The literal meaning of the word regards the completion of growth to the final form of something. This could be used in a sense towards anything in which age is a factor (the general meaning is positive, so usually used when the added age is a good thing), such as crop maturing and being ready for harvest. When used in reference to people, it takes a slightly different meaning. That being, usually of growth of the mind or the person (though it can be of the body as well). A 'mature' person would describe a person who has outgrown the inherent selfishness and ignorance of youth and view their associations and the world on a more communative basis. Responsible, though not a total synonym would be a word that could be closely related to mature in this sense.

I'd like to add that: A mature wine takes longer to make, often tastes better and is usually more expensive than other wines. A mature cheese takes longer to manufacture, it tastes and smells stronger than other cheeses. The opposite of mature is immature. A mature person is typically easier to work with than an immature person. Good question.

I talk you what is mature. In china its means is up to the bit.(听话)

mature enough to ask such a question ?

Mature basically means 成熟 in Chinese.