Talk:Envelope theorem

Latest comment: 7 months ago by 98.156.185.48 in topic Explain "envelope"


Unclear, rambling definition

edit

In the first paragraph there needs to be an explicit statement of the theorem. "The Envelope theorem sates that..."

128.193.8.98 (talk) 09:36, 21 March 2012 (UTC)Reply

could max be replaced by sup? 71.225.92.12 02:44, 29 October 2007 (UTC)Reply

I don't believe so. One of the ideas behind Envelope theorem is the explanation of how a maximum changes as those parameters that characterize it change. Perhaps subtly, this is different than a supremum. max entails finding that value of x in the domain which maximizes the objective function subject to a constraint, whereas sup would entail finding the least upper bound of a set (although some envelope theorem problems could likely be restated in terms of finding the sup of a subset of the domain, but this would be quite a different formulation). In this article, max is used correctly Bsdlite (talk) 04:50, 29 May 2008 (UTC)Reply

There should at least be an attempt at providing an explanation suitable for an undergrad-level student (and not "top US uni" undergrad) before proceeding to the more complex part of the article. --Santiagoafonso (talk) 14:28, 30 September 2022 (UTC)Reply

Explain "envelope"

edit

A sensible addition, I think, would be an explanation of what this theorem has to do with an "envelope" of functions (ie, explain the name). TBH, I have only a vague understanding of this, so I haven't made a stab.

Danm1130 (talk) 17:25, 16 March 2008 (UTC)Reply

Yes, It would be great if someone talked about why this was called the envelope theorem and also included a proof. 203.167.251.186 (talk) 02:36, 29 January 2010 (UTC)Reply
I will try to add this information. The proof is simple and instructive. 219.89.240.49 (talk) 01:58, 30 January 2010 (UTC)Reply

i tried explaining why is it called an envelope . will keep adding more. — Preceding unsigned comment added by Zenith ay (talkcontribs) 07:06, 20 September 2011 (UTC)Reply

I would appreciate to see a labeled diagram depicting this "envelope".98.156.185.48 (talk) 22:06, 7 April 2024 (UTC)Reply

Author(s)

edit

Who first proved those results and were?Lbertolotti (talk) 10:45, 19 March 2013 (UTC)Reply

New material

edit

I've reverted this edit ([1]) because it removed the lead etc, but there may be some material in that edit that could be used. DexDor (talk) 12:41, 27 April 2013 (UTC)Reply