Once you know those, you can find the position of the object at all future times.

只要知道了这些,你就能知道物体在任意时刻的位置

耶鲁公开课 - 基础物理课程节选

It says that the forward rate, which you can compute from today's newspaper or from today's website--you can compute the forward rates for all future dates.

这些告诉我们,人们可以从今天的报纸,或网上的信息中计算出,未来任意时刻的远期利率

耶鲁公开课 - 金融市场课程节选

The answer was: at any time t, the location of the particle is given by this formula.

答案是,在任意时刻 t,这个质点的位移都由这个式子给出

耶鲁公开课 - 基础物理课程节选

What Hicks said is that in these term structures, actually, I've just showed the one-period, he had one-period forward rate-- but you could do it over any combination and you can get forward rates of any maturity at any future date.

希克斯指出利率期限结构中,我刚才给你们演示了,希克斯是如何推导一年期远期利率的,但是你们通过其他组合重新推导,还算出未来任意时刻,期限的远期利率

耶鲁公开课 - 金融市场课程节选

Consequently, for this object the position y, at any time t is known to be 15+10t-5t^.

因此,对这个物体来说,在任意时刻的位移y,就应该为15+10t-5t^

耶鲁公开课 - 基础物理课程节选

So this is the fate of this person at any given time t.

所以这就是这个人在任意时刻 t 的状态

耶鲁公开课 - 基础物理课程节选

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

耶鲁公开课 - 基础物理课程节选

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

耶鲁公开课 - 基础物理课程节选