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You see, the quantum condition, by putting quantization into the moangular mentum it is propagated through the entire system. Orbit dimensions are quantized.
你们看，量子条件，通过把,角动量量子化，它就能在这个系统中进行传播,同时轨道大小也被量子化。
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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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And we challenge ourselves to do the system design so that we responsibly took into account all of the dimensions that we talked about at the beginning.
我们通过做这个,制度设计挑战自我,以便于充分考虑,我们最初谈到的,所有方面。
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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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- So I'll have a decaf double espresso mocha skinny with a-- ?" What? What other dimensions are there? Right?
我要一杯双倍浓度无咖啡因的穆哈咖啡-,还有什么其他种类？
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But in practice, it's really easy to say this person doesn't match in there but does match up along so many dimensions.
但在现实生活中，人们总是会找这样的借口,这个人在这一方面不行，可还有很多方面适合。
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Because they represent dimensions of experience formerly excluded from the elevated, idealized discourse that is poetry, dimensions of experience excluded as prosaic.
因为它们分别代表了原先经验的多维化,却将提升的理想化的论道即诗歌排除在外，将无趣的经验也排除在外。
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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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So let me go ahead and pull up the staff solution 15 to the standard edition for a moment, the game is called 15, it takes one command line argument which is the dimensions of the board 3 by 3, 4 by 4, I'll do it 4 by 4.
下面我们继续,等一会儿，我会给出标准的解答，这个游戏叫做，有一个命令行参数，标识其大小是,3阶还是4阶，我选择4阶。
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Think about dimensions of painting or architecture perhaps but what are the two dimensions of music?
想想绘画或者建筑的维度,那么音乐的两个维度又是什么呢
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There's even some empirical work on just how high dimensions are really involved in elections.
甚至会有实际经验表明,多维度在选举中是多么举足轻重
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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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But role-playing takes on dimensions of the state.
不过这种逢场作戏无处不在
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Further, the nucleus is assumed to be the seat of the essential part of the mass of the atom, and to have linear dimensions exceedingly small compared with the linear dimensions of the whole atom."
进一步的，核被认为是,原子主要质量所在的地方，和整个原子线性尺度相比,核具有很好的线性尺度“
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And talk about it and describe it to you along each one of the five dimensions we've laid out in the beginning.
我会依据最开始,提出的五个方面,一一向你们讲述。
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And it is at you peril that you ignore any one of these dimensions.
忽视任何一个方面,都是不好的。
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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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If you live in two dimensions or more, you've got to use vectors to describe most things.
如果你要考虑二维或二维以上的问题,大多数情况下需要用矢量来描述
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I can't explain this because classical physics doesn't work at atomic dimensions.
我不能解释这个,因为经典物理在不适用,就原子尺度而言。
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So, when you go to two dimensions, you need a pair of numbers.
因此在二维空间里,你需要一对数字来描述
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These other two, primaries and higher dimensions, they're both great points.
另外两个约束条件,初选和多维度,这二者都是很有现实意义的
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