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A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.

用比较直接的法证明幂的和在收敛域内可以逐项微分的公式;并得到了计算傅立系的一种简便法.

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By using the method of coordination transformation and expandedness Fourier series, an analytic solution is obtained from studying the Newtonian fluids laminar flow in eccentric anulus.

用坐标变换和展开成傅立的法,推导出了牛顿流体偏心环空轴向流动速度场的严格学解析解.

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By proving properties of demicontinuous function and series with function terms, use methods of finite coveting theorem and its application in proving problems are introduced.

通过半连续及项等有关性质的证明,介绍了有限覆盖定理的使用法,说明了它在证明问题中的作用。

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With growth rate photograph of slow road carrying capacity is compared, the growth of the car shows growth of progressional in successive years.

和增长速度缓慢的道路承载能力相比,汽车的增长呈的连年增长。

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a sort of, a speck of, a spectrum of, a strip of, a suite of, a sum of money, a type of, a variety of, a wealth of, a.,

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3G, 401(K), a,

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当月 CNN 10 生英语 2021年5月合集

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

风风速每小时超过200英里,为EF-5型风,是改良藤田数的最高强度。

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当月 CNN 10 生英语 2021年3月合集

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,该数描述风的强度。

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CNN 精选 2015年5月合集

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的风。

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生物基础入门

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

总而言,营养是一个生物体在食物链中的层数。

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CNN 精选 2015年5月合集

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, 只到5。

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高等数

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的数,所以我应该称为幂数。

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高等数

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

除以R2,这给出一个应该收敛到π的无穷数。

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HISTORY This Week

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

他们提出一个叫做藤田数的系统,我们至今仍在使用。

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99%不为人知的故事

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 发明微芯片。

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科技 Crash Course

If the level is not 1, the code inside the ELSE block will be executed instead, and the number of bugs that Grace has to battle is set to 3 times the level number.

如果等不是1,ELSE块中的代码将会被执行, Grace需要战斗的虫子数量将被设置为等数的3倍。

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Veritasium真理元素

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减去四分一,您将得到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。

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TED-Ed(视频版)2024年6月合集

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

如果我们把人类获胜的所有可能概率相加,总数就是几何数的和。

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Veritasium真理元素

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。

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高等数

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)的泰勒数展开表明,这个近似只会有一个三次误差项。

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Veritasium真理元素

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?

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高等数

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,以及随而来的无穷无尽的主题。

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高等数

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.

一个比这大一号的数出现在一个基本函数的数展开中, 这个基本函数属于数中完全不同的一个部分,与所谓的模形式和椭圆函数有关。

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高等数

Another example that several astute commenters on the " Inventing Math" video pointed out, is the connection between the divergent sum of all powers of 2 and the way that the number -1 is represented in computers with bits.

另一个例子是, 几个精明的评论者在观看“发明数” 视频时指出的,2的所有幂次的发散数与计算机中用比特表示-1的方式间的联系。

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A/C, A/D, a/o, A1, A-10II, A-12, A2, A-4, A-6, A-7II,

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3G, 401(K), a,
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