In fact, the problem with relativity wasn't that it involved a lot of differential equations, Lorentz transformations, and other complicated mathematics (though it did-even Einstein needed help with some of it), but that it was just so thoroughly nonintuitive.

实际上，相对论问题并不在于它涉及许多微分方程、洛伦兹变换和其他复杂数学（虽然它确实涉及——有方面连爱因斯坦也需要别人帮忙），而在于它不凭直觉所能完全搞懂。

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

在获取学位过程中，你必须学习微积分一，微积分二，微积分三，微分方程，要学习大量数学。

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

我发现我不太长几何，但我长微分方程。

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

你道，这量子力学，求解偏微分方程。

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

因此，所有这些工作通常都围绕着求解三维偏微分方程展开。

So I just asked and I'm like, hey, write me a Python function using some numerical ODE solver to find, you know, find a solution of the Lorenz equations.

所以我就问了一下，就像这样，嘿，给我写一个使用数值常微分方程求解器Python函数来求解Lorenz方程解。

Keeps an English dictionary handy so that language doesn't become a barrier when she's learning from Lawrence C. Evans' book Partial Differential Equations.

随时备有一本英语词典，以便在她学习劳伦斯·C·埃文斯《偏微分方程》一书时，语言不会成为障碍。

But to know the two things in physics to solve a partial differential equation are the initial conditions and the boundary conditions.

但要道在物理学中求解偏微分方程所需两个要素初始条件和边界条件。

I saw the differential equations you listed, and I don't think an analytical solution is possible, only a numerical one.

我看了你列出微分方程，我认为不可能有解析解，只能有数值解。

Using the corrected reaction coefficient of the foundation bed, the differential equation of tunnel deformation was established, and the longitudinal displacement matrix of the tunnel was calculated using the finite difference method.

利用修正后基床反作用系数，建立隧道变形微分方程，采用有限差分法计算隧道纵向位移矩阵。

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

然后你会发现，只要满足这个微分方程，最小作用原理就会起作用。

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这篇名为《神经常微分方程》文章。

They're not into complex differential equations.

他们不长复杂微分方程。

I think I'm stuck in some classical mindset where, to me, the local picture, the differential equation way of thinking about the universe, that that's really what's going on.

- 我想我陷入了一些古典思维模式，对我而言，局部图像、用微分方程思考宇宙方式才真正发生事情。

And you can change the parameters in there to get different behaviors and stuff, but it's all based on now it's one differential equation that you need to solve.

你可以调整其中参数以获得不同行为和效果，但这一切都基于现在你只需解一个微分方程。

This system will then be able to carry out the calculations we need and work out those differential equations for predicting the suns' movements.

这个系统将能够执行我们需要计算，并解决那些用于预测太阳运动微分方程。

An ordinary differential equation for the longitudinal deformation of an existing tunnel subjected to ground surcharge was established, and the analytical solution of the longitudinal deformation was obtained.

建立了地基附加作用下既有隧道纵向变形常微分方程，得到了纵向变形解析解。

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。

Like I didn't have an ordinary differential equation solver I could just call.

就像我没有一个可以直接调用常微分方程求解器。