There actually is something called the Riemann sphere that involves dividing by zero by a different method, but that's a story for another day.

事实上，有个叫黎曼球面东西，它涉及到通过同方法来除 0，天我们且谈这个。

Mr.Jonathan promised to secure the release of those still held. From Abuja the head of the BBC's Hausa Service Mansur Liman has this assessment.

乔纳森承诺解救目前仍被绑架学生，BBC驻豪萨分支机构记者曼苏尔·黎曼报道。

OpenAI's Kevin Wheel, who used to be their Chief Product Officer but is now their VP of Science, about a week ago tweeted, Now he clarified, I'm not claiming GPT-5 is ready to prove the Riemann hypothesis.

OpenAI凯文·惠尔，他曾是该公司首席产品官，如担任科学副总裁，大约一周前发推称：“我现在澄清一下，我并是说GPT-5已经准备好去证明黎曼猜想。”

And that's why so many people gravitate towards these like Riemann hypotheses or Fermat's last theorem or that simple paper, which is like just one page.

这就是为什么许多人会被诸如黎曼猜想、费马大定理或那篇简短论文所吸引，那篇论文仅有一页， 极为简洁。

The techniques in his case get a lot more sophisticated, after  all, Riemann was a pioneer in complex analysis.

在他情况下， 技术变得复杂得多，毕竟， 黎曼是复分析领域。

And so I don't... I'm more interested in knowing about the Riemann hypothesis or something.

所我对了解黎曼猜想之类东西更感兴趣。

One is Riemannian, one is Erismannian.

一个是黎曼，一个是埃里斯曼。

So for example, if you want to find the complex roots of a polynomial, or some of those million dollar zeros of the Riemann zeta function, this algorithm will do it for you.

所例如， 如果你想找到多项式复数根，或者黎曼zeta函数中那些价值百万美元零点，这个算法就能帮你找到。

And in the case of Einstein, he didn't develop Riemannian geometry, he just used them.

至于爱因斯坦，他并未开创黎曼几何，只是加运用。

Some of you may know that this is what the famous Riemann hypothesis is all about.

你们中有些人可能知道，这正是着名黎曼假设所涉及内容。

Just like our subsets puzzle, the way that  Riemann studied primes involved a discrete sequence we want to understand, something  carrying information about prime numbers, and then considering a function whose  coefficients are the terms in that sequence.

就像我们子集谜题一样， 黎曼研究素数方法涉及一个我们想要理解离散序列，这个序列携带着关于素数信息，然后考虑一个其系数为该序列项函数。

Of course our puzzle, which I promise  I'll share in just a moment, is a lot more innocent than the Riemann hypothesis; it's a toy problem.

当然， 我们谜题， 我保证马上会分享，比黎曼假设要简单得多；它只是一个练习题。