Talk:Mean width

Changed definition[edit]

I have removed the term 'dimension length' from the definition as it is meaningless in general English. If this is some technical term it should follow in a more technical definition. uric1977 (talk) —Preceding undated comment added 09:55, 16 November 2016 (UTC)[reply]

MERGE WITH Hadwiger's theorem[edit]

The showed definition only has meaning with Hadwiger's framework: is not the intuitive "average width of the shape". There are no practical use of the Hadwiger's definition, that use perimeter as reference. In Applied Mathematics the "mean width" is a function of area. — Preceding unsigned comment added by 187.121.201.141 (talk) 09:27, 13 October 2012 (UTC)[reply]

I haven't found any sources for the definition given above by 187.121.201.141, and used as the basis of an edit to the article. Furthermore, the other edit made by 187.121.201.141 appears to make an incorrect claim: the mean width of a two-dimensional convex body corresponds to the 'diameter' (not the radius) of a circle with the same perimeter. I have corrected the inaccurate statement, and undone the other edit as unsourced and not relevant to the subject of the article. Robin S (talk) 16:58, 5 February 2013 (UTC)[reply]

Lead section needs clarification[edit]

In the lead section:

•Does the second equation need a dn^ at the end of the integral?

•Can someone clarify what it means to take an average over all directions n^?

Thanks. 208.50.124.65 (talk) 13:48, 28 June 2014 (UTC)[reply]