(The chapter on non-linear partial differential equations, to be precise.)

准确地讲是非线性偏分方程。

How about this for the app name? The Surprisingly Helpful Equation-Linked Differential Optimized Numerator.

应用程序叫这名儿怎样 出奇-好用-分-方程-相 优化-计算器。

I discover that I'm not very good at geometry, but also that I excel in differential equations.

我发现我不太擅，但我擅分方程。

In this degree, you're gonna have to go through calculus one, calculus two, calculus three, differential equations, a lot of math.

在获取位的过程中，你必须习积分一，积分二，积分三，分方程，要习大量的数知识。

Last year, I was doing differential topography at Cal Tech, and now I sketch leaves in milk foam for adult skateboarders.

去年我还在加州理工院做分地形，如今却为老大不小还玩滑板的人在奶泡上画叶子。

You know, it was the old quantum mechanics, solving partial differential equations.

你知道，这是旧的量子力，求解偏分方程。

This article by Max Slater on differential programming does this particularly well.

马克斯·斯莱特这篇分编程的文章做得特别好。

Many differential equations students among you might enjoy thinking about how you solve this.

许多习分方程的生可能会喜欢思考如解决这个问题。

Any differential calculus it is beautifully simple.

任分，都极其简洁优美。

Equation (4) is a high-order ordinary differential equation, which is not convenient to solve directly.

方程（4）是一个高阶常分方程，不方便直接求解。

And so essentially I've got a function here to describe the differential equation.

这里我有一个函数来描述这个分方程。

And the best paper at this year's symposium was this thing called Neural Ordinary Differential Equations.

今年研讨会的最佳论文是这篇名为《神经常分方程》的文章。

So you're just explicitly solving the differential equations that describe the circuit elements.

所以你只是显式地求解描述电路元件的分方程。

They're not into complex differential equations.

他们不擅复杂的分方程。

I mentioned solving PDEs and this iterative process, so we've developed another benchmark called the HPCG benchmark.

我提到了求解偏分方程和这个迭代过程，所以我们开发了另一个基准测试叫做高性能共轭梯度基准测试。

And so we were theorizing that, and I wrote a couple of

所以我们当时在理论推导，我写了道分方程，最终算出，根据军队规模，我认为比例必须达到1.7。也就是说，他们需要消灭相当亡者大军1.7倍数量的士兵，才能赢得这场战斗。

Needless to say, we use a P.I.D. Controller to minimize the dispersions to the landing site.

不用说我们必须使用比例-积分-分控制器来尽量减少着陆点的散布范围。

So what we found is that the action is minimal for the path that satisfies this curious differential equation.

因此我们发现，对满足这个奇怪的分方程的路径，作用量是最小的。

Then you see that the principle of least action works whenever this differential equation is satisfied.

然后你会发现，只要满足这个分方程，最小作用原理就会起作用。

So often with differential equations, it might be attracted to a single point.

所以，对分方程来说，它可能会被吸引到一个单一的点。