You're going to see the arguments about space if you take some of the courses that follow on, and again, some nice courses about that. For this course, we're not going to worry about space that much. What we're really going to focus on is time.
在以后的其他课程上你们,会学到一些关于空间的参数,一些讲这个的,很不错的课程,但是在这门课上,我们并不太关心空间问题,我们真正关心的是时间问题。
Well, so I mean, he is... when he invented all the theory about the space time and all this,
嗯,他呢……他发明所有这些空间时间理论的时候,
I have constant time access which is great, but I paid a price, which is I had to use up some space.
我的访问时间现在是常数级别,这个非常的棒,但是我也付出了代价,不得不使用更多的空间,在整数的例子中。
Is the space-time worm that makes up this car the same sapce-time worm as the one ? that made up my car?
这辆车的时空虫,跟我那辆车的时空虫,是不是一样的?
Parole is the unfolding in time of a set of possibilities given in space, that set of possibilities being what Saussure calls "langue."
个人语言是一系列以一定时间顺序排列的,语言的可能的组合,而语言则是一个特定群体共享的“
For example, I don't have more space to write, if this is time and this is earnings-- if your earnings were,say, flat and suddenly increased like that, they wouldn't believe this increase at first, so the board would decide to adjust only, say, half way up.
例如,没地方写了,横轴是时间,纵轴是收益,如果你的收益,一直平稳,突然间提高,他们刚开始不敢相信这种增长,董事们决定只小幅增加,如增到一半
When we do relativity, we'll be dealing with vectors in space-time and we'll find that different observers disagree on what is this and what is that.
我们学习相对论的时侯,会涉及到时空矢量的问题,我们会发现观测者们对于观测的结果,有着不同的看法
and what the relevance is of all this space time physics and all this, and how...
空间时间物理的相关性还有这全部,还有如何……
In dynamic programming, one of the things that's going on is we're trading time for space.
在动态编程法中我们是在用,空间换时间,除了动态编程法。
The point that I'd been emphasizing is well first point of course has been don't confuse the stages with the entire space-time worm.
我所强调的点是,第一个点当然是,别混淆了阶段,和整条时间虫。
Is there a single space-time worm here?
是一条时空虫?
And we're asking: Is that the very same space-time worm as the one we picked out previously or a different space-time worm ? than the one we picked out previously?
然后我们问:,这条时空虫,跟我们之前指的一样吗,还是和我们之前指的,不是同一条时空虫?
So the number two, the numbers, three, whatever it is, whatever they are, are these Platonic abstract entities that don't exist in space and time.
因而,数字2,数字3,不管它们是什么,至少它们都是不存在于时空中的,柏拉图式的抽象实体
Or to put it in terms of stages, that person's got to be--that stage, that slice has to be part of the very same extended-through-time space-time worm as this stage is.
以阶段来说,那个人,那个阶段,那个部分,和这个阶段,有着同样的贯穿时间的,时间虫。
So what we would like to do is to describe what the object does by drawing a graph of time versus space and the graph would be something like this.
然后我们要做的就是描述这个物体的运动,通过画一个"x-t"图,画出来的图就像这样
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