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它涉及许多分方、洛伦兹变换和其他复杂的数学（虽然它确实涉及——有的方面连爱因斯坦也需要别人帮忙），而是在于它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，必须学习积分一，积分二，积分三，分方，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，但我长分方。

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

知道，这是旧的量子力学，求解分方。

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分方展开。

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分方求解器的Python函数来求解Lorenz方的解。

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·埃文斯的《分方》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.

但要知道在物理学求解分方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.

我看了列出的分方，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.

利用修正后的基床反作用系数，建立隧道变形分方，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.

然后会发现，只要满足这个分方，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分方。

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》的文章。

They're not into complex differential equations.

他们不长复杂的分方。

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模式，对我而言，局部的图像、用分方思考宇宙的方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.

可以调整其的参数以获得不同的行为和效果，但这一切都基于现在只需解一个分方。

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，并解决那些用于预测太阳运动的分方。

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分方，得到了纵向变形的解析解。

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序在求解三分方时所执行的操作。

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分方求解器。