All of these indicate that the system of Peano ′ s natural number can be generated in MS and a theoretical foundation provided to prove that MS is a foundation of classical mathematics.

1、

Several precise expressions involving Stirling numbers as coefficients for the power sum of natural numbers are given. Some new properties of the Stirling number and counting formulae of the Bernoulli number are obtained.

给出了自然数方幂和的包含Stirling数的几种精确表示式，得到了Stirling数的一些新的性质和Bernouli数的计数式。

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2、

The Stirling Numbers of the Second Kind and Multiple Sums of Powers of Natural Numbers

第二类Stirling数与多重自然数方幂和

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3、

K Difference of k Power of Arbitrary k+ 1 Adjacent Natural Numbers Equal to k Factorial

任意k+1个相邻自然数k次方的k次差等于k阶乘

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4、

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。

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5、

The Explicit Expression involving Bernoulli Numbers for the Power Sum of Natural Numbers

自然数方幂和的包含Bernoulli数的精确表示式

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6、

Natural Number K Power Sum Once

关于自然数K次幂和的讨论

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7、

He tried to cram as many things as possible into his traveling bag.

他尽量把东西都塞进旅行包.

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8、

Here it is, the red traveling bag, but I can't find the other one.

在这里, 红的旅行包, 但是我找不到另一件行李.

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9、

A canvas or leather traveling bag designed to be carried while strapped to the shoulders.

带有衣物的可移动的矩形的旅行包.

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10、

Go and pack your traveling bag at once.

去把旅行包收拾好吧.

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11、

B : Yes, this is all mine, two suitcases and a traveling bag.

B: 是的, 这全是我的.两个箱子和一只旅行包.

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12、

His traveling bag is crammed full of old clothes.

他的马桶包被塞得满满的,都是一些旧衣服.

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13、

Produce and sell pramoxine hydrochloride rubber promoting agent TMTD, TMTM , rubber sulphuretted agent DTDM, etc.

生产销售盐酸丙吗卡因、橡胶促进剂TMTD、橡胶促进剂TMTM 、橡胶硫化剂DTDM等.

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14、

I choose to be in a mood.

翻译公司我选择心情愉快.

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15、

Derives the formula for calculating the formation stress and rupture parameters with the solution of equation.

利用方程的解推出地层应力及破裂参数的计算公式.

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16、

S: The process to get the solution of equation.

生: 求方程的解的过程叫做解方程.

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17、

The process to get the solution of equation.

求方程的解的过程叫做解方程.

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18、

This paper states the expressions of solution of some differential equations with delay.

给出了一类具有滞量的微分方程解的部分表达式.

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19、

Solutions to a class of wave equations are studied according to velocity diagram.

在速度图平面上,对一类波动方程解加以研究.

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20、

For the last two ways, we use equations to solve the word problem.

后两种方法实际就是列方程解应用题.

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