数学归纳法原理

The clothing of the inductive aggregation is the principle of mathematical induction.

归纳集所具有的这种封闭性质，就是数学归纳法原理。

The quadratic optimal control problem of delay discrete-time linear system is proposed with quadratic performance index. It is transformed intoanother problem by using the Principle of Optimality. The direct expressions of theoptimal control sequence and performance index sequence are given by mathematicalinduction.

针对给定的二次型性能指标，提出了时滞离散系统线性二次最优控制问题，并利用最优性原理将该问题进行了转化，进而利用数学归纳法推出最优有记忆饱和控制序列及最优性能指标序列的直观表达式。

After questionary,the circumstance of college students of science and engineering mastering the mathematical induction is obtained:many students knew how to use the mathematical induction,but they didn't know its logical basis and logical theory.

通过问卷调查，了解到理工科学生掌握数学归纳法的状况，绝大多数人会用数学归纳法，但他们不知道数学归纳法的逻辑基础和逻辑原理。

This course will introduce the concept of logic, the language of mathematics, mathematical induction, set theory, function, counting methods, the pigeonhole principle, recurrence relation, and graph theory.

内容包括：逻辑引论、数学归纳法、集合理论、函数、排列与组合、鸽笼原理、递回关系及图形理论。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。