theta

1. The threshold is called theta.
阈值称为theta。

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2. theta, y=1, else y=0.
当 a >=theta 时y=1,反之 y=0。

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3. So there's no restriction on theta.
在θ上没有限制。

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4. With the chain rule, gives me a theta dot.
根据链式法则,我得到θ点。

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5. Notice it's no longer even a function of theta.
注意,它不再是,关于θ的函数。

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6. But, we have the constraint, a equals b cosine theta.
但是我们有约束条件,a=b*cosθ

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7. R Now, v equals omega R, R so that equals theta dot times R.
现在v等于ω,即等于θ点乘以。

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8. So, that means what you're doing is you're fixing the value of theta.
就是说,要做的是固定θ的值。

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9. Well, we do that by figuring out how b depends on theta when a is fixed.
,算出了b是在a不变的情形下,它是怎样依赖于θ?

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10. Plus the potential energy, which is mg times R times one minus cosine theta.
加上势能,也就是mg乘以R乘以,1/cosθ

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11. This number can be larger than zero >0 if the sine theta is larger than zero.
这个数字可以大于,只要sinθ

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12. dxdy Last time I told you if we have dx dy we could switch it to r dr d theta.
上一次课提到,如果给出,我们可以把它转换为rdrdθ

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13. The two flips out, which eats up this two, so I get mg R and then I get a theta.
这两个没用了,被抵消,所以得到mgR和θ

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14. If now we want to know what f prime is, f v/c plus v over c times the cosine of theta.
若想知道f撇的大小,撇等于f乘以1,then,f,prime,equals,f,times,one,加上,乘以cosθ

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15. Now we forced this potential energy... we forced it into being dependent on theta squared.
现在我们使得势能。,我们强迫它,随着θ的平方而变。

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16. So we get 2gl times the sine of theta mu k*cos 2 and the whole thing to the power one-half.
所以我们得到2gl*sinθ,θ,minus,mu,of,k,times,the,cosine,of,theta,所有项除以。

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17. Well, you could call that the rate of change of theta with respect to theta with a constant.
你可以称之为,保持a不变,θ关于θ自身的变化率。

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18. Since there is no acceleration in the y direction, the normal force must be also mg cosine theta.
既然在y方向上,没有加速度,法向力也等于mgcosθ

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19. The velocity of that object as a function of theta is given Rd And I can make you see that very easily.
物体的速度,和θ的关系是,θ/dt,by,R,d,theta/dt。,我可让你们简单得看。

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20. Then this is the component in your direction we call that the radial component which is v cosine theta.
这是y方向的,组成因素,我们称之为辐射组成,等于vcosθ

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21. R And the track has a radius R, and at this moment in time the angle equals theta, and here is the object.
轨道半径是,在这个时刻,角度等于θ,这是物体。

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22. So, we set this to be zero. Theta, well, we are very happy because we want to express things in terms of theta.
所以我们令它等于零,很好,我们很高兴,因为我们就是想用θ来表示。

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23. This is a constant, and so you're going max to get theta equals theta maximum times the cosine omega t plus phi.
这是不变的,所以得到θ=θ,乘以cosωt+π

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24. So it is this component, v cosine theta - which we call the radial velocity-- that is minus 100 kilometers per second.
这个成分,是vcosθ,我们叫做径向速度-,等于-100,公里每秒。

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25. Meanwhile, the anti-X particle decays either to an antineutron or to two "hidden" antiparticles: anti-Y and anti-theta.
同时,一个反“X”粒子要么衰变成一个反中子,要么衰变成两个未知的粒子:反“Y”粒子和反“θ”粒子。

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26. See, this is the same formula as the one over there, just piding everything by partial theta and with subscripts little a.
这和那边的公式是一样的,只是通过偏θ和下标a把所有的事情分开,如果对你来说用这种方法更容易理解。

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27. Say, polar coordinates. Let's say that I have a function but is defined in terms of the polar coordinate variables on theta.
比如说极坐标,有一个函数,是根据极坐标θ定义的。

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28. Or, the other way around, I have a function of x and y and I want to express it in terms of the polar coordinates r and theta.
反过来,有一个关于x和y的函数,也可以表示成极坐标r和θ

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29. So, it is possible to treat -1 as a constant input whose weight, theta, is adjusted in learning, or, to use the technical term, training.
所以,我们可以把-1看成一个常量输入,它的权系数theta在学习(或者用技术术语,称为 培训)的过程中进行调整。

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30. So, it is possible to treat -1 as a constant input whose weight, theta, is adjusted in learning, or, to use the technical term, training.
所以,我们可以把-1看成一个常量输入,它的权系数theta在学习(或者用技术术语,称为 培训)的过程中进行调整。

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