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那θ取值范围是什么呢？Now, what are the bounds for theta?
顺便说一下，θ的平均值是什么？By the way, what is the average of theta?
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根据链式法则，我得到θ点。With the chain rule, gives me a theta dot.
面积元就变成了rdrdθAnd then the area element becomes r dr d theta.
也可把r，θ转换为。x y But, we can also switch from r theta to xy.
我们求解出了用dθ来表示的。db And, we can solve for db in terms of d theta.
如果不用angles的话，你会用些什么词去描述角度呢？On what else do you use theta for, if not angles?
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我希望能看到θ，而不希望看到。R I want to see a theta. I don't want to see an R.
简而言之，输入角。theta And, I'm going to abbreviate, just put theta.
斜边的边长是2a，这个角度是θThe hypotenuse here has length 2a.This angle is theta.
西塔派，我们以你为荣！至死不渝，女生会！Theta pi, we honor thee! from life to death, sorority!
小角度-,我们不会让θ,变得很大。Small-angle-- we will not allow theta to become too large.
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建议我们调整进入奥米克戎区矢量J太塔区的再入点。Recommend we adjust re-entry point to Omicron J-Vector Theta.
是用dφdθ表示的。，We，know，what，n，dS，are，in，terms，of，d，phi，，d，theta。,你可以用φ和θ，将球面参数化。ndS Well, you could parametize a sphere in terms of phi and theta.
把右边当成b和θ的函数来做微分。And, differentiate the right-hand side as a function of b and theta.
如果θ取值为0到2π，θ的平均值就是πIf you take theta to from zero to 2pi, the average theta will be pi.
就是从0到π/2，对1/4dθ积分。So, it is the integral from zero to pi over two of one-quarter d theta.
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如果θ取值为-π到π，θ的平均值就是。If you take it to go from minus pi to pi,the average theta will be zero.
ω，θ两点,是角速度，是不变的。Omega here, theta dot, is the angular velocity, which is not a constant.
我们的目标是来看看当我稍微改变θ时将会怎样变化。The goal is to see how things change when I change theta by a little bit.