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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。