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Photocopiers print in two dimensions. Now,imagine how this would work for three dimensions.
VOA: special.2010.10.29
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For most of us, we can go up to three dimensions because we know we live in a three-dimensional world.
对于大多数人来说,我们最多可以考虑三维,因为我们生活在一个三维世界
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And I think sometimes on the teeter-totter of each of those three dimensions were teetering where I wish we were tottering a little more as our products are more complicated.
我想有时这就像坐跷跷板,三个维度都在摇晃不定，无法抉择,比我们的产品生产还复杂一些。
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The reason there are three quantum numbers is we're describing an orbital in three dimensions, so it makes sense that we would need to describe in terms of three different quantum numbers.
我们需要，3个量子数的原因,是因为我们描述的是一个，三维的轨道，所以我们需要，3个不同的量子数,来描述它。
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Then next week we'll do more complicated problems that involve motion in higher dimensions, how to go to two dimensions or three dimensions.
下周我们将会处理更复杂的问题,包括更高维数的物体运动,如何处理二维以及三维运动
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I believe religious pluralism has three dimensions: No. 1, respect for people's religious identities ; including people with no religious identities; No. 2, positive relationships between different people ; of different religious communities; and No. 3, a collective commitment to the common good.
我认为宗教多元主义分为三个层面：,第一是对人们不同的宗教身份的尊重,包括对无宗教信仰的人的尊重;,第二是来自不同宗教社区的,不同人间的良好关系;,第三是共同致力于公共利益。
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So that you take every sodium and you count all of its nearest neighbors, next nearest neighbors, next next nearest neighbors, not only on a line but in the plane and above and below in all three dimensions and go through that calculation, it is even more negative.
你考虑到每一个钠原子,你要考虑到它最近的原子，第二近的原子，第三近的原子，不是在一条线而是在一个面上,以及面上与面下的三维空间,再完成计算，这将会更负。
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There's only one occasion where it helps to go to three dimensions because there are certain things you can do in 3D you cannot do in less than 3D.
只有一种情况下进入三维是有意义的,因为有些事情你能在三维空间内完成,但低于三维就做不到了
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And then, if you go the real sodium chloride crystal and you do this same calculation but in three-dimensions.
接下来，如果回到实际的氯化钠晶体中,你们做同样的计算,但是是在三维中。
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