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

准确地讲非线性偏微分方程。

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

我发现我不太擅长几何，但我擅长微分方程。

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

在获取位过程中，你必须习微积分一，微积分二，微积分三，微分方程，要习大量数知识。

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

你知道，量子力，求解偏微分方程。

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

许多习微分方程生可能会喜欢思考如何解决题。

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

所以你只显式地求解描述电路元件微分方程。

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

方程（4）一高阶常微分方程，不方便直接求解。

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

里我有一函数来描述微分方程。

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

今年研讨会最佳论文篇名为《神经常微分方程》文章。

So it results in a lot of differential equations that need to be solved simultaneously.

因此，导致了大量需要同时求解微分方程。

They're not into complex differential equations.

他们不擅长复杂微分方程。

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

我提到了求解偏微分方程和迭代过程，所以我们开发了另一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，我写了几道微分方程，最终算出，根据军队规模，我认为比例必须达到1.7。也就说，他们需要消灭相当于亡者大军1.7倍数量士兵，才能赢得场战斗。

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，对于满足奇怪微分方程路径，作用量最小。

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

然后你会发现，只要满足微分方程，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，对于微分方程来说，它可能会被吸引到一单一点。

So all of those things usually center on solving the three-dimensional partial differential equations.

因此，所有些工作通常都围绕着求解三维偏微分方程展开。

So it matches or tries to imitate what applications do in solving that three-dimensional partial differential equation.

因此，它匹配或试图模仿应用程序在求解三维偏微分方程时所执行操作。

They derived and solved the differential equation of pipeline deformation under high-fill conditions.

他们推导并求解了高填充条件下管道变形微分方程。

One differential equation for every synapse, dendrite, or neuron in your system.

系统中每突触、树突或神经元都有一微分方程。