1. Mathematical induction and its simple applications.

2. By mathematical induction, we have proved that this protocol semantically satisfies the sequential consistency.

3. Non - mathematical induction play an essential role in mathematical research.

4. The mathematical induction is a method of proof often applied in mathematics. The most common and the most famous inductive way is the simple directed path.

5. Mathematical induction can be used to prove the positive integers and Identities, inequality, and the divisibility of geometric problems.

6. But loop program can be extracted from the proving of resolution principle with the aid of mathematical induction.

7. 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) .

8. This paper discusses a type of method of radical irrational using mathematical induction.

9. In this paper, Author using method of combinatorial analysis and mathematical induction have proved several properties of sort a of the sum seguence about Fibonacci number.

10. A simple recursion relation is derived by means of the mathematical induction to calculate the frequencies of the complete transmission peaks.

11. According to that algorithm, this article puts forward a formula to calculate the number of movements necessary for the 4-peg Hanoi Tower problem(/mathematical induction.html), and proves it using mathematical induction.

12. Two formulae: the recursion formula and the general formula obtained by mathematical induction were given.

13. In this paper, a general inductive principle for any ordered set is proved, and the mathematical induction, the transfinite induction and the continual induction are then deduced.