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整数溢出时该怎么办。

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

这个字符串数字不同1982.一个是整数，另一个是字符串。

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”，就是在研究整数之间的关系。

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整数，都以表示为这些数字之和。

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，所以到这一行为止，max 曾经是一个函数，但是执行到第 4 行后，max 被设置为一个整数，即这个列表中的最大数。

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。接下来是正整数，也被称为自然数。

According to Pythagoras Theorem, the diagonal length would be square root of two; but try as he might, Hippasus could not express this as a ratio of two integers.

根据毕达哥拉斯的理论，这个正方形的对角线长度应该为根号二；但是无论希帕索斯如何尝试，都不能将根号二变为两个整数的比例形式。

So int is short for integer and that represents a whole number and str is short for string, so here we're subtracting a string from an integer, and Python doesn't know what to do with it.

因此int是整数的缩写，表示整数而str是字符串的缩写，所以这里我们减去一个整数的字符串，Python不知道如何处理它。

He labeled these hypothetical integers p and q.

他將這兩個假設的整數 命名為 p 及 q 。

So, you have learned that in Python programming language you have 2 types of numbers, integers which are whole numbers like 10, they don't have a decimal point, and floating point numbers or floats.

所以，你已经了解到在 Python 编程语言中你有 2 种类型的数字，整数是整数，如 10，它们没有小数点，以及浮点数或浮点数。

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

因此，p 以 2a 表示，a 是一個整數。

Python doesn't know what to do with it. So in this case, we should convert this number by an integer or float and then multiply by 0.45.

Python不知道如何处理它。所以在这种情况下，我们应该转换这个数字用整数或浮点数再乘以0.45。

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

它应该是从一到十的正整数。

Which one of these numbers IS an integer?

哪一个数字是整数？

So you could represent any positive integer this way.

因此您以用这种方式表示任何正整数。

We just, that's how we map now all the space to these sequence of integers.

我们正是通过这种方式，将整个空间映射为一系列整数序列。

We're going to do whole, we're going to stay on the integers.

我们将继续专注于整数。

So, each of these cases is categorised on four metrics with a standard integer scale.

因此，每个案例都依据四个标准指标进行分类，采用标准的整数评分体系。

I like to avoid integers and whole numbers.

我喜欢避开整数和完全数。

And if I sent an integer of 42 and I said as const at the end of that, I want in my component to know that that is 42.

如果我传入一个整数42，并在末尾声明为`const`，我希望在我的组件中能够明确知道这个值就是42。