This Chinese compound word generally means destiny, fortune or fate. To be specific, mìng or destiny is as ordained by Heaven at one's birth, and yùn or fortune is the cycles or trends of time that influence our fortune (or luck), and together they constitute our fate.
Take the example of astrology, mìng or
destiny is the influence as shown in our natal chart, and yùn or
fortune is the influence of planetary transits and progressions, etc.
Another more explicit example is the Bazi
or Four Pillars Analysis where analysis according to the
Year, Month, Day and Time pillars is our mìng or
destiny, and analysis according to the ten year cycles and yearly cycles is our
yùn or fortune.