The images you'll see are a little something like this-- absolutely mesmerizing what will be on each of your screens and oh there is also some popcorn toward term's end.
你会看到一些这样的图片-,出现在屏幕上的那些有趣的照片,学期结束时还有爆米花吃。
And so the very same moment will be the end of my body, the end of my existence,the end of my personhood.
这一刻就是我肉体的灭亡,我的存在的停止,我作为人的消亡。
Wednesday will be the test, Test 1, and I will say a few words about that, coverage through the end of lecture on Wednesday.
星期三会有测试,测试,我将说一些关于考试的事,周三的考试内容,涉及到这节课的末尾部分。
The big question for American now is whether there will be light at the end of the tunnel after more than 8 years of war there, after all that life lost and fouture spent.
现在对于美国一个重要的问题就是,是否有曙光的出现,8年的战争中,美国政府花费了大量的金钱,很多人也因为战争也失去了生命。
For example, if you started here and you did all this and you came back here, the average velocity would be zero, because you start and end at the same value of x, you get something; 0 divided by time will still be 0.
例如,如果你从这里开始运动,经过这个过程又回到这里,平均速度就是0,因为初态和末态的位移相同,你得到了什么呢,0除以时间还是0
That could be an epigraph on this course, if you like, because in the end when this Civil War will finally come both sides will say over and over and over again that they are only fighting for liberty.
你愿意的话,也可以把这两个词记下来,因为在最后,当内战最终打响的时候,双方都会一遍又一遍地重申,他们只是为了自由而战
Anyway, you have to overcome these-- you have to think that ... if you go into the field you would probably-- If you're successful-- you would probably end up as a philanthropist; but no movie will be made about your life and you may encounter hostility the whole way.
不管怎样,你们要克服这种想法-,你们要认为,如果你进入这一行,你很可能-,如果你成功了-,你很可能成为一位慈善家;,但是不会有电影记录你的人生,而且你可能整天遭受白眼。
as long as it's small and finite, will lead to some small infinite errors in the formula, but remember it's got to be in the end made to be vanishingly small.
只要它只是有限小,就会在公式中引起无限小的误差,但请记住,Δt最后变得难以察觉地小
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