这个动机要达到觉醒应该是二重的一个人为他自己承受幸福并且指出一条道路为他人的幸福。
The motivation for reaching Awakening should be the dual one of finding enduring happiness for oneself and of pointing the way to such happiness for others as well.
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.
丹尼斯赞扬了富勒在 Valse à laLoie 里的二重唱。
举个简单的例子，想想两个人跳华尔兹，或者弹钢琴二重唱。
As simple examples, think of two people waltzing, or playing a piano duet.
二重对数是对数的积分。
看两只猫的滑稽二重唱！
这是由于我们才刚开始做二重积分的缘故。
至此我已经得到了，用来计算二重积分的所有量。
要懂得如何计算一个函数的二重积分。
我们已经学过，如何建立这种二重积分的公式。
We've seen various formulas for how to set up the double integral.
这也就是二重积分的意义。
如果是一条闭曲线，也可以用二重积分来代替的。
If it is a closed curve, we should be able to replace it by a double integral.
这边是平面上普通的二重积分。
由于表面是二维的，所以结果是二重积分。
Because a surface is a two-dimensional object, that will end up being a double integral.
第一点就是，有些你以为是用一重积分来做的，但却通常是用二重积分来完成的。
The first one that I will mention is actually something you thought maybe you could do with a single integral, but it is useful very often to do it as a double integral.
那么我就能名正言顺地,用R上的某个函数的二重积分来替代通量的线积分。
Then I can actually -- --replace the line integral for flux by a double integral over R of some function.
除了这些，旋度还有一个用处，如果你还记得，我们讨论平面的时候,当把线积分转换成二重积分的时候。
But another place where this comes up, if you remember what we did in the plane, curl also came up when we tried to convert line integrals into double integrals.
实际上，我们对二重积分的定义并不严谨，那应该怎样严格地定义它呢？
OK, so actually, how do we define it, that's not really much of a definition yet.
如果有人问我小说家第二重要的素质是什么，这个答案也很简单：注意力—即集中有限才能完成此刻最为重要的事情的能力。
If I'm asked what the next most important quality is for a novelist, that's easy too: focus - the ability to concentrate all your limited talents on whatever's critical at the moment.
追求揭示了现代大学的二重性。
另一件关于二重积分的是，我们已经讲过了，如何做更复杂的变量变换。
OK, now another thing we've seen with double integrals is how to do more complicated changes of variables.
要计算二重积分，要做的就是要利用切面。
So, to compute this integral, what we do is actually we take slices.
第二重要的地区我相信呢会是亚洲。
第二重要的因素是选择正确的试点群体。
The second most important factor is selecting the right pilot audience.
而情人在他们的爱情二重唱中使用的言语，不是特里斯坦也不是伊索尔德，老人，在新成为的结合中并不存在。
And the words the lovers' use in their love duet is no more Tristan no more Isolde, that old persons don't exist is this new merged unity they have become.
信息治理是指与企业第二重要的资源即信息资源相关的决策活动。
Information governance represents the decision making activities for the second-most important resource of the enterprise - its information resources.
邻近的大厅安装着汽轮机，这是核电厂里第二重要的单元设备。
In the neighboring hall there is the turbine - the second most important unit in a nuclear power plant.
儿童节目中食品广告的二重形式否认、情感诉求与产品技巧……有这样良好的平衡点吗？
Dual Modality Disclaimers, Emotional Appeals and Production Techniques in Food Advertising Airing in Programs Rated for Children. Is There a Good Balance?
儿童节目中食品广告的二重形式否认、情感诉求与产品技巧……有这样良好的平衡点吗？
Dual Modality Disclaimers, Emotional Appeals and Production Techniques in Food Advertising Airing in Programs Rated for Children. Is There a Good Balance?
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