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Used in the sense of no or none, to show lack of or failure to perform; or in the sense of not, to negate the meaning of the word to which it is prefixed.
nonabiding is the practice of avoiding mental constructs during daily life, nonacceptance is a neglect or refusal to accept, nonaccumulative is tending to avoid accumulation
nonaccent is a spoken accent that is neutral and undistinctive; nonacrocentric is having the centromere near the middle, and thus having roughly equal-sized arms; nonaccent is an unaccented beat or syllable, as in music or poetry
Non- may be joined to a word with a hyphen, standard in British usage as evidenced by OED's typically including only the hyphenated forms, but some OED entries are spelled without hyphen only. In American usage, non- is often joined without a hyphen. (For example, nonbaseball is relatively common, but noncricket, referring to a primarily British sport, is rare.) Some non- words rarely or never use a hyphen (such as nonentity). By contrast, un- is almost always spelled without a hyphen. GPO manual item 6.29. recommends to spell non- prefixed words without a hyphen unless an overriding consideration applies.
For combinations with capitalized words such as proper nouns and some adjectives, hyphen is almost always used, e.g. non-Aristotelian or non-English. This matches GPO manual recommendation.
Semantically, non- suggests objective quality and logical opposition (hence ungradable), whereas un- suggests subjective quality and polar/diametric opposition (often gradable).
Meaning "not" in phrases taken from Latin and some other languages, non is a separate word and is not hyphenated: non compos mentis, persona non grata.
As non- is a living and highly productive prefix, the list of words having the prefix non- is practically unlimited: Wiktionary currently has over 9000 such word forms. It is particularly common in the sciences.
non-: Used in the sense of no or none, to show lack of or failure to perform; or in the sense of not, to negate the meaning of the word to which it is prefixed.