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- If diverges, and there is a natural number ,such that for any ,holds, then also diverges. 如果级数发散，且当时，有成立，则级数发散。
- In this paper,a new genetic crossover operator,insert cros sover operator,suited for large-scale TSP is proposed for natural number enco ding scheme. 该文针对自然数编码的方式,提出了一种较适合于大规模TSP问题求解的遗传交叉算子:插入交叉(InsertCrossover,简称IX)算子。
- In the light of these works, the conception of natural number changed from "intuitive clearness" into "logical strictness". 借助这些工作，自然数概念由“直观上清晰明了的”转变为“逻辑上严格精密的”。
- In this paper,the author has proved that the Diophantine y(y+1)(y+2)(y+3)=nx(x+1)(x+2)(x+3) has no integer solutions when n=13~(2k),k is a natural number . 本文用初等方法证明了不定方程y(y+1)(y+2)(y+3)=nx(x+1)(x+2)(x+3)在n=13~(2k)(k为自然数)时无解.
- The natural number coding,the random population selection,the simple crossover strategy of "two-parents-and-one-kid" and the fixed mutation probability were totally adopted. 在算法中采用了自然数编码、随机选取种群、简单的“双亲单子”交叉策略和固定的突变概率.
- Eratosthenes sieve method is a method to search for all prime numbers less than natural number N(N>1). 埃拉托斯特尼筛法是求不超过自然数N(N>1)的所有质数的一种方法。
- The algorithm used natural number coding method with dynamically adjustment for the probability coefficients of crossover and mutation, and used chaos optimization method as the mut. 对于模型的求解方法,构造了一种自适应的混沌遗传算法,采用自然数编码方式,动态的在线调整算法的交叉和变异概率,并采用混沌优化方法作为变异算子。
- Today we are going to classify natural numbers by seeing how many divisors they have. 我们学习根据一个数约数的个数来对自然数进行分类。
- Ss: Whether divisible by two or not, we may divide natural numbers into odd numbers and even numbers. 根据能否被整除将自然数分为奇数、偶数。
- The term enumerable has the same etymology as in computably enumerable sets of natural numbers. 这通常是要认真处置的例程。
- Decimals are based on ten, multiples of ten, and tenths. A decimal point separates natural numbers from decimal fractions. 小数由十;十的倍数和十分位的倍数组成.;小数点把自然数与小数部分分开
- A track is subdivided into sectors. To distinguish the sectors,they are sequentially addressed by natural numbers 0,1,2 and so on. A sector is a primitive access unit. 磁道又分为扇区，为了区分这些扇区，用0、1、2等给扇区按顺序编上地址号，一个扇区是一个基本的存取单位。
- A track is subdivided into sectors. To distinguish the sectors,they are sequentially addressed by natural numbers 0,1,2and so on.A sector is a primitive access unit. 磁道又分为扇区，为了区分这些扇区，用0、1、2等给扇区按顺序编上地址号，一个扇区是一个基本的存取单位。
- It is natural for a cat to catch mice. 猫捉老鼠是本能。
- Consecution Multiple of the natural Number 自然数的连续倍数
- It's natural to slack2 off towards the end of a hard day's work. 一天紧张工作快结束的时候有些放松是自然的。
- Many natural materials are becoming scarce. 许多天然原料越来越少。
- A track is subdivided into sectors. To distinguish the sectors, they are sequentially addressed by natural numbers 0,1,2and so on.A sector is a primitive access unit. 磁道又分为扇区，为了区分这些扇区，用0、1、2等给扇区按顺序编上地址号，一个扇区是一个基本的存取单位。
- The key fact is that these axiomatizations are not expressive enough to define the set of natural numbers or develop basic properties of the natural numbers. 不过,我们没有任何根据可以把人类根据自身演化路径的特殊规律强加到一般生命的演化历史上来看。
- This shows that it is impossible for a set of first-order axioms to characterize the natural numbers, the real numbers, or any other infinite structure up to isomorphism. 电脑科学在自动验证和自动寻找证明等技巧方面的成果对逻辑研究做出了贡献，比如说自动定理证明和逻辑编程。
