It doesn't help you find square roots.
它不会帮你算出平方根。
This tells you how to find square roots.
这个让你知道怎样寻找平方根。
Suppose I want to compute square roots a lot of places in a big chunk of code.
假设我想在一大段代码中，计算很多次平方根。
Let's say you want a lookup table that will return square roots of Numbers between 5 and 20. A simple program can be written to generate such a table like this.
假设我们希望得到这样一个查找表：它返回5到20之间各个数字的平方根。
It can also calculate percentages and square roots.
它也可以计算百分数和平方根。
Having found all square roots of an identity matrix.
找出了单位矩阵的所有平方根。
And what, too, to make of the square roots of negative Numbers?
如果说以上二者已经够糟糕了，那负数开平方又将何以自处？
The ratio is about right, and we avoid having to calculate square roots and we avoid decimals.
比例大致是正确的，而我们却避免了方根和小数的计算。
The fact that the square roots of 2 and 3 are irrational means that they cannot be written as fractions.
实际上2、3的平方根是无理的，意味着不能用分数的形式书写。
Newton's method is an example of an algorithm: it is a mechanical process for solving a category of problems (in this case, computing square roots).
牛顿法是算法的一个例子：通过一系列机械的步骤来解决一类问题(在本章中是用来计算平方根)。
Newton's method is an example of an algorithm: it is a mechanical process for solving a category of problems (in this case, computing square roots).
牛顿法是算法的一个例子：通过一系列机械的步骤来解决一类问题(在本章中是用来计算平方根)。
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