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And because, as long as this collection is finite, this thing is just going to walk through. All right?
这个操作就会遍历完它的，对不对？,那么，如果我给大家看看，例如？
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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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In fact, it has to be some finite number, which is the acceleration of either of these two guys.
事实上它必须是有限的数值,也就是这两个物体某中某一个的加速度
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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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Because of the fact that you're going to die, obviously enough, it's not just that you'll get whatever life you get, but there's a finite amount of life that you're going to get.
因为你会死这个事实，很显然，不只是说你得到什么样的生命，而是说你将会得到一段有限年数的生命。
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So, for example: in this case, my list is a bunch of integers. And one of the things I could take advantage of, is I'm only going to need a finite amount of space to represent an integer.
列表是一系列整数,要注意的这里的优势能够,用有限的空间来表示整数,例如，如果我想要操作。
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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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And this is the reason why enthalpy was invented and why it's so important. Because we want to know this. So this for a finite change.
这也就是为什么焓要被提出,而且如此重要的原因,因为我们想要知道这些。
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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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Do the following a bunch of times, but a finite number of times which might be useful.
按照下面重复若干次，有限次数就足够了，这很有用。
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How can you go from a finite list of symbols to an infinite number of sentences?
你如何使有限的符号,变成无限的句子
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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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That kind of problem tends to arise because they're using a language or a computer that only has finite precision and so there are rounding errors.
这类问题已经日趋严重了,由于他们使用的语言或电脑,都是精度有限的,因此存在这样的问题。
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Of course, you have allowed it to move a finite distance in a finite time.
你是让它在有限的时间内移动有限的距离
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There's a list, a finite list, of possible sounds that language can use.
语言使用的可能声音列表是有限的
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Right. There's only a finite amount of memory.
对的，这里内存是有限的。
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It's perfectly fine, but they envy us for our finite lifespans, because what we've got and they don't have is something that's for each individual rare-- something that's not lasting, something that's precious in that way.
不朽很好，但他们羡慕我们的有限寿命，因为我们有而他们没有的是,对每个人来说稀有的东西-,不会永远持久的东西，从那个层面讲珍贵的东西。
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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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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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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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