Do we use the real numbers or do we approximate?

我们是用数还是用近似值？

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

然后我们会用数做一堆算。

By the way, million is a real number.

顺便说一句，百万是一个数。

Or more real numbers between 0 and 1?

还是0和1之间更多数?

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

世界上有无数浮点数。

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

您可以选择区间[0,4]中任何数。

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

有一个浮点数，是一个带小数点数。

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

然后我终于可以用数向妈妈解释我艺术了。

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

没有数解表明没有特征向量。

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

我很可能得到一个小数点分数或数。

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

类似地 有一个用数缩放函数合理概念。

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 可以是任何数。

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 是数成员，x2 是数成员。

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，你会得到一个介于 0 和 1 之间数。

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

您只能拥有有限数量值，而正态分布是在整个数线上定义。

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

在这种情况下，每个变量都可以采用任何数。

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是数一员。

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

因此，我们想要考虑所有可能数对，我们会想到 XY 平面。