自然数

Formally: Given a finite subset S N , let mex S be the smallest natural number not in S

形式上：给定一个有限子集 S N ，令mex S为没有出现在S中的最小自然数

This article supposed a novel idea of building a new kind of database by unifying algebraical method and geometrical method. Each LssDNA was presented by a dot on a natural number coordinates axes, then the database was termed by'DotBank'.

该数据库中的每一条LssDNA都与数轴上代表自然数的一个点相对应，因此将此类数据库称为"点库"。

Note: Methods or procedures may be specified for mapping other natural linear orders onto the natural numbers.

注：为把其它自然线性顺序映射成自然数，可以采用各种方法或过程，例如，排序可以按字母或时间。

Order.Note: Methods or procedures may be specified for mapping other natural linear orders onto the natural numbers.

注：为把其它自然线性顺序映射成自然数，可以采用各种方法或过程，例如，排序可以按字母或时间。

N(n-1)...1 where n is a natural number

N（下的N - 1）。。。 1，其中n是自然数

Position weight function is an intrinsic concept of natural number systems, and it is also generalized into real number field.

位置权重函数的概念则是自然数系统中所固有的，它也被推广到了实数域。

The first line contains natural number N.

第一行为一个自然数N。

With the help of Newton formula and Vieta theorem, iterative method was used to solve problems of power sum.

借助牛顿公式和韦达定理，采用迭代的方法求解类似于自然数等幂和的问题。

Dimension has gone through stages of being any natural number n , possibly infinite with the introduction of Hilbert space , and any positive real number in fractal geometry .

维经历阶段被任何自然数N ，可能是无限的引入Hilbert空间，和任何积极的实际人数在分形几何。

It is very difficult to discrimnate a natural number to be a prime number by J Wilson s theorem This paper presents another method for discriminating prime number .

本文给出关于质数一个判定准则：数P为质数，当且仅当P不能表示为四个自然数之和，使其中的两数之积等于其余两数之积

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。