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- Using the elementary methods, all the positive integer solutions of the equation are obtained.The solvability of the equation is solved completely. 利用初等方法，获得了方程的所有正整数解，完全解决了该方程的可解性问题。
- Let(a,b,c) be a primitive Pythagorean triple with a is even. In this paper we prove that if c is a prime power,then the equation x~2+b~y=c~z has only the positive integer solution(x,y,z)=(a,2,2) with y is even. 设(a;b;c)是一组适合a为偶数的本原商高数;该文证明了:当c是素数方幂时;方程x2+by=cz仅有正整数解(x;y;z)=(a;2;2)可使y是偶数.
- In this paper, let p be an odd prime with p>3, we prove that the equation (xp-yp)/(x-y)=z2 has only the positive integer solution (x, y, z, p)=(3,1,11,5), satisfying x>y+1. gcd (x, y)=1. As a result, x is an odd prime power. 设p是大于3的奇素数,证明:方程2)()(zyxyxpp=--,1+>yx,1),gcd(=yx仅当p=5时有正整数解)11,1,3(),,(=zyx可使x是奇素数的方幂。
- On the upper bound for the positive integer solutions of the system of diophantine equations 关于不定方程组正整数解的上界
- The Positive Integer Solution to a Class of Diophantine Equations 一类丢番图方程的正整数解
- the positive integer solutions 正整数解
- It is proved that if p>3 and D is not divisible by p or primes of the form 2kp+1,then the equation x~p-2~p=pDy~2 has no positive integer solutions (x,y) with gcd (x,y)=1. 本文证明了:当p>3时;如果D不能被p或2kp+1之形素数整除;则方程xp-2p=pDy2没有适合gcd(x;y)=1的正整数解(x;y).
- A perfect number is defined as a positive integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors not including the number itself. 实数 由所有能被十进位数表示的数所组成，不论其为有理数或无理数。
- Let r be an odd integer with r>1.In this paper the author gives a necessary condition for(X,Y,Z) being a positive integer solution of the equation X~2+Y~2=Z~r with Y being a power of an odd prime. 设r是大于1的奇数;给出了方程X2+Y2=Zr的正整数解(X;Y;Z)中Y为奇素数方幂的必要条件.
- This paper discusses the numeration of the positive integer, negative number and fraction in Suanshushu, and points out its characteristics and its roles in the history of mathematics. 其中正整数、负数、分数的记载和表述方法与后世算书及其他国家和地区的记数法比较独具特色，其形式在一定程度上反映了先秦数学发展的某些特点。
- That can be put into a one-to-one correspondence with the positive integers. 可数的与正整数有一对一的对应关系的；可数的
- This paper discusses the numeration of the positive integer,negative number and fraction in Suanshushu,and points out its characteristics and its roles in the history of mathematics. 其中正整数、负数、分数的记载和表述方法与后世算书及其他国家和地区的记数法比较独具特色,其形式在一定程度上反映了先秦数学发展的某些特点。
- On the Number of Positive Integer SOlutions of Binary Linear Equations 关于二元线性方程的正整数解的个数
- number of positive integer solution 正整数解数
- The girl is quite suited for the position [work]. 这姑娘很适合担任这个职务[这个工作]。
- In 1997,Andrew Beal conjectured that if A=B=C=1,m,n,r are all larger than 2,the equation has not positive integers solution. 1997年;Andrew Beal猜想:如果A=B=C=1;m;n;r均大于2;则该方程没有正整数解.
- Capable of being put into one-to-one correspondence with the positive integers; countable. 可数的能够用正数一个一个地表示出来的；可数的
- He was exalted to the position of general manager. 他被提升到总经理的职位。
- He is the only person for the position. 他是担任此职位的最佳人选。
- The position of a figure in a numeral or series. 位某一数列中一个数目的位置
