V2EX legendre

Legendre

释义 Definition

Legendre(常作形容词或专有名词)指与法国数学家勒让德(Adrien-Marie Legendre)相关的概念,最常见于数学与物理中,如勒让德多项式(Legendre polynomials)、勒让德变换(Legendre transform)等。(在不同语境下还可指“勒让德”的人名本身。)

发音 Pronunciation

/lndr()/

例句 Examples

Legendre polynomials are widely used in physics and engineering.
勒让德多项式在物理和工程中被广泛使用。

In classical mechanics, the Legendre transform links the Lagrangian and the Hamiltonian formulations.
在经典力学中,勒让德变换把拉格朗日形式与哈密顿形式联系起来。

词源 Etymology

该词源自法国数学家Adrien-Marie Legendre(1819世纪)的姓氏;许多以他命名的工具与对象(如多项式、微分方程、变换)后来成为数学与理论物理中的标准术语。

相关词 Related Words

文学与名著中的用例 Literary Works

  • Classical Electrodynamics(J. D. Jackson) 在球坐标展开与势函数处理中常出现勒让德多项式
  • Mathematical Methods for Physicists(Arfken, Weber & Harris) 正交函数与特殊函数章节常用到 Legendre 函数/多项式
  • Methods of Theoretical Physics(Morse & Feshbach) 分离变量与边值问题中频繁出现 Legendre 相关函数
  • Table of Integrals, Series, and Products(Gradshteyn & Ryzhik) 收录并使用 Legendre 相关积分与级数公式
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