This is the fact that we occupy a finite volume in space, because they're little hard spheres in this molecule.

这是由气体分子在空间中,占据有限体积造成的,因为事实上它们是硬的小圆球。

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Or if you want negative numbers, between negative 2 billion and positive 2 billion, but it's a finite range.

或者你想储存一个负数，就必须位于负20亿到,正20亿之间，是个有限的范围。

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And syntax uses another neat trick, this is defined by Wilhelm von Humboldt as the "Infinite use of finite media."

语法使用了另一种神奇的把戏,威廉·冯·洪堡,将之定义为"有限域的无限应用"

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I am modeling them as billiard balls of a finite dimension.

我把它们想象成具有有限尺寸的台球。

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There are cells within your body that are always in the process of division and forming new cells, and sometimes this is for a tissue where cells only have a finite lifetime.

你体内的一些细胞,始终在不断分裂,并生成新的细胞,很多时候,是在一些细胞寿命有限的组织中

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You have discrete random variables, like the one I just defined, or there are also--which take on only a finite number of values-- and we have continuous random variables that can take on any number of values along a continuum.

就像刚定义的,是一个离散型随机变量,随机变量还可以有无限种取值,也就是连续型随机变量,随机变量可以取某一区间的一切值

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as long as it's small and finite, will lead to some small infinite errors in the formula, but remember it's got to be in the end made to be vanishingly small.

只要它只是有限小,就会在公式中引起无限小的误差,但请记住,Δt最后变得难以察觉地小

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But whereas the other one was obviously forever, this allows you to specify a finite number of times that you wanna do something.

但又不同于“无限循环“,你可以根据需要,为它指定循环次数。

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But because you only have a finite number of bits, the takeaway for today is that there's only so much precision.

因为只有有限个比特，今天的重点就是，它就这么点精度。

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So finite number of times can you specify with a condition, as we'll see in a moment.

所以你们可以指定一个条件来表示有穷的次数，我们等下将看到。

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There's a finite number of notes but a limitless number of musical compositions.

音符的数量是有限的,但乐曲的数量却是无限的

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Your vocabulary is finite.

你的词汇量是有限的

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Because you can come up with an infinite number of values but if you have a finite amount of space and certainly a computer has a finite amount of disk space or RAM, you have to make approximations.

你可能会碰到一些无限的值,如果你只有有限的空间,废话，电脑当然只有一个有限的磁盘空间,或RAM，我们得做一些近似处理。

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So unlike Scratch where you pretty much had to say "repeat" ten times or whatever, or forever where it's just "forever" with for loops, -- can you actually specify a finite number of iterations -- and as I learned 15 years ago, finite is important.

所以不像Scratch，你大致上需要用,“repeat“10次或更多，或者需要不断地使用当它,是死循环时，你们能够指定出一个有限的迭代次数-,像我15年前学的，有穷的是重要的。

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DNA also has this sort of combinatorial system where you have a finite number of, I guess, bases or amino acids that could combine to a possible infinity of strings of DNA strings.

脱氧核糖核酸也拥有这种组合系统,你的生物基础或氨基酸数量是有限的,但却能组合出,几乎无限的脱氧核糖核酸螺旋结构

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