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We thought at first that it was a misprint but it really seems that "orghogonal" or "orghonormal" (with a g) means something different from "orthogonal" or "orthonormal" (with a t). Do you know where we can find a precise definition ?

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I think it's a typo. It's probably rather more common than other typos, because the letters "t,h,g" are very close to each other on a standard keyboard. As a result, it actually does appear in the literature rather more often than you'd expect, and always without definition.

(As such, I believe this post qualifies as a legitimate research question and shouldn't be closed, despite the fact that it's about a trivial typographical error. Hilarious!)

For instance, here it is in a google books search result: http://goo.gl/aDvQR. It appears in the second page of an article in a collection of proceedings of a conference, without any definition. Elsewhere in the article it seems to be talking about orthogonality.

Of course I'd be happy to be proven wrong - probably the best thing to do is to contact someone who's used the word in print. Maybe they know what it means.

Edit: More evidence. http://goo.gl/gnqcl (compare the title to that of the pdf link), http://goo.gl/UUONh (previous sentence uses the word "orthogonal")

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If someone does contact a user of the word, please record the outcome as part of this answer either as an edit or a comment. – WetSavannaAnimal aka Rod Vance Jan 6 2012 at 11:32
I've been trying... haven't found an email address yet! – Benjamin Young Jan 6 2012 at 11:47

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