基本解释：数学归纳法
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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。
Two notes about changes of inductive method;关于数学归纳法变化类型的两个注记
This thesis talks about the proving steps and every variety of form of inductive method.文章利用数学归纳法的证题步骤和数学归纳法的多种变式,讨论了数学归纳法在离散数学中特别是在图论中的应用,强调了与自然数有关的命题用数学归纳来证明是行之有效的方法,并通过具体的实例加以说明。
By skillfully using mathematics induction and interchanging-colors, this article successfully solves the simplifying prohlem advanced by A.用离散数学之图论证明"四色猜想",巧妙而深层次地应用数学归纳法和换色法,解决了肯泊(A。
We use mathematics induction to show them.主要研究正算子的关于范数的问题,我们运用数学归纳法来给出证明,并将此性质推广到任意的有界线性算子。
Some examples of mathematics induction are presented here which we used in teaching practice.本文提出数学归纳法授课案例并在教材教法课中予以实
On Exploratory Teaching of Mathematics Induction Method;关于“数学归纳法”探究性教学的尝试
Two notes about changes of inductive method;关于数学归纳法变化类型的两个注记
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
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
AN EXTENDED FORM OF MATHEMATICAL INDUCTION AND ITS APPLICATION IN NUMBER THEORY数学归纳法的一个推广形式及在数论中的应用
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。
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
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。
The application of method of undetermined coefficients in higher mathematics --To cultivate vocational students capacity of induction and application;待定系数法在高等数学中的应用——培养高职学生的归纳及应用能力
Mathematician:3 is a prime,5 is a prime,7 is a prime, and by induction- every odd integer higher than2 is a prime.数学家：3是个质数，5是个质数，7是个质数，根据归纳法，所有比2大的奇数都是质数。
Induction Used in English Teaching;归纳法在中学英语教学中的运用刍议
relating to logical induction.（有关）逻辑归纳法。
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。
a science founded on induction根据归纳法创立的一门科学。
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
Incomplete induction on the value of scientific research;不完全归纳法对科学研究的价值探析
