Talk:Motor variable

Fundamental theorem of algebra for the perplexes

This seems an obvious consequence of the fact that they split into ²R, and the tessarines into ²C. Double sharp (talk) 11:59, 19 March 2016 (UTC)

The comment refers to the section motor variable#Polynomial factorization where a 2009 journal article is cited that has the same title as this section in Talk. Perhaps the consequence is obvious for some readers, but the authors of the article, their reviewers and editor saw fit to publish the article. Thus it is mentioned here in connection with functions of a split-complex number. — Rgdboer (talk) 20:16, 19 March 2016 (UTC)

OK, but if it is indeed that simple and I'm not overlooking anything (and your comment seems to indicate that it is so), then I think that a brief statement to that effect (summarising the proof the authors give) would be a warranted inclusion. Double sharp (talk) 17:17, 20 March 2016 (UTC)

@Double sharp: by the way it explains why are modern hypercomplex fans unhappy with Corrado Segre’s terms “bireal/bicomplex numbers” ☺ Incnis Mrsi (talk) 20:19, 2 June 2019 (UTC)

Who are these "modern hypercomplex fans" ? Terminology has followed composition algebra where the "bi" prefix indicates that ℂ is the base field for a Cayley-Dickson construction. — Rgdboer (talk) 22:16, 2 June 2019 (UTC)

"Rectangular region" is not rectangular

The region given by T = {z = x + jy : |y| < x < 1 or |y| < x − 1 when 1<x<2} is not rectangular, but is the same as two triangles stuck together. Is this meant instead: T = {z = x + jy : |y| < x < 1 or |y| < 2-x when 1<x<2} ? — Preceding unsigned comment added by Svennik (talk • contribs) 20:30, 10 June 2020 (UTC)

Thank you for noting this error. Has been corrected. — Rgdboer (talk) 05:19, 11 June 2020 (UTC)

Read and understood

The thesis of J.A. Emanuello shows that articles on this topic have been assimilated:

• J. A. Emanuello (2015) Analysis of functions of split-complex, multi-complex, and split-quaternionic variables and their associated conformal geometries, Ph.D. Thesis, Florida State University

The sources overlap (naturally) with this encyclopedia, but no mention of this site as a source! Rgdboer (talk) 19:16, 19 August 2021 (UTC)