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

It just so happened that they're living more fortunate than we are, you know.

只是碰巧他们活得比我们更幸福，你懂的。

比佛利山庄的购物街 - SpeakingMax英语口语达人

If he meets your army, whichever pass he chooses, if he meets your army defending a pass, then he'll lose another battalion.

如果他碰巧遇到了你设防的途径,无论崎岖之途还是平坦之途,他还要再损失一个营的兵力

耶鲁公开课 - 博弈论课程节选

Just by accident; still farming?

碰巧认识的,他还耕作吗

耶鲁公开课 - 古希腊历史简介课程节选

And he's talking with Mississippi Gene. This is at the bottom of 26: There is something so indubitably reminiscent of Big Slim Hazard in Mississippi Gene's demeanor that I said, "Do you happen to have met a fellow called Big Slim Hazard somewhere?"

他在和密西西比的吉恩讲话，在26页下面：,现在，密西西比的吉恩的行为举止有些地方真切地,让我想起关于细杆的哈查德的往事，我问：“你是否在那里碰巧遇到过一个叫细杆哈查德的人“

耶鲁公开课 - 1945年后的美国小说课程节选

And we were walking through just as they were closing up

当他们快关门的时候，我们碰巧经过，

充满人情的地方 - SpeakingMax英语口语达人

Well it happens to give me three threes in a row.

碰巧给我了个一列三个3的结果。

麻省理工公开课 - 计算机科学及编程导论课程节选

That people--they develop some investment strategy and through pure chance it does well.

人们制定了一些投资策略,一些策略的投资效果碰巧十分有效

耶鲁公开课 - 金融市场课程节选

Well, it looks like I just stole my own implementation Y but I happen to call it A and B, instead of X and Y, and so here, what's going on?

嗯，看起来我刚好像盗用了我自己的实现,我碰巧叫它为A和B，代替X和，这里，发生了什么事？

哈佛公开课 - 计算机科学课程节选

Adeimantus The two brothers, Glaucon and Adeimantus, whose exchange with Socrates occupies, for the most part, the rest of the dialogue from Book Two onward, the two brothers who, incidentally, are the brothers of Plato.

兄弟檔，Glaucon，和，和苏格拉底的对谈，占据了大部份的对话，从第二部起所有对话，这对兄弟，碰巧是柏拉图的兄弟。

耶鲁公开课 - 政治哲学导论课程节选