Fujita is the namesake of the enhanced Fujita Scale which characterizes the intensity of tornadoes.

改进版藤田级数是以藤田命名，该级数描述了龙卷风度。

Anything above 200 miles per hour is considered an EF-5 tornado.

只要超过每小时200英里速度都会被认为是藤田级数5级龙卷风。

The enhanced Fujita scale rates tornadoes based on how much damage they cause.

藤田级数按照龙卷风造成伤害规模分级。

So, now, the EF scale, Enhanced Fujita Scale, starts at 0 and goes only to 5.

现在, EF级, 藤田级数，从0级开始, 只到5级。

So to summarise, trophic levels are the number of steps in an organisms is within a food chain.

总而言之，营养级是一个物体在食物链中层级数。

How does this series compare to the human's?

这个级数与人类相比？

The robot's total probability is also the total of a geometric series.

机器人总概率也是一个几级数总和。

So that just alternating series with plus and minus signs as the coefficient.

因此这只是以正负号交替级数作为系数。

Does Newton's infinite series actually give you the value of one over one plus X?

牛顿无穷级数实际上给出是一除以一加上 X 值吗？

They came up with something called the F-scale, which we still use today.

他们提出了一个叫做藤田级数系统，我们至今仍在使用。

Its wind speeds were greater than 200 miles per hour making it an EF-5 tornado, the strongest classification on the Enhanced Fujita Scale.

龙卷风风速每小时超过200英里，为EF-5型龙卷风，是改良藤田级数最高度。

Dividing by R2, this gives us an infinite sum which should converge to pi.

除以R2，这给出了一个应该收敛到π无穷级数。

And second, if the first number in the series is a, that total is: a divided by 1-minus-r.

而且第二点，果这个级数第一个数字是a，那么总和就是：a除以1减r。

And, in this case, it's an infinite polynomial so  I should really be calling it a power series.

而且，在这种情况下，它是一个无穷多项式级数，所以我应该称之为幂级数。

If we add all the possible probabilities of a human win, the total is the sum of a geometric series.

果我们把人类获胜所有可能概率相加，总数就是几级数和。

First, if the common ratio r of a geometric series has absolute value less than 1, the series has a finite total.

首先，果几级数公比r绝对值小于1，那么这个级数有一个有限和。

To be more precise about it, the Taylor series expansion of tan(theta) shows that this approximation will only have a cubic error term.

更精确地说，tan(θ)泰勒级数展开表明，这个近似只会有一个三次误差项。

More generally, this is the core idea  that underlies Fourier transforms, and Fourier series, and the infinite  swell of topics that follow from those.

更一般地说， 这是傅里叶变换和傅里叶级数核心思想，以及随之而来无穷无尽主题。

We can find out where that point is by writing the infinite series that represents each strategy, setting them equal to each other, and solving for delta.

我们可以通过写出代表每个策略无限级数，将它们设置为彼此相等，并求解 delta 来找出那个点在哪里。

If you put in minus a quarter for X in this series, you'll get a very rapidly converging series expansion that will quickly give you square root of three to high accuracy.

果你在这个系列中为X减去四分之一，您将得到一个非常快速收敛级数展开式，它将快速为您提供高精度三平方根。