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Instead, we have a certain energy, we have certain geometric constraints, we have a certain energy constraint and these fall out.
然而，我们有确定的能量，我们有某些几何约束，我们有某些能量约束。
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That is to say the instant atom arrangement.
也就是原子的几何排布类型。
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Some of these questions that look very straightforward just naming the geometry, you have to remember to do the first step before you jump in and go ahead with a naming.
有些题目是十分直接的,仅仅是说出几何形状，你们要记住在说出它的形状之前,还有一步工作要做。
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So an easy thing to do in planar geometry is I want to make a line segment.
在平面几何里比较容易的一件事,就是做一个线段。
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If they acted with a kind of mechanical necessity or even geometric necessity, they could not possibly be moral laws in that way.
如果这些法则有机械上,或者几何上的必须性的话，它们就不能被称作道德法则。
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What he says you should do instead is to take the geometric average of gross returns.
他认为应该,对每年的收益求几何平均
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And we learned how to prove the Pythagorean Theorem in Euclidean geometry, starting with the various axioms in Euclidean geometry, ba, ba-ba, ba-ba, ba-ba, ba bum.
我们都学习过,欧几里得几何中对勾股定理的证明方法,从繁杂的欧氏几何的公理开始,邦,邦邦,邦邦,邦邦
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Because very often,if we only study the average, we only see the average,we only see the geometric shapes and completely missed the children on the bus.
因为很多时候，如果我们只研究平均水平，那就只会看到平均的结果，只看到几何形状,完全忽略了汽车上的孩子。
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So, for instance,you will see references to words like proto-geometric.
所以 举例来说,你会看到,参照的术语有像"原几何"
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It's a geometric factor that's unique for each crystal structure.
特有的几何参数,对不同晶型而言。
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This is called the geometric average and it's used only for positive numbers.
这种平均叫几何平均,只能用于正的数值
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So here's the example I'm going to start with.
做二维几何的程序,关于平面上的点。
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These would be the very earliest kinds of pots that have geometric designs on them, then comes the geometric period and the orientalizing period; all of these refer to pottery styles.
这些是非常早期的陶锅,上面有一些几何形的图案,之后是"几何时期"和"东方风格"时期,这些都是根据陶器的艺术风格划分的
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The length of a line segment?
好，几何学是怎么说的来着？
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In class on Monday, we did go over the geometries, and the geometries themselves are very straightforward, once you know what the Lewis structure is, but remember, you can't just always look at a molecule and automatically know the Lewis structure.
在周一的课上，我们讲过了几何形状，一旦你们知道了Lewis结构，这些几何形状是十分直接的，但记住，你不能总是仅仅看一眼,分子就知道它的Lewis结构。
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