Examples of using 余数 in Chinese and their translations into English
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Programming
也就是说如果把a扩大到它的p次方，然后再除以p，余数应该是a。
That is, if we raise a to 例如，你想对两个整数做除法，计算出商和余数，依次计算出\(x/y\)和\(x%y\)的效率并不高。
For example, if you want to divide two integers and compute the quotient and remainder, it is inefficient to compute x/y and then x%y.在每个步骤k中，余数的范数f(rk)必须小于前一个余数的范数f(rk-1)。
After each step k of the Euclidean algorithm, the norm of the remainder f(rk) is smaller than the norm of the preceding remainder, f(rk- 1).找出自然数n的约数的暴力算法将枚举出从1到n的所有整数，并检查它们中的每一个是否除n后都没有余数。
A brute-force algorithm to find the divisors of a natural number n would enumerate all integers from 1 to n, and check whether each of them divides n without remainder.很多取模的实现都使用了截断除法，此时商由截断函数定义定义q=trunc(a/n)，因此由等式1有，余数和被除数符号一致。
Many implementations use truncated division, where the quotient is defined by truncation q= trunc(a/n) and thus according to equation(1) the remainder would have same sign as the dividend.要检查一个虚拟计数器比如c是否等于零，只要把实际计数器除以5，看余数是什么，接着乘以5并加回余数。
To check if a virtual counter such as c is equal to zero, just divide the real counter by 5, see what the remainder is, then multiply by 5 and add back the remainder.计算最后一位余数.
The remainder of 计算余数你可以使用%.
To calculate the remainder you can use%.如果余数为1则为奇数.
If remainder is 1, it is odd number.要计算余数你可以使用%：.
To calculate the remainder you can use%.符号用于表示余数运算。
The% symbol is used to represent there remainder operation.余数可以用%操作符计算.
The remainder can be calculated with the% operator.我们使用%运算符来计算余数。
The% mod operator is used to calculate the remainder.若余数为0，则这个数不是质数。
If remainder is 0 number is not prime.有时我们不能整除……可能有余数。
P中的任何数整除，因为相除时余数为1。
For it leaves the remainder 1 when divided by any one of these numbers.不过，Python提供了一个求余的运算%可以计算余数：.
However, Python provides a 如果没有余数，那便把余数视为9。
If the balance is zero, then 将变量的值除以指定值，然后将余数（模）赋予变量。
Divides 本题中，这组数是三个0，放到余数739后面，得到739,000。
In this case, these are three 0s, which will follow the 739 remainder to give 739,000.
