mathematical induction
英 [ˌmæθəˈmætɪkl ɪnˈdʌkʃn]
美 [ˌmæθəˈmætɪkl ɪnˈdʌkʃn]
网络 數學歸納法; 归纳法; 数学归纳; 数学归纳法
双语例句
- I is pointed out that Heawood applied the mathematical induction for the vertex number to prove'The Five Color theorem'is incorrect.
同时我指出了希伍德对顶点数套用数学归纳法的格式来证明“五色定理”的方法是错误的，从而否定了希伍德证明的“五色定理”。 - Non& mathematical induction play an essential role in mathematical research.
非数学归纳法在数学的研究中，起着不可缺少的作用。 - The analysis is based on the mathematical induction.
我们的分析方式是以数学归纳法为基础。 - This paper proves an inequality based on a positive function with mathematical induction and demonstrates its application with examples.
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 discusses a type of method of radical irrational using mathematical induction.
讨论了一类根式的无理性，并用数学归纳法给出了证明。 - In this paper, a general inductive principle for any ordered set is proved, and the mathematical induction, the transfinite induction and the continual induction are then deduced.
证明了一个适用于任意有序集的一般归纳原理，以此为基础导出了数学归纳法、超限归纳法和连续归纳法，从而揭示出三种归纳法的共同基础。 - 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 - The price law was concluded by mathematical induction.
用数学归纳的方法总结出相关规律。 - Proving Programs Correctness by a Generalized mathematical Induction Method
广义数学归纳法证明程序的正确性 - In terms of the assessment value of integration, a proof of the analysis of Cauchy integration F ( z) in the arbitrary area D that is out of the simple field by field smooth curve C on the plane z is given by applying the mathematical induction.
依据积分估值对Cauchy型积分F（z）在z平面上简单逐段光滑曲线C外任一区域D内的解析进行了证明，其方法是利用数学归纳法。 - By using mathematical induction it has been proved that every plane graph is 4-colourable.
用数学归纳推理的方法，论证了图论中的简单平面图Gn是4着色的。 - Understanding Mathematical Induction by Set Theory
用集合论理解数学归纳法 - The mathematical induction of correction arithmetic on mathematical model is proposed based on the correction problem of the array antenna radar system.
针对阵列天线雷达的系统校正问题，对数学模型进行了校正算法的数学推导。 - On Double Mathematical Induction
关于双重数学归纳法 - The Improvements on Teaching Method of Mathematical Induction
关于数学归纳法教学的改进 - According the characters of the Fourierism series, the paper proved the relation of the special series and Pi by the mathematical induction.
根据傅立叶级数的性质，得到并运用数学归纳法证明了某一类特殊级数与π之间的关系。 - But loop program can be extracted from the proving of resolution principle with the aid of mathematical induction.
本文利用归结原理进行计算机定理证明，然后从归结证明树中抽取程序。 - The mathematical induction is the most basical method in maths, and the inductive axiom is a basical principle.
数学归纳法是数学中的一个最基本的工具。 - 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).
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）。 - 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.
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。 - Though analyzing the structure characteristics of arbitrary n-polygon non-circular sections, the mathematical formulas among the characteristic parameters were set up, and the theorem for designing this kind of sections was deduced by mathematical induction method.
通过分析多面形非圆型面的结构特征，建立了各特征参数之间的关系式，采用数学归纳法导出了任意n面形非圆型面的设计定理。 - 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.
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。 - Science and Engineering Students 'Condition of Mastering the Mathematical Induction
理工科学生掌握数学归纳法状况的调查及分析 - Also, this part sets up a dual principal-agent model, and makes some conclusions by mathematical induction.
再次，构建了风险投资运作过程中的双重委托代理模型，通过数理推导得出了相关结论。 - Utilization of mathematical induction extends the unity of the higher-order derivation and primary function formula in document [ 1] to the special functions whose structural features are more complicated. The results we obtain are more wid-ranging than the ones in document [ 1].
把文献[1]中所研究的高阶导数与原函数的统一性公式，利用数学归纳法推广到了结构更为复杂的特型函数中，获得了比文献[1]应用更为广泛的结果。 - On this basis, the impulsive disturbance is introduced into the model. By using mathematical induction, some sufficient conditions for judging the stability with the mode constraint are obtained.
进而，在此模型基础上，引入了脉冲干扰，利用数学归纳法，得到了该系统模约束指数稳定性的充分条件。 - For the convergence of those explicit schemes, it is known that the prior estimates of their numerical solutions are difficult to obtain. In order to avoid obtaining the prior estimates, mathematical induction method and discrete energy analysis method are used to prove the convergence.
尤其是对于显式差分格式，我们综合运用数学归纳法和能量分析方法，避开了较难的先验估计而直接证明了它们的收敛性和稳定性。 - Traditional mathematical induction method requires variables to be continuous and objective function to be differentiable. However, the variables in truss structures are discrete.
由于桁架的设计变量是离散的，而传统的数学归纳方法对变量的要求较高，一般要求为连续的，并且要求目标函数具有可导性，所以不适合解决此类问题。 - Firstly, some sufficient conditions for exponential stability of the system are obtained by applying vector Lyapunov function method and mathematical induction method.
首先利用向量Lyapunov函数法和数学归纳法，得到了该系统群指数稳定的充分条件以及指数收敛率。 - The principle of mathematical induction is used to prove the conclusion, and a numerical example to test the result. A scheduling model for logistics capability in a time-based multi-stage supply chain.
运用数学归纳法对最优化结果进行了证明，并结合示例检验了模型的效果。基于时间的多阶供应链物流能力计划模型与分析。