如果我可以成对获得因子，那么我只需要循环到该数字的平方根。

I only need to go up to the square root of the number if I can harvest the factors in pairs. To that end, I improve the algorithm and refactor the code to Listing 3.

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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。

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.

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清单5中的代码首先将该因子列表收集到目标数字的平方根，将其保存在factor变量中。

The code in Listing 5 first gathers the list of factors up to the square root of the target number, saving it in the factors variable.

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衡量人们的总体能力，然后衡量他们的聪明度，算出两个数字的平方，再把它们相加，最后求出平方根。

Measure a person's general ability; then measure their cleverness, then square both numbers and add them together, then take the square root.

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事实上，它通常是一个复数的形式，包括普通数字的实数部分和需要乘以负一的平方根的虚部。

In fact, it can generally be a complex number with both a "real" part that's an ordinary number and an "imaginary" part that's multiplied by the square root of one.

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介绍了平方根升余弦滚降数字滤波器的设计和优化方法，并提出了用FPGA实现其硬件电路的方案。

This paper introduces design, optimization and implementation with FPGA of square-root raised cosine roll-off digital filter.

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介绍了平方根升余弦滚降数字滤波器的设计和优化方法，并提出了用FPGA实现其硬件电路的方案。

This paper introduces design, optimization and implementation with FPGA of square-root raised cosine roll-off digital filter.

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