According to that algorithm, this article puts forward a formula to calculate the number of movements necessary for the 4-peg Hanoi Tower problem, and proves it using mathematical induction.
本文按照这种算法总结出完成四柱汉诺塔游戏之最少步数的公式，并用数学归纳法证明了它。
This paper proves an inequality based on a positive function with mathematical induction and demonstrates its application with examples.
利用数学归纳法证明了一个关于正值函数的不等式，并举例说明了其应用。
A simple recursion relation is derived by means of the mathematical induction to calculate the frequencies of the complete transmission peaks.
用数学归纳法得到了简单的迭代关系式用以计算多个完全透射峰的频率。
The mathematical induction is used to prove the correctness of the algorithm towards the triangle mesh of random multi-points, and the experiment proves its feasibility.
利用数学归纳法证明算法对任意多个离散点三角形网格剖分的正确性，并通过试验验证了算法的可行性。
In this paper, the wide-diameter of generalized hypercube is proved in two ways whose difference is to use mathematical induction and constructing method to prove the inequation (1).
论文用两种方法给出了广义超立方体网络宽直径的具体证明，而两种方法的主要区别在于分别采用数学归纳法和直接构造法证明了不等式(1)。
Through limited mathematical induction procedures, completed the verification unlimited conclusion, it is the soul of recursive thinking.
数学归纳法通过有限的程序，完成了验证无限的结论，它的灵魂就是递归思想。
Through limited mathematical induction procedures, completed the verification unlimited conclusion, it is the soul of recursive thinking.
数学归纳法通过有限的程序，完成了验证无限的结论，它的灵魂就是递归思想。
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