Talk:Synergetics coordinates

From Wikipedia, the free encyclopedia

[edit] Notation

Can the notation Rⁿ⁺∪0 be made clear? Thanks. Oleg Alexandrov (talk) 06:35, 25 May 2008 (UTC)

R means the real number set; n is the dimension; + means positive numbers, and ∪0 means that set in union with 0, so it is the set {positive real numbers and 0} in n dimensions. If one has studied mathematical logic the notation should be clear; many other math articles use mathematical logic statements. But, if you think explanation should go in the article, feel free to add it. —Preceding unsigned comment added by Dchmelik (talk • contribs) 02:52, 29 May 2008 (UTC)

The notation I am familiar with is (the plus is down) Is this what you mean? Also, is not equivalent to R^{n − 1}, they have different dimensions. Oleg Alexandrov (talk) 04:47, 29 May 2008 (UTC)

In all my college math books & courses I have seen the positive subset to be noted with a superscript plus, but if notation varies around the world let us change the article. Reconsider your 2nd statement. R² is 2-dimensional reals, and can mean 2 axes, but 3 R⁺∪0 axes separated 120° is R²-space: i.e. it (R³⁺∪0) is equivalent to R², and the coordinates can be converted (one persona has called the synergetics coordinates ' polysign numbers;' their web page likely has explanation.)--Dchmelik (talk) 07:44, 31 May 2008 (UTC)

What you say about 120° is R²-space is not clear from the article, in fact I still don't understand what the article is about, and what you mean by synergetics coordinates. Oleg Alexandrov (talk) 16:23, 31 May 2008 (UTC)