勒壤得转换 Legendre transformation
（重定向自Legendre transform）
勒壤得转换（Legendre transformation或Legendre transform）。为一个在数学物理中常见的技巧。在物理中应用在热力学与古典力学中。
Legendre transform
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Legendre transformation 勒壤得转换
（重定向自Legendre transform）
![The function f(x) is defined on the interval [a, b]. The difference px − f(x) takes a maximum at x'. Thus, f*(p) = px' − f(x').](/uploads/202501/23/Legendre_transformation4036.png)
In mathematics and physics, the Legendre transformation or Legendre transform, named after Adrien-Marie Legendre, is an involutive transformation on the real-valued convex functions of one real variable. Its generalization to convex functions of affine spaces is sometimes called the Legendre–Fenchel transformation.
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