Collatz Conjecture is Proved in this Article

First, it is necessary to expound certain of basic concepts relating to prove this conjecture, after that, the author applies the mathematical induction to complete this proof. Also, before the beginning of this proof, prepares several judging criteria, so as to use them in following classified proofs after operations according to the operational rule. After accomplish proofs of certain of stepwise classification for integers, emphatically proves 15+12c and 19+12c, so the entire proof for the conjecture was finished.