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方程、洛伦兹变换和其他复学（虽然它确实涉及——有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。

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，你必须学习微积一，微积二，微积三，微方程，要学习大量学知识。

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

我发现我不太擅长几何，但我擅长微方程。

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

你知道，这是旧量子力学，求解偏微方程。

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

这里我有一个函来描述这个微方程。

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方程展开。

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解偏微方程所需两个要素是初始件和边件。

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

我看了你列出微方程，我认为不可能有解析解，只能有值解。

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

然后你会发现，只要满足这个微方程，最小作用原理就会起作用。

They're not into complex differential equations.

他们不擅长复微方程。

It's a core construct in the theory of probability, they're used a lot in solving differential equations and one context where you've almost certainly seen it if not by this name is multiplying to polynomials together.

它是概率论中一个核心概念，在求解微方程时经常被使用， 而且如果你不是通过这个名字来认识它话， 你几乎肯定在多项式乘法中见过它。

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、用微方程思考宇宙方式才是真正发生事情。

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方程。

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，建立隧道变形微方程，采用有限差法计算隧道纵向位移矩阵。

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方程求解器。

What you want to do for the math underlying this is to basically feed some software, a differential equation and an initial condition and just say, how does this initial condition evolve?

你想要做就是给一些软件输入一个微方程和初始件，然后问，这个初始件会如何演变？

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方程，得到了纵向变形解析解。

There are so many applications for FFTs from solving differential equations to radar and sonar, studying crystal structures, WiFi and 5G.

FFT 应用非常广泛，从求解微方程到雷达和声纳、研究晶体结构、WiFi 和 5G。