This is the talk page for discussing improvements to the Legendre transformation article. This is not a forum for general discussion of the article's subject.

Put new text under old text. Click here to start a new topic. New to Wikipedia? Welcome! Learn to edit; get help. Assume good faith Be polite and avoid personal attacks Be welcoming to newcomers Seek dispute resolution if needed Article policies Neutral point of view No original research Verifiability

Find sources:  Google ( books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL

Archives: 1Auto-archiving period: 30 days

This article is rated C-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects:

Mathematics Mid‑priority This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics articles Mid This article has been rated as Mid-priority on the project's priority scale. Physics Start‑class Mid‑importance This article is within the scope of WikiProject Physics, a collaborative effort to improve the coverage of Physics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.PhysicsWikipedia:WikiProject PhysicsTemplate:WikiProject Physicsphysics articles Start This article has been given a rating which conflicts with the project-independent quality rating in the banner shell. Please resolve this conflict if possible. Mid This article has been rated as Mid-importance on the project's importance scale.

Archives

Archive 1

This page has archives. Sections older than 30 days may be automatically archived by Lowercase sigmabot III when more than 5 sections are present.

The exposition quite closely follows the reference Rockafellar. I hope this is not a copyright problem. —the preceding unsigned comment is by 84.239.128.9 ( talk •  contribs) 09:26, 31 October 2005 (UTC1)

Does anybody know how the property

${\displaystyle f(x_{1},\dots ,x_{N})=g(x_{1})+\cdots +g(x_{N})\;\Rightarrow \;f^{\star }(p_{1},\dots ,p_{N})=g^{\star }(p_{1})+\cdots +g^{\star }(p_{N})}$

is refered to in the literature? —the preceding unsigned comment is by Tobias Bergemann ( talk •  contribs) 12:12, 13 December 2005 (UTC1)

In the definition, I would switch the ${\displaystyle x^{*}}$ to ${\displaystyle \varphi }$ (or something else) for clarity. Hvstms ( talk) 10:48, 19 September 2023 (UTC) reply

The definitions provided are phrased in a confusing way, with the domain of the function ${\displaystyle f_{*}}$ depending on ${\displaystyle f_{*}}$ itself. One can avoid this by saying, for example, 'defined where this supremum is finite', or simply by repeating the function's definition in the definition for ${\displaystyle I_{*}}$, ie ${\displaystyle I_{*}=\{y\in \mathbb {R} :\sup _{x\in \mathbb {R} }\{xy-f(x)\}<\infty \}}$. Happy to make this edit myself if others agree, but this is not my area of expertise and if this circularity is common in related texts and papers it probably makes sense to keep it here. Corlio5994 ( talk) 06:16, 16 March 2024 (UTC) reply