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，相对论的问题并不在于涉及许多微分、洛伦兹变换和其他复杂的数学（虽实涉及——有的面连爱因斯坦也需要别人帮忙），而是在于不是凭直觉所能完全搞懂的。

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

在获取学位的过中，你必须学习微积分一，微积分二，微积分三，微分，要学习大量的数学知识。

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。

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

你知道，这是旧的量子力学，求偏微分。

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三维偏微分展开。

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.

所以我就是问了一下，就像这样，嘿，给我写一个使用数值常微分求器的Python函数来求Lorenz的。

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·埃文斯的《偏微分》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.

但要知道在物理学中求偏微分所需的两个要素是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.

我看了你列出的微分，我认为不可能有析，只能有数值。

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.

利用修正后的基床反作用系数，建立隧道变形微分，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.

后你会发现，只要满足这个微分，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。

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《神经常微分》的文章。

They're not into complex differential equations.

他们不长复杂的微分。

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的思维模式，对我而言，局部的图像、用微分思考宇宙的式才是真正发生的事情。

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.

你可以调整其中的参数以获得不同的行为和效果，但这一切都基于现在你只需一个微分。

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的计算，并决那些用于预测太阳运动的微分。

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的常微分，得到了纵向变形的析。

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

因此，匹配或试图模仿应用序在求三维偏微分时所执行的操作。

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的常微分求器。