Who'd like to take a crack at working out Gauss' equation?

有人想来试一下高的解法吗？

Out of curiosity, I looked at the solution, which walked me through different ways of solving the problem.

出于好奇，我看了一下解法，这个解法教我用不同的方法去解答此题。

Maybe you were hoping to sell the solution to Linus Roe yourself someday, make even more money.

也许你想要把解法卖给莱纳·洛，挣更多的钱。

It is a really challenging problem indeed because there are more constraints that we have to adhere to.

这确实个很难的问题，因为对解法有更多的限制。

What's incredible about this solution is that it works for any mainframe whose disks are a power of two.

这个解法的惊人之处，就只要主机的硬碟数量 2 的次方就能适用。

The American mathematician Alonzo Church first presented a solution to this problem in 1935.

1935年美国数学家Alonzo Church首先提出了这个问题的解法。

Incredibly, the solution to the pyramid's final code was far simpler than he had ever imagined.

令人难置信的, 金字塔最终密码的解法比他想象的要简单得多。

Or, if you are working on a math problem – an algebra problem, let's say – you could find a solution to the problem.

或者，如果你正在研究一道数学题——比方说，一道代数题——你到问题的解法。

If they could find the right solution — the right one out of 1 followed by 500 zeros, we'd have a neat explanation for everything in our universe.

如果他们能到正确的解法——1 后面有 500 个零的分之一的几率，我们就能对这个宇宙的一切给出最合理的解释。

Newer and newer research papers show up to both extend the possible scenarios that we can simulate, and there are also other works to speed up already existing solutions.

不断有更新的研究论文出现，包括扩展模拟的场景，还有一些工作用来加速已有的解法。这次我们讲的这篇文章提出了一种新技术，数学家们喜欢称之为“原-对偶”优化方法。

In fact there are more than 5,000 descendants of Sophia of Hanover who are eligible to succeed the throne, according to the language of the Act of Settlement.

事实上，根据《和解法》的语言，汉诺威索菲亚的后代有 5,000 多名有资格继承王位。

The original poster tried using a few computer programs, but none of them could give what's called the " closed form" of the answer — that's a precise and concise solution.

原帖者尝试使用了几个计算机程序，但没有一个能给出所谓的“闭合形式”答案即精确简洁的解法。

These vortex tubes provide an accurate representation of the vorticity information within the simulation, and this is one of the rare cases where the validity of such a solution can also be shown.

在模拟中，这些涡管实现了旋涡信息的一个精确再现，这展现这样一个解法的精确度中一个罕见的实例。

So the first time they solve the box, once  they kind of have that light bulb moment, they're really good at remembering that  solution and then solving it again and again.

所当他们第一次解开盒子时， 一旦他们有了那种灵光一现的感觉，他们就会非常善于记住那个解法， 然后一次又一次地解开它。

Make sure to have a look at the paper, which is certainly my kind of paper: lots of beautiful physics and a study on how to solve these equations so that we can obtain an efficient wet sand simulator.

一定要看一看这篇论文，它深得我心：其中有大量漂亮的物理学和关于这些方程解法的研究，因此我们才能够得到一个高效的潮湿沙地模拟器。