To people reading these documents, the distinction between words and pictures of words makes little difference, but for a computer the picture is almost unintelligible. Consider a circle. Should it be read it as a zero, the letter 'O', just a circle, or the ring from my coffee cup? People learn to answer this kind of question very quickly, but for the computer it is a painstaking and error-prone process.
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The cycle is not, however, just a circle.
但是,这个循环不是一个简单的反复。
To remind ourselves that we are doing it along a closed curve, very often we put just a circle for the integral to tell us this is a curve that closes on itself.
为了提醒我们是在封闭曲线上做积分,经常在积分符号上加个圆圈,告诉我们,这条曲线自我封闭。
Well, it's just the area of a unit circle.
这就等于一个单位圆的面积。
Now take that circle that you have just created-- Can you see? That's a circle.
把这个围起来的圆圈-,看到吗?,这是个圆圈。
Let's take a circle and just keep a quarter of the circle.
我们来画一个圆,只画四分之一圆即可
Okay. For those who have not seen a radian, it's just another way to measure angle with the understanding that a full circle, which we used to think is 360 degrees, So a radian is roughly 60 degrees.
我想告诉那些还不懂弧度制的同学,这是衡量角度的另一种方法,理解起来是这样的,对于一个整圆,也就是我们之前所说的360°,所以1弧度大约是60°
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