Now formally I could have had this pointing off to another object containing 4, but that just seemed excessive, right?
当然我可以正式的把它指向,另外一个含有4的对象,但这有点多余对不对?
And I wonder if you can articulate how you understand the people who object to your positions, and how you articulate their views in some of your responses?
我很好奇,您能否告诉我们您是怎样理解,那些反对您立场的人们的呢?,在您的回应中,您是怎样驳斥他们的观点的呢?
PROFESSOR 2: I just want to maybe mention that in some of the reading, you'll see terms like object equality and value equality, instead of shallow equality and deep equality.
教授2:我就是想提醒下,大家阅读的时候请注意,你们会看到对象相等和值相等,而不是浅意义相等和深意义相等,教授:好,那么,这个对象。
Then, you've got to say, "What do I have to know about this object at the initial time?
然后,也许你会问,我需要知道物体初始状态的哪些信息呢
When I refer to the car in 1990 I mean to be talking about the entire extended-through-time object.
但我提到1990年的车0,我是想说,整个贯穿时间的物体。
I am always already in possession of an interpretation of whatever object I look at, which isn't at all to say that my interpretation is correct.
我总是对我所看的任何事物,已经有了一定的解读,但不能说我的解读是正确的。
So I hope you will not object to that, because you don't have microphones on you, and it's very cumbersome to get them back to you, so we're not going to mike you so that your answers can be heard.
所以我希望你们不要反对,因为你们没有麦克风,把麦克风传过去给你们会很费事,所以我不会让你们借助麦克风,来让我们听到你的回答。
And fairly soon into the conversation I demonstrated some principle that you've probably learned in your physics class having to do with an object at rest remaining at rest unless acted upon by a force.
很快,在交谈中,我就展示了一些原理,可能你们在物理课上学过,要使静止的物体保持静止,必须有外力作用。
So I differentiated this object, this is my first derivative and I set it equal to 0 Now in a second I'm going to work with that, but I want to make sure i'm going to find a maximum and not a minimum, so how do I make sure I'm finding a maximum and not a minimum?
这样我就对它求出导数了,这是一阶导数,令它等于0,一会我们就要计算了,但我先确定一下是最大值还是最小值,我怎么确定是最大值还是最小值呢
So I could get to that object either through this path or through that path, it didn't matter which path I use to modify it, I would see it when I looked at the other. Yes.
另外一条绑定获得这个对象,无论我通过哪个绑定来修改它,我都能在两个绑定中都看到做的改变,是这样的。
So I'm going to now build an object, it's going to represent a point.
基本上说我们想要明白,这是个什么类型的对象。
And then to create the object, I'll simply do a set of inserts.
我将此返回做为我的集合,然后创建对象,我会一系统简单的插入操作。
And what I referring to wasn't just the caboose but the whole long extended-through-space object.
我指的不仅仅是车尾,而是整个长长的,贯穿空间的物体。
Because any velocity I ascribe to a particle or an object, you will add a certain constant to it by the law of composition of velocity.
因为我描述的任何一个质点或者物体的速度,你都要根据速度叠加法则,给它加上某个常数
I believe the attempts to establish the existence of a soul, an immaterial object, the house of consciousness separate and distinct from the body, I think those arguments fail.
我认为,无论是试图证明,灵魂作为一种非物质的东西,而存在,还是证明心灵,这个意识的处所,独立于肉体,我认为这些论证都不成立
I think it's clear, the position of the object with respect to the ground, this vector is the same as the position of the object with respect to the plane, plus the position of the plane with respect to the ground.
我觉得很明显,物体相对于地面的位置,这个矢量等于,物体相对于平面的位置矢量,加上物体相对于地面的位置矢量
But of course, as we know and thinking about familiar objects, we don't need to have every single piece of an object, of an identity stay the same to have the same feeling.So-- I think previously I talked about the steering wheel on my car.
但很明显的,根据我们的常识,我们不需要要求,所有的物体,都保持不变,从而得到同一个肉体-,我记得我之前讨论过,我的汽车的方向盘。
So I would help myself to this language of space-time worm object that extends not only over space but also over time, and distinguish the entire worm from the various slices or stages that either make up the worm or we could slice the worm into.
然后我借助时间虫这个词,这是描写物体,贯穿时间和空间的词语,并区分出整条虫,和不同的部分,这些部分是组成虫,或者虫可以切分成的。
What is it you have to know about this object that was thrown, I claim, is the initial location of the object and the initial velocity.
关于这个物体,我们需要了解什么,我要强调的,就是这个物体的初位置和初速度
So I realize that the constant, c, is the initial location of the object, and it's very common to denote that by x0.
所以我发现常数c,就是物体的初位移,我们习惯用x0表示
You're asking, "How much i and how much j do I need to build the same object?"
你们会问,"需要多少倍的 i 和多少倍的 j,来构成同一个矢量呢"
So I'm going to differentiate this object again with respect to S1,.
我们再次对S1求导
Now, I've not given you any other example besides the displacement vector, but at the moment, we'll define a vector to be any object which looks like some multiple of i plus some multiple of j.
除了位移矢量之外,我就不再举其他的例子了,但是现在我们要定义一个矢量,可以表示为 i 的倍数加上 j 的倍数
I think you can tell by analogy with what I did in one dimension that the position of that object at any time t is going to be the initial position plus velocity times t plus one half a t square.
你们可以类比一下我在一维情况下的结论,这个物体在任意时刻 t 的位移,等于初始位移,加上 v ? t + 1/2 ? a ? t^2
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