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ms^-1 = m / s (converted to base units) ms^-1 = ms^-1 (rearranged) The LHS of the equation = the RHS. Thus, it is homogeneous.
However, if the equation is homogeneous, it doesn't necessarily mean the equation will be true. eg Volume of a sphere = (pi)r^3 This equation is homogenous, but we know that it isn't true, as it is missing the 4/3 before the (pi). I doubt if an equation being dimensionally consistent or not has anything to do with homogenity. Please confirm
Merging this article with "Invariant (physics)" has been proposed. I think there is some potential for a full article on the general subject. But I would hope to also keep this page, to simply define the word for quick reference from physics topics that use it. I intend to reference it for that purpose in upcoming writings. -- Chris Mid 20:41, 6 Jun 2005 (UTC)
I just made a big cleanup.
I think the article is now readable and useful, yet still a stub. Both issues need to be developed (in separate sections). But I think the { { merge...}} tag could be removed now. — MFH: Talk 15:48, 24 March 2006 (UTC)
this article is unreadable to a lay person such as my self. When giving examples to try and explain a concept it is better to give examples simpler then the thing trying to be explained, IMHO. —Preceding unsigned comment added by 68.120.227.160 ( talk • contribs)
Heterogeneous is the opposite of homogeneous and should be included. Hlunnb ( talk) 00:48, 15 September 2008 (UTC)
The introductory paragraph of this article does not seem to bear any relationship whatsoever to the rest of the contents. -- R'n'B ( call me Russ) 21:30, 11 September 2009 (UTC).
It seems to be more about the word rather than a topic. I added a "Dictionary" hatnote. Is there some topic we could salvage?