When it comes to pronunciation, this is a binomial.

说到发音，这是名词组。

And me Alice. And today's show is all about binomials.

我是爱丽丝。本期我们要学是组合词。

But we like " chalk and cheese" , we're very different, another binomial.

但我们像“粉笔和奶酪”，我们非常不同，这是另一个名词组。

And we did that in kind of the intuition behind the binomial theorem videos.

我们是在利用二项式定理法来解决问题。

Here, " rain or shine" , another binomial but with " or" , come rain or shine.

这里，“rain or shine”，是用“or”连名词组，意思是风雨无阻。

We'll look at what binomials are, what they mean and how to use them.

我们将会了解什么是组合词，如何运用它们。

And another binomial: bit by bit — this time, the word in the middle is by instead of and.

bit by bit——这次，中间单词是 by 而不是 and。

We can find out by using the binomial distribution.

我们可以使用二项分布找出答案。

Does anyone know what a binomial is?

有人知道二项式是什么吗？

Or as some call them, binomials. Yes, those short and sweet phrases English speakers love to use in everyday English.

也叫做组合词。那些说英语人喜欢在日常英语中使用简短而甜美短语。

This week, we will begin to study the binomial theorem.

这周我们要开始学二项式定理。

If you, don't a positive integer the binomial theorem, Newton's binomial theorem will give you an infinite sum.

如果你不知道二项式定理中正整数，牛顿二项式定理将给出一个无穷和。

Together these two parts make up the binomial species name homo sapiens.

这两个部分共同构成了二项式物种名称 homo sapiens。

Now you've probably seen binomial names before, written both correctly and incorrectly.

现在您可能以前见过二项式名称，包括正确和错误书写式。

A binomial is a mathematical expression containing two terms.

二项式是包含两个项数学表达式。

So this is the sampling distribution for a binomial.

所以这是二项式抽样分布。

And actually, let me write this in terms of a binomial coefficient.

实际上，让我用二项式系数来写这个。

Just like the binomial distribution is and the Poisson distribution, it's based on a bunch of parameters.

就像二项分布和泊松分布一样，它们都是基于一系列参数。

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 为正整数时才应用它，这是有道理。

But if you think about it that way, the binomial coefficient kind of starts to make sense.

但如果你这样想，二项式系数就开始有意义了。