Herbert Weir Smyth, A Greek Grammar for Colleges

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[*] 2734. The participle with the article has οὐ when a definite person or thing is meant, but μή when the idea is indefinite and virtually conditional (whoever, whatever); and when a person or thing is to be characterized (of such a sort, one who; 2705 g). Cp. 2052.

““οἱ οὐκ ὄντες” the dead” T. 2.44, οἱ οὐκ ἐθέλοντες the particular persons (or party) who are unwilling Ant. 6.26, ““οἱ οὐ βουλόμενοι ταῦτα οὕτως ἔχειν” the party of opposition” And. 1.9; ““οἱ μὴ δυνάμενοι” any who are unable” X. A. 4.5.11 ( = οἵτινες μὴ δύνανται or ὅσοι ἂν μὴ δύνωνται), ““ὁ μὴ δαρεὶς ἄνθρωπος οὐ παιδεύεται” he who gets no flogging gets no training” Men. Sent. 422, ““ὁ μὴ λέγων ἃ φρονεῖ” the man who does not say what he thinks” D. 18.282, ὁ μηδὲν ἀδικῶν οὐδενὸς δεῖται νόμου he who does no wrong needs no law Antiph. 288.