二进制数与不等式的证明及推广

The proof and of the binary numeration system and the inequalities

二进制数常用来在电子计算机内部进行计数和运算,除此之外,在数学的其它领域中似乎与我们接触不多。研究发现在初等数学乃至高等数学中,也有它奇妙的应用。文中探讨了它在不等式的证明与推广中的应用。

The binary numeration system is usually used to count numbers and to calculate in (computers), while it is not used in other fields of mathematics.The authers have found that this system can be applied very nicely in preliminary and even advanced mathematics after a long-term research.Based on a specific example,the application of the system in the proof and generalization for (inequalities) has been discussed.