我会增加角度…,慢慢增加。
但是,随着角度的增加,误差开始变大,这种简单的方法就不是很适用了。
However, as the angles increase, the errors begin to accumulate, and the naive approach no longer works so well.
但是,随着角度增加到 360 度、720 度(4 pi 弧度)以及更大时,泰勒级数就逐渐需要更多条件来进行准确计算。
However as the angle increases to 360 degrees, 720 degrees (4 pi radians), and more, the Taylor series requires progressively more terms for accurate computation.
The angle is increasing at a steady rate, so we know it's going at a steady speed.
转过的角度以恒定速率增加,所以我们知道它以一个恒定的速度运动
As time increases, the angle increases and we can ask, "How long does it take for the particle to come back to the starting point?"
这个角度随着时间在增加,我们会问,"质点需要多长时间,才能转到起点"
As t increases, this angle increases and the particle goes round and round.
随着 t 的增加,这个角度也在增大,这个质点不停地转圈
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