Do we use the real numbers or do we approximate?

我们数还近似值？

And then we'll do a bunch of calculations with real numbers.

然后我们会数做一堆计算。

By the way, million is a real number.

顺便说一句，百万一个数。

Or more real numbers between 0 and 1?

还0和1之间的更多数?

There's an infinite number of floating point real numbers in the world.

世界上有无数的浮点数。

You could choose any real number in the interval [0,4].

您以选择区间[0,4]中的任何数。

There was float, which is a real number with a decimal point.

有一个浮点数，一个带小数点的数。

Then I would finally be able to explain to my mother my art with real numbers.

然后我终于以数向妈妈解释我的艺术了。

The fact that there are no real number solutions indicates that there are no eigen vectors.

没有数解的事表明没有特征向量。

I may very well get a fraction or a real number with a decimal point.

我很到一个小数点的分数或数。

Similarly, there's a sensible notion for scaling a function by a real number.

类似地 有一个数缩放函数的合理概念。

A real number with a decimal point and some number of digits after it.

一个数，后面有小数点和一些数字。

Now, Cantor says, start writing down a new real number.

康托说，现在开始写下一个新的数。

Well, if we draw them all in standard position, c could be any real number.

好吧，如果我们把它们都画在标准位置，c 以任何数。

So you each of them, x1 is a member of the reals, and x2 is a member of the reals.

所以你每个人，x1 数的成员，x2 数的成员。

And by the end of this process, you'll have a real number between zero and one.

在这个过程结束时，你会到一个介于 0 和 1 之间的数。

You can only have a finite number of values, while the normal distribution is defined over the entire real number line.

您只拥有有限数量的值，而正态分布在整个数线上定义的。

Well in this case, each of the variables  can take on any real number.

在这种情况下，每个变量都以采任何数。

0 minus 2 is minus 2, 3, minus 1 is 2, for t is a member of the reals.

0减2等于负2,3,减1等于2,因为t数的一员。

So we want to think about all possible pairs of real  numbers and the XY plane comes to mind.

因此，我们想要考虑所有的数对，我们会想到 XY 平面。