3N+1猜想中同汇性研究和超级压缩迭代

Same-flowing numbers and super contraction iteration in 3N+1 conjecture

给出了关于 3N +1猜想中的同汇概念 ,建立了相关的几个定义及定理 ,这些定理的建立在对研究奇数2a +1(a∈Nd)的压缩迭代时可以转化为研究奇数a的首席叙拉古阶 ,从而在研究这一类奇数的压缩迭代时起到简化作用 .另外对 3a(a∈Nd)型奇数 ,构造出与 3a同汇的无穷数列 .

The concept of same-flowing numbers in 3N+1 conjecture was given. Some definitions and theories were set up. Research into contraction iteration of odd numbers 2a+1(a∈N_d) could be converted to research into Syracuse order of odd numbers a and contraction iteration simplified. Infinite sequence same-flowing to 3a(a∈N_d) was constructed. The concept of super contraction iteration and term formula of x was given.