You have to be careful with adjectives (and their associated o-forms) when they are prefixed with не-. Some such words have a pejorative meaning, correlating with English un-, e.g. неприїтный 'unpleasant' and others have a more positive connotation, like небольшћй 'not too large, rather small, modest.' To be safe, consult the dictionary.
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The word небольшћй is a good word to use in order to avoid the pejorative connotations of its near synonym мђленький 'little'. Compare:
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Ћн живёт в мђленьком дћме зђ городом.
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He lives in a little house outside of town. (The poor guy!)
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Ћн живёт в небольшћм дћме зђ городом.
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He lives in a modest house outside of town. (It's a nice place. Not too big, but nice.)
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Thus, some adjectives with не- are not truly negative, at least not in their connotation. The true negative particle не is written with a space:
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Егћ дћм не большћй, а мђленький.
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His house is not big, but little.
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У негћ небольшћй дћм зђ городом.
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He has a modest home outside of town.
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