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1·The pigeonhole principle (more generalized)

鸽子洞原理（更为广义）

2·Amazingly, this is also about the pigeonhole principle!

令人惊奇的是，这同样是鸽子洞原理的运用！

3·By the pigeonhole principle, at least two must be of the same color.

由鸽子洞原理，至少有2只有相同的颜色。

4·By the pigeonhole principle, two of the Numbers must be the same.

据鸽子洞原理，有2个数字必然相同。

5·The pigeonhole principle is a important principle in combinatorics.

鸽巢原理是组合学中一个非常重要的原理。

6·There is another version of the pigeonhole principle that comes in handy.

另外一种版本的鸽子洞原理迟早也能碰到。

7·Now that we have a good grasp on the pigeonhole principle, let's see how it can be used.

现在我们对鸽子洞原理有了较好的理解，现在来是怎么运用的。

8·By the pigeonhole principle, two of those turkeys must have the same weight to the nearest millionth.

根据鸽子洞原理，其中的2只火鸡体重最接近于精确到百万分之一磅的数值。

9·Using essentially the same argument, we can prove the following more general statement of the pigeonhole principle.

用实质上相同的论证，我们可以证明下面关于鸽巢原理更一般的结论。

10·By the pigeonhole principle, the point is either connected to at least three other points or not connected to at least three other points.

根据鸽子洞原理，这个点要么至少与其它三个点相连，要么至少没有与其它三个点相连。