n 个数字。

In an n-dimensional space, distance is often measured using a generalized form of the Pythagorean theorem.
在 n 维空间中,距离常用勾股定理的推广形式来度量。

词源 Etymology

n-dimensional 由字母 n(表示任意数量/未知数,常用于数学记号)+ dimensional(“维度的”,源自 dimension,意为“尺度、维度”)构成。该构词方式体现了科学写作中用符号代替具体数值的习惯,用来概括“任意维数”的情形。

相关词 Related Words

文学与名著中的用例 Literary Works

  • Edwin A. Abbott Flatland: A Romance of Many Dimensions(《平面国》):围绕“多维/更高维”的思想展开,常见对高维(可概括为 n 维)的讨论语境。
  • Douglas R. Hofstadter Gdel, Escher, Bach: An Eternal Golden Braid(《哥德尔、艾舍尔、巴赫》):涉及高维概念与抽象结构的讨论中常出现“n-dimensional”式表述。
  • Roger Penrose The Road to Reality(《现实之路》):在数学与物理的推导叙述里,经常使用“n-dimensional space”等标准术语。
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