Let K be a set of positive integers.
设k是某些正整数的集合。
Let N be the set of all positive integers.
设N是全体正整数的集合。
Sparse matrix indices must be positive integers.
稀疏矩阵指数必须是正整数。
How many four-digit positive integers have their product of digits even?
数字之积为偶数的四位正整数共有多少个？
On the prime powers in sums of squares of three consecutive positive integers;
证明了连续正整数的立方和为素数或素数方幂仅有惟一解。
How can we give validation for a text box in which only positive integers are allowed?
我们如何能给一个文本框，其中只有正整数可以验证？
In the paper the similar binary representation and qualities of the positive integers are discussed.
本文论述了正整数的似二进制表示及其性质。
Find the sum of all the positive integers which cannot be written as the sum of two abundant Numbers.
请求出所有不能表示成两个充足数的和的正整数的和。
A computer program for expressing the greatest common divisor of two positive integers using their linear combination is given here.
给出了用其整系数线性组合表示两个正整数的最大公约数的计算机程序。
Mathematical induction can be used to prove the positive integers and Identities, inequality, and the divisibility of geometric problems.
数学归纳法可以用来证明与正整数有关的恒等式、不等式、整除性问题和几何问题等。
Rhino treats typical indexed arrays as special kinds of associative arrays. They just happen to be associative arrays with positive integers as keys.
Rhino将典型的有索引的数组作为一种特殊的联合数组来对待：它们只是一些关键字是正整数的联合数组。
It has been proved by a great deal of experiments that the magic number of nuclei is a series of positive integers, such as 2,8,20,28,50,82,126, etc.
原子核的幻数已被大量实验所证明是一系列的正整数，如有2，8，20，28，50，82，126等，但从理论上推导这些整数的存在并不是轻易的事情。
A member of any of the further sets of mathematical objects, such as negative integers and real Numbers, that can be derived from the positive integers by induction.
数更多的数学集合中的一元，如负整数或实数，通过归纳正整数而得出。
In particular, some upper bounds of the vertex arboricity of the integer distance graph G(Z, D) are obtained when D is a set of positive integers and Z the set of all integers.
特别地，当D是某正整数集合，Z是整数集时，得出了整数距离图G（Z ，D）的点荫度的几个上界。
If the set is small, we can simply list the members and number the list with positive integers, starting with 1 and proceeding in the natural order until we reach the end of the list.
如果集合较小，我们可以简单地列出起成员并用正整数记录列出的成员的数目，从1开始，以自然数的次序往下直至结束。
The first line contains two integers: a positive integer n (0
第一行包含两个数：一个正整数n（0
As its generalization, we also establish that a positive proportion of even integers can be written as the sum of two squares of primes and two powers of 2.
作为此问题的推广，本文还建立了一个类似的数值结果：可表为两个素数的平方和两个2的方幂之和的大偶数具有正密度。
Given a cube of positive and negative integers, find the sub-cube with the largest sum. The sum of a cube is the sum of all the elements in that cube.
给出一个正整数和负整数组成的立方体，找出其中具有最大和的子立方体。
Given a cube of positive and negative integers, find the sub-cube with the largest sum. The sum of a cube is the sum of all the elements in that cube.
给出一个正整数和负整数组成的立方体，找出其中具有最大和的子立方体。
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