Talk:Uniform norm

message: --171.65.37.29 (talk) 21:24, 14 April 2017 (UTC)
thread_title: Notation suggests <math>L^\infty</math> norm, which is not accurate

message: This seems to be a special case of the uniform norm. So, how about putting it all on one page?
Charles Matthews 17:44, 16 Sep 2004 (UTC)
replies: text: I now added in a mention to maximum norm on uniform norm. Let me know if you're still confused about the relation between the supremum and maximum, because then I should explain it better. -- Jitse Niesen 14:11, 20 Sep 2004 (UTC)
replies: text: I think that the term sup norm is quite frequently used for finite and infinite dimensional case. I just created that page as a redirect - since it means supremum norm, I made it point here, but this page is not very nice for beginners - while the page Chebyshev distance is not only a perfect stub, but also this name is less common (IMHO) and not so well chosen (at least if one wants to speak of the norm and not of the distance). — MFH:Talk 13:50, 23 March 2006 (UTC)
thread_title: Moved from "Talk:Maximum norm"

message: First, the best thing we can do is to not assume the reader nows much. Therefore, we should define or state everything in the definition of sup norm leaving no susceptibility to confusion, such as that |f(x)| in the curly brackets means the absolute value of f(x) which one could possibly, though quite unlikely, confuse to be the norm of f(x) so then the sup norm to them would mean a norm of the norm of f(x). 
Also, after the mathematical definition of the sup norm is given, I think it should be pursued by an explanation explaining  exactly what the sup norm is (or does). For example one could say, the sup norm, "it first computes all the f(x)'s and takes their absolute values, then the highest absolute value of f(x) namely |f(x)| is taken to be the sup norm." One could also add that the step of taking the highest absolute value of f(x) is incurred by the function sup{ } and then add a link to "sup{ }".
Finally, I also find that there should be few different examples along with a few geometrical illustrations of sup norms in different spaces to engender others to have a more visual understanding of the sup norm, so that they are not left with simply an abstract notion of the sup norm, and thus that it may then, dawn upon them, that the sup norm is one of the most easiest things ever.--Gustav Ulsh Iler (talk) 01:04, 21 October 2009 (UTC)
thread_title:  Please do not assume because it makes an ... of you and me. Examples, illustrations and physical meaning/interpretation. 

message: I have heard that the infinity norm has applications in integer programming (which currently has a very poor Wikipedia article). Maybe this application can be discussed in this article. Bender2k14 (talk) 02:55, 29 August 2010 (UTC)
thread_title: Applications to Integer Programming

message: Given that ||x||_p=(|x_1|^p+\dots+|x_n|)^{1/p}, where can one find a proof that the infinity norm is, in fact, the maximum of the absolute values? That is, I'd like to understand how \lim_{p\to\infty}(|x_1|^p+\dots+|x_n|)^{1/p}=\max\{|x_1|,\dots,|x_n|\}. Rudin does not get into that in the page mentioned in the references. Surement (talk) 02:13, 26 December 2012 (UTC)
thread_title:  Proof