Talk:Hausdorff distance

message: The remark is not that important. If d(X,X) > \epsilon, then it is true that X \subseteq Y_\epsilon. It is just like expecting y to belong to B(x), the ball with radius 1 centered at x, just because d(x,y) = 1. André Caldas (talk) 20:03, 12 May 2015 (UTC)
thread_title:  Is distance in the remark wrong? 

message: Getting a symmetric function is not the only point for going from d to d_H.
d(X,Y)=0 iff X\subset Y as well, so that d_H(X,Y)=0 iff X=Y as required. Would someone make a nice edit? 89.180.15.198 (talk) 10:37, 7 July 2008 (UTC)
replies: text: .  --Lambiam 02:10, 12 July 2008 (UTC)
thread_title:  Re the motivation for the definition 

message: Is it possible to have links to localized pages when appropriate?
For instance, this article have corresponding Russian page Метрика Хаусдорфа and Italian page Distanza di Hausdorff.
I am sure that lots of math articles have variants in other languages.
Arkadi kagan (talk) 07:28, 17 May 2009 (UTC)
replies: text: The link exists already.  When you look the article page, it appears normally on the left, far down the Wikipedia image.  You can also see it (and possibly modify) in the "source" of the article page, by clicking on "edit this page" and moving to the very bottom on the page contents. --Bdmy (talk) 07:44, 17 May 2009 (UTC)
thread_title:  Link to localized pages 

message: It might be wise to state in the Remark on the Definition that this article adheres to the notation \mathbb{N} as the set of strictly positive integers, in contrast to the positive integers which would result in a Hausdorff distance of \infty. Both definitions are found in literature, see http://mathworld.wolfram.com/NaturalNumber.html, so it seems necessary to disambiguate. ikingut 15:30, 12 June 2014 (UTC)
thread_title:  Definition of natural number 

message: Hello fellow Wikipedians,
I have just added archive links to  on Hausdorff distance. Please take a moment to review my edit. You may add  after the link to keep me from modifying it, if I keep adding bad data, but formatting bugs should be reported instead. Alternatively, you can add  to keep me off the page altogether, but should be used as a last resort. I made the following changes:
*Attempted to fix sourcing for http://www-math.mit.edu/phase2/UJM/vol1/HAUSF.PDF
When you have finished reviewing my changes, please set the checked parameter below to true or failed to let others know (documentation at ).
Cheers.—cyberbot IITalk to my owner:Online 19:19, 28 March 2016 (UTC)
thread_title:  External links modified 

message: "If X is a subset of Y then d(X,Z) >= d(Y,Z)" is just false for general Z. E.g., take Z=X; then this says d(X,X) >= d(Y,Z); the LHS is zero and this is true only when Y happens to be "the same as" X (more precisely: same closure). I'm not just removing this because (1) right now I'm away from my usual computer and am not logged in, and I don't want to make significant changes without accountability, and (2) maybe there's some not-wrong thing that this was intended to say. (I think _probably_ not.) So for now I'm just leaving this comment here and also on the talk page of the user who added that bit (https://en.wikipedia.org/w/index.php?title=User_talk%3ABongobums#Hausdorff_distance_property). Gareth McCaughan  — Preceding unsigned comment added by 15.90.166.11 (talk) 13:06, 5 January 2024 (UTC)
replies: text: Yes, you are right. Thank you for pointing that out! Next time I will check my claims more thoroughly before I post them on the wiki. Bongobums (talk) Bongobums (talk) 08:33, 24 January 2024 (UTC)
thread_title:  False claim under "Properties"