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。
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。
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。
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
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
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。
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
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。
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。
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
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。
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。
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。
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
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
Right. There's only a finite amount of memory.
对的,这里内存是有限的。
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。
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。
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
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。
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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