Columbus Circle has great stores. It's fairly new, I think.
在哥伦布环岛里有很棒的商店。我认为它是相当新的。
It's what we probably all have heard about and something that I will briefly try to describe, what's called the hermeneutic circle.
也许我们大家都听说过,我会简单介绍一下,那就是所谓诠释循环。
So that's what I can tell you about Columbus Circle.
那就是我能告诉你的关于哥伦布环岛的信息。
Pick a time. Let's say, if I go a quarter of a circle, I expect to be moving to the left.
选一个时间,例如我走四分之一圈,我想向左走
So let's look at a couple of passages from your sheet, from Heidegger's Being and Time, from his analytic of the hermeneutic circle, and see what Heidegger has to say about this claim.
所以我们看几篇文章,摘自海德格尔的存在与时间,从他对于解释学循环的分析,看看海德格尔对这个观点看法是何。
Now take that circle that you have just created-- Can you see? That's a circle.
把这个围起来的圆圈-,看到吗?,这是个圆圈。
It makes sense to draw the wave function as a circle, because we do know that 1 s orbitals are spherically symmetric.
把波函数画成一个圆是有道理的,因为我们知道1s轨道是球对称的。
Silver was S with a circle.
银是S加上一个圈。
You've got to ask yourself, let the time it takes to do a full circle, that's the time period, do a full circle.
你已经问你自己了,留足够的时间让它运动一整圈,那就是运动整个圆周的时间周期
When a body is going around a circle, they say that's some centrifugal force acting.
如果一个物体做圆周运动,他们就说有离心力作用于这个物体
It's related to the frequency with which you go around the circle Why is that?
它也跟圆周运动的频率有关,为什么呢
That's not true. A circle isn't at all necessarily vicious.
循环不必然是恶性的。
Let's take a circle and just keep a quarter of the circle.
我们来画一个圆,只画四分之一圆即可
I'm asking what's the tangential speed as it moves along the circle?
它在做圆周运动时,切向速度是多少
This describes a particle that's going around in a circle.
这个式子描述了质点的圆周运动
It's going around a circle.
它沿着圆周运动
So, we can say that a circle is a good approximation for a 1 s wave function.
所以我们说一个圆是,对1s波函数的好的近似。
So that a half circle, instead of calling it 180 degrees, And a quarter circle, instead of 90, It's good to know certain famous angles.
半圆,不说它是180°,四分之一圆,不叫90°,知道一些常用的角度很有必要
Okay. For those who have not seen a radian, it's just another way to measure angle with the understanding that a full circle, which we used to think is 360 degrees, So a radian is roughly 60 degrees.
我想告诉那些还不懂弧度制的同学,这是衡量角度的另一种方法,理解起来是这样的,对于一个整圆,也就是我们之前所说的360°,所以1弧度大约是60°
Whenever you see a particle moving in a circle, even if it's at a constant speed, it has an acceleration, v square over r directed towards the center.
只要看到质点做圆周运动,即使是匀速圆周运动,也存在一个加速度,大小为 v^2 / r,方向指向圆心
So we know it's moving on a circle of radius r.
因此这个质点始终在做半径为 r 的圆周运动
If it's going in a circle, you will say from now on, that it, indeed, has an acceleration, even though no one's stepping on the accelerator, of amount v^2 over R.
如果它在一个圆周上运动,你会说从现在起它其实有加速度,即使没有人去踩油门,加速度大小为 v^2 / R
We know it's going around in a circle because if I find the length of this vector, which is the x-square part, plus the y-square part, I just get r square at all times, because sine square plus cosine square is one.
我们之所以知道它做圆周运动,是因为我求出了这个矢量的模长,也就是 x 的平方加上 y 的平方,我就得到了它在任意时刻的模长平方,因为正弦平方加余弦平方始终等于1
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