也就是二重和三重积分的内容，以及平面和空间中的向量积分。
And so that was stuff about double and triple integrals and vector calculus in the plane and in space.
那么就是在这个区域的对xdA的二重积分，当然可能和密度有关系，但在这认为密度均为。
So, it's one over the area times the double integral of xdA, well, possibly with the density, 1 but here I'm thinking uniform density one.
有一个和散度定理很像的东西，当然，对于通量和div,f的二重积分，都可以使用类似的理论。
There is a similar thing with the divergence theorem, of course, with flux and double integral of div f, you can apply exactly the same argument.
不是变量，这是在一个圆上。，R，is，not，a，variable。，You，are，on，the，circle。,这个是二重积分，如果你们这么做的话，在圆盘上，如果你们用极坐标的话,就需要用到R和θ
R This one is a double integral. So, if you are doing it, say, on a disk, you would have both R and theta if you're using polar coordinates.
在和简表演二重唱时，玛丽唱得非常好。
敌意二重奏已经开始游说并购套利者，他们购买收购目标的股份，希望能从交易价和抛售价的差额中获得盈利。
The hostile duo has begun lobbying merger arbitrageurs, who buy shares in acquisition targets hoping to profit from the gap between the trading and sale prices.
这个古典作品的特点是花腔女高音和次女高音之间的一段二重奏。
This classic piece features a duet between a coloratura soprano and and a mezzo-soprano.
比较这个二重积分的话，抱歉。。。，比较这个三重积分和通量积分，就可以看到，它们是一样的。
So, now, if I compare my double integral and, sorry, my triple integral and my flux integral, I get that they are, indeed, the same.
研究者埃玛·格雷格和史蒂芬·普鲁厄特·琼斯说，鹩莺的鸣叫是对伯劳鸟叫声的回应，所以它们几乎是在唱二重唱。
The researchers, Emma Greig and Stephen Pruett-Jones, say that the wren's song responds to the butcherbird's song, so that the two are almost singing a duet.
这种二重的劳动力市场使得一部分人在市场衰退下得以全身而退，而另一部分主要由临时工，失业人员和非法劳工构成的人却步履艰难。
This two-tier labour market divides workers into a privileged groupcocooned from the reality of recession and the disadvantaged ontemporary contracts, in unemployment or in illegal jobs.
如果做决定是由欧元区的17位成员，而不是欧盟的27位来执行，那么重建的法国和德国二重奏将会掌权。
If decisions can be taken by the 17 members of the euro zone, rather than the 27 of the eu, then the restored Franco-German duo might take charge.
在服务领域而非价格上开展竞争的专项旅游和特殊旅游运营商，将会很高兴了解这一点：“与我的兴趣相关的活动”是第二重要的因素，有65%的受访者选择了这一项。
Specialist and niche operators, which compete on areas other than price, will be pleased to note that “Activities relating to my interest” is the next most crucial factor at 65%.
杰克逊甚至在音乐里写进了一些关于父母的内容，和保罗·麦卡特尼来了一出二重唱。
Jackson even threw in a little something for the parents, a duet with Paul McCartney.
我们已经学过，二重积分和线积分。
We've learned about double integrals, and we've learned about line integrals.
不管哪种形式，都把线积分和二重积分联系在一起，来看看，能不能通过化简得到昨天的公式。
No matter which form it is, it relates a line integral to a double integral Let's just try to see if we can reduce it to the one we had yesterday.
做三重积分，和二重一样，当然，我们会有更多的坐标系。
When we do triple integrals in space, well, it is the same kind of story, except now we have, of course, more coordinate systems.
我和某人唱二重唱。
是的，2011年将标志着流行喜剧和带笑婴儿的回归，并将登上YouTube榜单的首位——这次是二重奏。
Yes, 2011 will mark the return of viral comedy and laughing babies to the top of the YouTube charts - this time as a duet!
他在后半生中不停地重复同样的策略：二重唱、摇滚吉它和太空步。
And he would spend the rest of his career trying to repeat the experience working many of the same maneuvers into his music: another duet, another rock guitar, another ratcheting dance track.
我和迈克唱二重唱。
社会风气是社会大多数人的精神风貌和行为方式，它具有群体性、连锁性和二重性的特点。
The general mood of society is the mental attitude and the way of behavior of the majority of the people.
求神帮助你把与他的关系始终都放在第一位，把你和爱人的关系放在之下的第二重要的关系。
Ask God to help you always keep your relationship with Him your top priority and your relationship with your spouse your next highest priority under that.
是第二重人格，他一直和L冲突不断，“因为两种性格完全不同。”
The next personality, C, has had a lot of conflict with 'L' 'because they are extremely opposite'.
季节性时间序列具有增长性和波动性的二重趋势。
The seasonal time series has the double trends of increasing and fluctuating.
设计了超声波换能器的结构和信号处理电路，能够实现二重气泡监测功能。
The design of structure of ultrasonic transducer and circuit for signal disposing can realize dual air bubbles monitoring function.
这是小提琴和钢琴二重奏。
利用分离变量法和二重傅里叶级数的方法，得到了矩形膜的受迫振动初边值问题的解。
By using separation of variables and double Fourier series, we obtain a solution to the initial-boundary value problem of the forced vibration of this rectangular membrane.
在理论上我们要认识到全球化具有客观性和主观性二重性。
Theoretically we should know the duality of globalization with subjectivism and objectivism.
在理论上我们要认识到全球化具有客观性和主观性二重性。
Theoretically we should know the duality of globalization with subjectivism and objectivism.
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