4 So this is 16 times 4 equals 64 and though this is not proof by any means, it's not a formal proof because here is one example that happens to prove my point.

所以是16*4，即,尽管如此，这并不是严格的证明,因为是这个例子碰巧证明了我的观点。

哈佛公开课 - 计算机科学课程节选

And if you're going from Boston to someplace else where New York just happens to be on the way, it doesn't have to recompute that part of it.

如果你是从波士顿到其他地方,而碰巧路过纽约你就不需要，重新计算从波士顿到纽约这段路了。

麻省理工公开课 - 计算机科学及编程导论课程节选

That's a fourth but it happens to produce an octave against that.

这个是四度,但它碰巧产生一个八度音阶,与另一个形成对比

耶鲁公开课 - 聆听音乐课程节选