论文部分内容阅读
1.关于角谷猜想的推广据说,当年日本有一位中学生,他发现了一个奇妙的定理,但不能证明,于是他把定理寄给了角谷教授,而教授对此也无能为力.这便是角谷猜想.猜想颇具数学游戏的意味:请你任选一个自然数,如果是偶数,把它除以2;如果是奇数,把它乘3再加1.于是你得到一个新自然数.然后照上法继续演算,若干次后,得到的结果必定是1.例如:
1. Promotion of Kakugu Conjecture It is said that when there was a junior high student in Japan, he discovered a wonderful theorem but could not prove it. So he sent the theorem to Professor Kakuya, and the professor could not do anything about it. This is Kakugu’s conjecture. Guess the meaning of a math game: Please choose a natural number. If it is an even number, divide it by 2; if it is an odd number, multiply it by 3 and add 1. Then you get a new natural number. Then follow the method to continue calculus, After several times, the result obtained must be 1. For example: