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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