V2EX ln

Ln

释义 Definition

ln:自然对数的记号,表示以 e(约 2.71828) 为底的对数函数 **ln(x)**。常见于数学、物理、工程与统计中。(在少数语境中也可指 linelogarithm 等缩写,但最常见是“自然对数”。)

发音 Pronunciation (IPA)

/ln/

例句 Examples

The equation uses ln(x) to simplify the growth model.
这个方程使用 ln(x) 来简化增长模型。

In thermodynamics, the entropy change can involve terms like Rln(V/V), which connects macroscopic measurements to molecular behavior.
在热力学中,熵变可能包含 Rln(V/V) 这样的项,把宏观测量与分子层面的行为联系起来。

词源 Etymology

lnnatural logarithm(自然对数) 的缩写写法,用来区别于常用对数 log(在不同学科里底数可能不一致)。自然对数以常数 e 为底,在微积分与指数增长/衰减模型中尤其常见。

相关词 Related Words

文学与作品 Literary Works

  • Calculus(Michael Spivak):在讲解指数函数与对数函数的章节中频繁使用 ln
  • A Course of Pure Mathematics(G. H. Hardy):在分析与初等函数部分出现 ln 的标准记号用法。
  • Principia Mathematica(Isaac Newton):在后世整理与注释版本中,涉及对数与连续增长问题时常以 ln 作为现代记号呈现。
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