Talk:Bramble–Hilbert lemma

message: I've never been to math camp but would like to know what a lemma is, what it does and why is it important. If anyone can introduce me to it in lay language, that'd be way cool. Julia Rossi 11:00, 1 November 2007 (UTC)
replies: text: Never mind, I identified it and contextualised it with a see also section.Julia Rossi 22:19, 1 November 2007 (UTC)

text: Lemma is an auxiliary mathematical statement that is useful to prove other things but is not primarily of interest by itself. Thus, error estimates for finite elements are theorems; lemmas help us get there. In parallel to programming, the whole product would be a theorem, while library subroutines would be lemmas. In a way, if you call something lemma or theorem or proposition is a matter of taste. Jmath666 23:32, 1 November 2007 (UTC)

text: Actually, I did not delete your edits, I appreciate them and incorporated your ideas in a hopefully a better way, look at the diff. Your "See also lemma" has become wikilink "lemma" on top, and your "See also List of theorems" has become "category:Lemmas".   Now lemma explains exactly what I said in other words. There are many pages with this or that lemma; none of them is the proper place for a general discourse of what "lemma" means. You can edit lemma if you like to get into that. Regarding "BH lemma ... is a theorem" that sounds weird, because theorem is not a more general term than lemma, just a different word for the same. A more general term would be proposition or statement or result, or, in this context, estimate. (That's how mathematicians use those words. Sorry. Can't change that. ) But why make the sentence more complicated and longer? Besides the grammar of the sentence with the added word "theorem" was wrong. Jmath666 04:07, 4 November 2007 (UTC)

text: In fact "see also" linking to lists of lemmas and theorems would not be a bad idea but 1. such lists are generated by the category mechanism automatically which is way better and 2. are you going to do it for all pages with lemmas or theorem? No. 1 is really an issue for Wikipedia_talk:WikiProject_Mathematics. Thanks for bringing this to my attention. And no, I am aware of the danger of becoming a fierce defender of some page and try not to. Jmath666 04:29, 4 November 2007 (UTC)
replies: text: "2. are you going to do it for all pages with lemmas or theorem?" Do I have to? "Grammatically wrong". "I am aware of the danger of becoming a fierce defender of some page and try not to". Hmmm. C ya. Julia Rossi 07:19, 4 November 2007 (UTC)

text: "is a theorem named after James H. Bramble and Stephen R. Hilbert, bounds the error of an approximation of a function" Ok I missed the comma. It is run-on sentence anyway. Jmath666 12:27, 4 November 2007 (UTC)
thread_title:  lemma dilemma 

message: The constant is made dependent of the whole domain. I suppose it should only depend on the dimension of the domain, because otherwise, the introduction of the power of the diameter of the domain has vacous meaning. --131.220.99.58 (talk) 13:56, 30 October 2011 (UTC)
thread_title:  Dependence of the constant 

message: Where is the definition of the d parameter used in the definition of chunkiness? Kakila (talk) 21:13, 28 September 2023 (UTC)
thread_title:  a constructive proof