方法采用了分析方法和数学归纳法。
Methods the analytical and mathematical induction methods are used.
用数学归纳的方法总结出相关规律。
数学归纳法的教学首先是一科，程序性教学。
First of teaching mathematical induction is a process of teaching.
本文主要对数学归纳法的教学进行较为完整的研究。
This paper mainly on teaching mathematical induction of a more complete investigation.
数学归纳法是中学数学教学内容中的重点与难点之一。
Mathematical deduction is one of key and different points in middle school mathematics teaching.
讨论了一类根式的无理性，并用数学归纳法给出了证明。
This paper discusses a type of method of radical irrational using mathematical induction.
数学归纳法的应用是数学归纳法教学中很重要的一个环节。
Application of mathematical induction teaching mathematical induction is a very important link.
运用范数不等式，使用数学归纳法，证明了几个范数等式。
Several norm equalities are proved by norm inequality and mathematics induction.
数学归纳法是一种证明与正整数有关的命题的极为有效的科学方法。
Mathematical induction is a positive integer proved extremely relevant to the topic of effective scientific methods.
用数学归纳法得到了简单的迭代关系式用以计算多个完全透射峰的频率。
A simple recursion relation is derived by means of the mathematical induction to calculate the frequencies of the complete transmission peaks.
利用数学归纳法证明了一个关于正值函数的不等式，并举例说明了其应用。
This paper proves an inequality based on a positive function with mathematical induction and demonstrates its application with examples.
在此，我就数学归纳法在中学数学中的解题技巧和常见的误区提出一点看法。
Here, I mathematical induction mathematics in secondary schools in the solution that skills and common errors to point view.
数学归纳法通过有限的程序，完成了验证无限的结论，它的灵魂就是递归思想。
Through limited mathematical induction procedures, completed the verification unlimited conclusion, it is the soul of recursive thinking.
本文针对数学归纳法应用过程中，学生常见错误出现的心理因素进行了问卷调查。
This paper in the application of mathematical induction, the students common mistakes psychological factors conducted a questionnaire survey.
应用数学归纳法验证了“倒三角形”一些性质的存在性，并给出这些性质的证明。
Mathematic induction is used to validate the existence of nature of the Up-side Down Triangle and its testification is given in the paper.
数学归纳法可以用来证明与正整数有关的恒等式、不等式、整除性问题和几何问题等。
Mathematical induction can be used to prove the positive integers and Identities, inequality, and the divisibility of geometric problems.
论文通过详尽的数学分析和数学归纳，建立了带宽和缓存均有限的流媒体系统的离散时间模型。
Through detailed mathematic analysis and induction, a discrete time model of bandwidth and buffer limited stream media system is built.
要克服学生使用数学归纳法的心理障碍，一个有效的方法就是要了解数学归纳法应用的局限性。
Students use mathematical induction to overcome the psychological barrier, an effective way is to understand the limitations of mathematical induction.
数学归纳法推理是典型的三段论，而不是完全归纳法，其基础是自然数列的性质，而不是逻辑公理。
Mathematic induction is a typical syllogism, it is not complete induction, its base is the property of natural sequence, but not logic axioms.
数学归纳法是数学中常常用到的一种证明方法，最常见而最为人们所熟知的归纳途径是简单的有向路。
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.
利用数学归纳法证明算法对任意多个离散点三角形网格剖分的正确性，并通过试验验证了算法的可行性。
The mathematical induction is used to prove the correctness of the algorithm towards the triangle mesh of random multi-points, and the experiment proves its feasibility.
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。
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.
对数学归纳法逻辑基础即原理的准确理解，是教师进行数学归纳法教学的前提，也是学生能否掌握这种证明方法的关键。
On the logical basis that the principle of mathematical induction accurate understanding of the teachers teaching mathematical induction premise is that students can grasp the key method.
类比关于数式的二项式定理，导出关于矩阵的二项式定理，并用数学归纳法予以证明，最后举例说明关于矩阵的二项式定理的应用。
Compared to digital binomial function, matrix binomial function is derived and proved with induction method and the application of it is illustrated with examples.
论文用两种方法给出了广义超立方体网络宽直径的具体证明，而两种方法的主要区别在于分别采用数学归纳法和直接构造法证明了不等式(1)。
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).
运用数学归纳法原理和正交试验进行了连接料的三组份实验，得出了适合珠光颜料的连接料组份配方和试制工艺。配制出的珠光油墨具有实用性。
A formulation and technology for coloured pearl glory printing ink production of non-metal mica-titanium was achieved based on inductive method and orthogonal experiment.
视觉化对象并归纳数学规律的能力这样的问题连一些最优秀的诗人和哲学家都无法解答，又如何能让一个人找到那些问题的答案呢？这一点并不明朗。
It's not obvious how the capacity to visualize objects and to figure out numerical patterns suits one to answer questions that have eluded some of the best poets and philosophers.
在后来的生活中我才意识到从数学、科学和逻辑问题上归纳出这种态度并应用于日常生活是如此的有用。
It was only later in life that I realized how helpful it is to generalize this attitude beyond math, science, and logic problems and into the realm of practical daily existence.
在数学中，我们发现真理的主要工具是归纳和模拟。——拉普拉斯。
In mathematics, we found that the truth is the main tool and simulation.
数学实验的内容体系可分为演算、验证(模拟、演示)、数学建模(数据处理、经验归纳)三个层次。
The system of mathematics experiment can be divided into three levels: i. e. figuring, validating (simulation and demonstration), mathematical modeling (data processing and experience summarizing).
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