hyphenationmathematicsorthographyprefixes
Is there a convention when to attach the prefixes non- and anti- to mathematical terms using a hyphen and when without?
One uses non-zero but also noncommutative.
Likewise for anti-. I no longer know which is correct – anti-isomorphism or antiisomorphism, anti-isometry or antiisometry.
I think you will find counterclockwise to be most often unhyphenated and anti-clockwise/anticlockwise to be as often hyphenated as not (and it appears that the unhyphenated version is gaining traction)
EDIT: A little more evidence (note that counter clockwise shows hits for both counter clockwise and counter-clockwise, and the same for anti clockwise) to clear up the issue.
It appears to me that the unhyphenated form "wins" for both words.
Best Answer
As with most issues involving English spelling, there is no right or wrong here, only preferences that vary substantially by region, by publisher, and by writer, so much so that is easy, maybe even trivial, to find living counterexamples of any posited general rule here.
But in general, British publishers tend to be more tolerant of the hyphen than American publishers tend to be. Many American publishers forbid the hyphen except when the word following is capitalized, as in anti-American or anti-Semite, or when you would form two vowels in collision, as in anti-immigration. (You never seem to see antiïmmigration, though; it almost looks like someone has smudged the page in this font.)
Otherwise American publishers tend to prefer versions like nonnative, nonnaturalized, nonzero, antilogarithm, antiperiodic, antisocial, antitrust. However, with individual writers not forced to conform to any particular style guide, usage varies.