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。

In programming, we refer to these numbers as integers.

在编程中，我们将这些字称为。

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

有一个学分支叫做 “论”，就是在研之间的关系。

Why that integer and what exactly does 0 represent?

为什麽是这个，而 0 代表什麽？

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

开头两条并不是有，全都是 1。接下来是正，也被称为自然。

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

在一定范围内的任何正，都可以表示为这些字之和。

Is that going from all the integers to the odd ones?

是从所有到奇吗？

So you could represent any positive integer this way.

因此您可以用这种方式表示任何正。

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

上一集，我们讨论了、正及其相反。

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的分？

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，例如如何处理偏离的指针以及遇到带符号溢出时该怎么办。

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、等。

They're just numbers, integers in fact.

它们只是字，实际上是。

Which one of these numbers IS an integer?

这些字中哪一个是？

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

好吧，所以我们一直关注，真的。

So for both turning the square and adding integers, our identity here is zero, not very exciting.

所以对于转动平方和添加，我们在这里的恒等式都是零，不是令人兴奋。

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

它应该是从一到十的正。

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

较高频率的 bin 只是该频率的倍。

And an integer, recall, in CS50 IDE is 4 bytes.

在cs50ide中，一个是4字节。