He labeled these hypothetical integers p and q.

他將這兩個假設的數 命名為 p 及 q 。

Thus, p could be expressed as 2a, where a is an integer.

因此，p 可以 2a 表示，a 是一個數。

Why that integer and what exactly does 0 represent?

为什麽是这个数，而 0 又代表什麽？

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

有一个数学分支叫做 “数论”，就是在研究数之间的关系。

In programming, we refer to these numbers as integers.

在编程中，我们将这些数字称为数。

The first two aren't very interesting: all ones, and then the positive integers, also known as natural numbers.

开头两条并不是很有趣，全都是 1。接下来是数，也被称为自然数。

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

在一定范围内的任数，都可以表示为这些数字之和。

Last episode, we talked about integers, positive whole numbers and their opposites.

上一集，我们讨论了数、数及其相反数。

It allows me still to define three integers in that array.

它仍然允许我在数组中定义三个数。

Is a woman a thinking unit at all, or a fraction always wanting its integer?

一个女人到底是一个思维单位， 还是一个总是想要它的数的分数？

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

编程语言有一些未定义行为，例如如处理偏离的指针以及遇到带符号数溢出时该怎么办。

All right, so we focused up until now on integers, really.

好吧，所以我们一直关注数，真的。

Remember the fields have to be blitable, bytes, floats, integers, stuff like that.

请记住，字段必须是可直接传送的、字节、浮点数、数等。

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

这个字符串与实际数字不同1982.一个是数，另一个是字符串。

They're just numbers, integers in fact.

它们只是数字，实际上是数。

It should be a number from one to ten, a positive integer.

它应该是从一到十的数。

And the higher frequency bins are just integer multiples of this frequency.

较高频率的 bin 只是该频率的数倍。

Which one of these numbers IS an integer?

这些数字中哪一个是数？

That number was the highest integer that the 32-bit view counter could handle, so it had to be upgraded.

该数字是 32 位视图计数器可以处理的最大数，因此必须对其进行升级。

The standard binomial theorem insist that you apply it only when N is a positive integer, which makes sense.

标准二项式定理坚持只有当 N 为数时才应用它，这是有道理的。