Talk:Field norm
 | This article is rated Start-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
| |||||||||||
what about the definition, norm on F is map from F to R satisfying:
1) N(a) = 0 iff a = 0 2) N(ab) = N(a)N(b) 3) triangle inequality
this is also called a "field norm" in some contexts. Revolver 12:19, 10 Nov 2004 (UTC)
Well, I don't think the terminology is very standard either way; but isn't that is more a valuation? Charles Matthews 12:34, 10 Nov 2004 (UTC)
- Yes, you're right. I've been reading Koblitz the past few weeks, and he uses the term "field norm" for "valuation", so that's probably why I thought this, but yes, valuation is more standard. Revolver 13:35, 10 Nov 2004 (UTC)
- No, sorry, doesn't use "field norm" for "valuation", not sure he uses anything for valuation. But I have seen "absolute value" or "valued field" for what you would call what you get from a valuation into the positive reals under multiplication, except the "ultra" part isn't required, (if that makes sense). Revolver 13:51, 10 Nov 2004 (UTC)
What we really need is a good treatment of topological field, then ...
Charles Matthews 17:32, 10 Nov 2004 (UTC)
Start a discussion about improving the Field norm page
Talk pages are where people discuss how to make content on Wikipedia the best that it can be. You can use this page to start a discussion with others about how to improve the "Field norm" page.
