And I wouldn't have noticed it except for this factorization.

若非这次因式解，我本不会察觉到这一点。

Covarnet uses mathematical techniques like non-negative matrix factorization to find groups of cell subsets that often appear together, and then correlation analysis to map out the likely connections within those groups.

Covernet利用非负矩阵解等数学技术，识别出经常共同出现细胞亚群合，再通过相关性，制出这些合内部潜在关联。

And the beauty of this Goodall number is you can do a prime factorization of it, and you can work out exactly what symbols made up this card.

古道尔数美妙之处在于， 你以对它进行质因数解，然后就能准确地算出这张卡片是由哪些符号。

But other than the things you can get by multiplying some of these factors by -1, i or -i, factorization within the Gaussian integers is unique.

但除了将这些因子中一些乘以 -1、i 或 -i 以获得结果之外，高斯整数内因式解是唯一。

But unlike factorization, we need these problems to be so hard that they're even unbreakable with a quantum computer.

但与因式解不同，我们需要这些问题非常难， 以至于它们甚至无法用量子计算机破解。

We're looking for new, hard mathematical problems. We're looking for problems that, just like factorization, can be used on our smartphones and on our laptops today.

我们正在寻找新、困难数学问题。我们正在寻找以在今天智能手机和笔记本电脑上使用问题，就像因式解一样。

Well, remember how I mentioned that a factorization into gaussian primes can look different if you multiply some of them by i, -1 or -i?

还记得我提到过，如果你将一些高斯素数乘以i、-1或-i，它们解形式能会不同吗？

And this problem, called " integer factorization, " is exactly what each of your smartphones and laptops is using right now to keep your data secure.

这个问题称为“整数因式解”，正是您每部智能手机和笔记本电脑现在正在使用问题， 以确保您数据安全。

Again, this factorization is almost unique.

再次强调，这种解几乎是唯一。