Jump to content

Talk:Quaternionic analysis

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia
This is an old revision of this page, as edited by Rschwieb (talk | contribs) at 15:06, 4 January 2013 (Renaming the article to "Quaternionic analysis": new section). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
WikiProject iconMathematics Start‑class Low‑priority
WikiProject iconThis article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
StartThis article has been rated as Start-class on Wikipedia's content assessment scale.
LowThis article has been rated as Low-priority on the project's priority scale.

Question

What is the "R" under the limit symbol in the definition of the Gateaux derivative? — Preceding unsigned comment added by 133.86.80.122 (talk) 02:10, 4 June 2012 (UTC)[reply]

The R means that t is restricted to the real line. As the text says, "h shows the direction" in which the derivative is taken; for emphasis the R was included by an editor to limit the range of t.Rgdboer (talk) 23:40, 4 June 2012 (UTC)[reply]

Renaming the article to "Quaternionic analysis"

Sometime soon, I hope to rename the article to "Quaternionic analysis". I had considered "quaternion analysis," however google scholar seems to indicate that the former is more highly used. This is an improvement from "quaternion variable" according to the WP naming guidlines for the following reasons:

  • Recognizability/Naturalness: "quaternion variable" is just a hacked-off version of "function of a quaternion variable," and is not likely to be the phrase people use to search. It does not turn up relevant hits like "quaternionic analysis" does.
  • Consistency: "complex variable" redirects to complex analysis, and "real variable" redirects to a stub which is basically a redirect to real analysis, so to follow this pattern it would be more sensical to use "quaternionic analysis"

Redirects for "quaternion variable" and "quaternion analysis" would definitely be part of the plan. Feedback welcome. Rschwieb (talk) 15:06, 4 January 2013 (UTC)[reply]