主平方根函数是使用非正实轴作为分支切割定义的。
The principal square root function is defined using the nonpositive real axis as a branch cut.
2π乘以R/d的平方根,得到1。
You take two pi times the square root 85 of R over d and you find 1.85.
它不会帮你算出平方根。
过滤目标数的所有因子，从1到其平方根。
Filter all of the target number's factors from 1 to the square root of the number.
如果有人请求负数的平方根，也将发送错误响应。
You also send a fault response if someone requests the square root of a negative number.
但是系统能量的变化量大约,会是N的平方根乘以ε
But the system variance is going to be on the order of the square root of N times epsilon.
假设我想在一大段代码中，计算很多次平方根。
Suppose I want to compute square roots a lot of places in a big chunk of code.
我接下来要求b的平方和h的平方,的和的平方根对不对？
I want to then do, I need to find the square root b squared plus h squared, right?
你会做数学吗：100乘4除以100的平方根是多少呢？
Can you do the math: What is one hundred times four, divided by the square root of a hundred?
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.
,这是我们写的计算平方根的代码，计算完全全平方根的。
It's the piece of code we wrote for computing square roots, square roots of actually perfect squares.
如果您成对获取因子，您只需要检查到目标数的平方根即可。
If you can harvest factors in pairs, you need only check factors up to the square root of the target number.
对输入的整数求平方根，遍历所有小于或等于平方根的整数。
It loops through all of the integers that are less than or equal to the square root of the input integer.
你失去了，得到了y轴质量中心,成了平方根,3除以8再乘l开方。
m And so you lose your m, and so you see that y center of mass then becomes the square root of three divided by eight times l.
你也许认为这个误差,=372加减1的,平方根1,除以186加减。
You may think that the uncertainty in there equals the square root 1 of 372 plus or minus 1 1 divided by 186 plus or minus 1.
如果想要逃离这里，你将需要一个速度，是轨道速度2倍大的，平方根。
If you want to escape from this, you will need a speed which is the square root of two times larger than that orbital velocity.
例如，如果目标数是16，平方根的整部部分4会在因子列表中出现两次。
For example, if the target number is 16, the whole-number root of 4 would end up on the list of factors twice.
其中 (pi = 3.1415...，sqrt()表示平方根)
where (with pi = 3.1415... and sqrt() denoting the square root)
一个从8米处坠落，一个从2米处坠落，时间之差是它与高，之比的平方根。
If I drop one from eight meters and I drop another one from two meters then the difference in time will be the square root of the ratio.
如果你在轨道接近，地球，那是8千米每秒，8乘以2平方根，正好是11。
If you are near Earth in orbit, you are eight kilometers per second, and eight times the square root of two 2 is exactly that 11.2.
例如，对于数字16，平方根是4，该数字将被意外地添加到列表中两次。
For example, for the number 16, the square root is 4, which inadvertently gets added to the list twice.
结果是当您成对地获得数字时，您在到达整数平方根时将意外地获得两次数字。
It turns out that when you harvest the Numbers in pairs, you accidentally grab Numbers twice when you reach a whole-number square root.
第一行定义一个名为square的函数，该函数可接受参数并发出其平方根。
The first line defines a function called square that takes an argument and emits its square root.
首先，获取数的范围是从1到目标数的平方根加 1（确保能取到所有因子）。
First, I take the range of numbers from 1 to the target number's square root plus 1 (to make sure I catch all the factors).
我们马上来测量时间，再取其比值，接着对比，看时间是否与高度的平方根，成正比。
So now we can measure these times and then we can take the ratio and then we can see that the time that it takes is proportional to the square root of the height.
我之前说过，注意，轨道时间和逃逸速度，因2的平方根不同，如果你在某特定位置。
I mentioned earlier, notice that the orbital period and the escape velocity vary by a square root of two if you are at a particular position.
所以他们频繁地使用这种包含-1的平方根的标记方法，仅仅是为了引入完全的对称。
So they frequently used this notation containing the root of minus 1, just to bring in the complete symmetry.
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.
则目的是求平方根；但是仅当字段的显示类型是Number(如图8所示)时才能工作。
Then the intent is to take the square root; however, this works only if the display type of the field is Number as shown in figure 8.
则目的是求平方根；但是仅当字段的显示类型是Number(如图8所示)时才能工作。
Then the intent is to take the square root; however, this works only if the display type of the field is Number as shown in figure 8.
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