One of them deals detailedly with the logical relation between the principle of mathematical induction (type I sa well as type I )and the well-ordering principle under a certain condition and the other introduces an axiom concerning the natural numbers and demonstrates the equivalence between it and the system of Peano axioms.
其一详论在一定条件下,Ⅰ、Ⅱ型数学归纳原理及良序原理之间的逻辑关系:另一则提供一个关于自然数集N的公理并论证它与Peano公理系统的等价性。
Inclusion and exclusion principle proved with mathematical induction;
一般容斥原理的数学归纳法证明
Application of Mathematical Induction to the Mathematical Programming
数学归纳法及其在数论方面的应用
This paper pre-sented two general expressions and the property of generalized Fibonacci sequence Rn+1=uRn+vRn-1,R0=a,R1=b by using the mathematical induction method and seeking the root of characteristic equation.
利用数学归纳法和特征方程求根的方法对广义Fibonacci数列Rn+1=uRn+vRn-1,R0=a,R1=b进行研究,得到了两个通项表达式和一个性质。
The Error-Analysis and Teaching Strategy in Teaching Induction for Senior High School Students;
高中生数学归纳法学习中的错误及教学策略
In this paper, by using the method of analogue to treat a special determinant, we come to a general conclusion, which has been proved correct by induction.
通过对一种特殊的行列式作 q -类比 ,得到更为一般的结论 ,并利用数学归纳法对该结论作出了严格的证明 。
Based on analysis of a typical case in teaching course of recursion,the thesis explains recursion through mathematic induction,the new way of teaching produces a good effect.
结合递归问题教法中的一个典型实例进行分析,以数学归纳法思想讲解递归问题,可以取得较好的教学效果。
With the use of the minimum nature the paper comments the reasonableness and the mutual relation of dependence in Condition one and Two of mathematic induction.
本文利用自然数的最小性性质，给出数学归纳法的合理性及数学归纳法条件1与条件2的相互依赖关系。
On the Logical Relation between the First as well as the Second Principle of Mathematical Induction and the Well-Ordering Principle;
论Ⅰ、Ⅱ型数学归纳原理及良序原理之间的逻辑关系
Discussion on inductive method and data-driven language learning method;
论归纳法和依照数据处理的语言学习方法
Abstract: The method of data discovery is discussed, and it is used to data processing of geochemistry.
文摘:数据发现是机器学习中的归纳学习法，适用于定量数据的处理。
On the Acceptability of Scientific Theory: The Dispute about Induction and Anti-induction;
关于科学理论的可接受性——归纳和反归纳之争
Basic Concepts: mathematical induction; functions and inverse functions; elementary functions, trigonometric functions; complex numbers; De Moivre's Theorem; roots of a complex number.
一些基础概念：数学归纳法、数及反函数、等函数、角函数、数、莫弗定理、数(角形式)次方根。
On Exploratory Teaching of Mathematics Induction Method;
关于“数学归纳法”探究性教学的尝试
The Study of the Theory and Practice about Developing Junior High School Students Ability of Mathematical Induction;
关于初中生数学归纳能力培养的理论与实践研究
A Psychological Analysis and Solution for Validity of Inductive Reasoning;
归纳推理合理性的心理学分析与回答
Two notes about changes of inductive method;
关于数学归纳法变化类型的两个注记
The Use of Incomplete Induction in New Mathematic Course;
不完全归纳法在数学新课程中的渗透
Analogy and induction --important methods of mathematical discovering;
类比和归纳——数学发现的重要方法
The application of inductive method to the poof in higher mathematics;
数学归纳法在高等数学证明题中的应用
From Logic to Psychology--Psychological means of inductive inference;
从逻辑学到心理学——归纳推理的心理学意义初探
This article points out the causes that prevent students from learning English well.
本文归纳指出了影响学生学习英语的主要原因。
The learning data organization technique, including inductive and deduc tive learning is introduced.
介绍了机器学习技术和学习数据组织方法，包括归纳学习和推理学习。
An Inductive Learning Algorithm Based on the Rough Set Theory
基于粗集理论的一种归纳学习算法
Pay Attention to the Teaching of Induction and Deduction, Promoting the Students Quality of Thought;
重视归纳推理教学 促进思维品质提升
The Error-Analysis and Teaching Strategy in Teaching Induction for Senior High School Students;
高中生数学归纳法学习中的错误及教学策略