Programming languages have some undefined behaviors, such as what to do with misaligned pointers or when encountering signed integer overflows.

编程语言有些未定义行，例如如何处理偏离的指针以及遇到带符号整溢出时该怎么办。

But what about if something's not quite those round numbers that we often use.

但是如果碰到不是我们常使用的整的字该怎么办呢？

If everyone playing comes to this same conclusion, no one will guess higher than 67.

如果每个人都在博弈中得出同样的结论，没人会猜比 67 大的整。

So 12 is an amazing number because you can divide it by two, you can divide it by three and four and six and get whole numbers. So it's very special.

十二是个神奇的字，可以把它除以二，可以把它除以三、四、六并得到整。所以它很特别。

I multiplied my check by seven and it revealed a nearly round number. Mystery solved.

我把奖金目乘以七正好个整，谜底解开了。

You have a few minutes to choose four distinct positive whole numbers.

有几分钟时间可以选择 四个不同的正整。

So, we've used $3 billion as a nice big round number.

此取个整我们已经花掉30亿美元 。

It might've been 42, but I rounded down.

其实有 42 小时，不过我四舍五入取整了。

The 17th-century French mathematician Pierre de Fermat, states that you can't find numbers where: x to the n plus y to the n is equal to z to the n when n is a whole number greater than 2.

17世纪法国学家皮埃尔·德·费马指出，当n大于2的整时，不可能找到满足x的n次方加y的n次方等于z的n次方的字。

Just a quick disclaimer, this video has more than 10 points in it, but I wanted a nice round number for the youtube title. Stick around to the end to see what number I get up to.

简单说下，视频里会超过 10 件事，只是了有个好看的油管标题所以用了整。看到最后吧，来看看到底有几件事。

If you count the year 509 BC toward the monarchy, it lasted for 245 years, giving each of the 7 kings an average reign of 35 years. Neat, huh?

如果把509年算作君主制时期的话，君主制就持续了245年，这样，七位国王在位平均时间35年，是个整？

That's a nice round figure to deal with! OK, if you were to buy this insurance policy, your yearly fixed income from it would be 94.35 RMB.

这是个很好筹算的整。好的！如果想要买这项保险的话，那么将会每年得到固定额收入是94.35人民币。

The figure was rounded off to make it easier for you. The options were: about 700; 1,200 or 1,600.

字以整计，方便选择。选项有：约700个、1200个、1600个。

1982. This string is different from the actual number 1982. One is an integer and the other is a string.

这个字符串与实际字不同1982.个是整，另个是字符串。

You might say, imagine somebody who spends his eternity counting the integers--1, 2, 3, 4, 5, 6.

比方说 有人用他无限的生命整 二三四五六。

We could use that to figure out the empirical formula which is the simplest whole number formula.

我们可以用它来计算经验公式, 这是最简单的整公式。

You've never seen a chemical formula written with anything aside from whole numbers down here.

从来没有见过个化学公式用除了整以外的任何东西写下来。

These sorts of relationships between integers are studied in a branch of math called number theory.

有个学分支叫做 “论”，就是在研究整之间的关系。

Now, we are redefining max, so up to this line, max used to be a function, but after line 4 is executed max is set to an integer, that is the largest number in this list.

现在，我们正在重新定义 max，所以到这行止，max 曾经是个函，但是执行到第 4 行后，max 被设置个整，即这个列表中的最大。

And any positive integer, up to a certain limit, can be expressed as a sum of these numbers.

在定范围内的任何正整，都可以表示这些字之和。