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

改进版藤田数是以藤田命名的，该数描述了龙卷风的强度。

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

只要超过每小时200英里的速度都会被认为是藤田数5的龙卷风。

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

增强的藤田数按照龙卷风造成伤害的规模分。

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

现在, EF, 增强的藤田数，从0开始, 只5。

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

总而言之，营养是一个体在食链中的层数。

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

因此这只是以正负号交替的数作为系数。

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

牛顿的无穷数实际上给出的是一除以一加上 X 的值吗？

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，是改良藤田数的最高强度。

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

更准确地说，tan(theta) 的泰勒数展开表明该近似值仅具有三次误差项。

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数的核心思想，以及随之而来的无穷无尽的主题。

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的无限数，将它们设置为彼此相等，并求解 delta 来找出那个点在哪里。

A number one bigger than this was in the series expansion of a fundamental function in a totally different part of math, relevant to these things called modular forms and elliptic functions.

比这更大的一个是数中完全不同部分的本函数的数展开，与模形式和椭圆函数相关。

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.

如果你在这个系列中为X减去四分之一，您将得一个非常快速收敛的数展开式，它将快速为您提供高精度的三的平方根。

Whereas most of these developments were driven by a company's need to develop their own system to count their proceeds or a mathematical progression that necessitated a new tool–a more powerful tool–in this case, TI had invented the microchip.

虽然这些发展大部分是由公司需要开发自己的系统来计算其收益或需要新工具（一种更强大的工具）的数数推动的，但在这种情况下，TI 发明了微芯片。