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

准确地讲是非线性偏微分方程。

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

发太擅长几何，但擅长微分方程。

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

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

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

你知道，这是旧的量子力学，求解偏微分方程。

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

你们中的许多微分方程学生可能喜欢思考如何解决这个问题。

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的微分方程。

In addition, the influence of ordinary differential equation parameters on tunnel longitudinal deformation was analyzed.

此外，还分析了常微分方程参数对隧道纵向变形的影响。

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

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

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

方程（4）是一个高阶常微分方程，方求解。

To obtain the governing differential equations for the actual nodes near circumferential joints, virtual nodes are specially added near the joints.

为了获得圆周关节附近实际节点的控制微分方程，在关节附近专门添加了虚拟节点。

Combining Equations (8), (9), and (17a, 17b, 17c, 17d), the governing differential equations of all actual nodes of the tunnel can be obtained.

结合方程 （8）、（9） 和 （17a， 17b， 17c， 17d），可以得到隧道所有实际节点的控制微分方程。

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的常微分方程，得到了纵向变形的解析解。

So if you could imagine all those differential equations that economists write down, with all the squiggles and the swirls, to say this is what's going to happen to the economy.

因此，如果你能想象经济学家写下的所有微分方程，以及所有的曲线和漩涡，那么这就是经济将发生的情况。

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，建立隧道变形微分方程，采用有限差分法计算隧道纵向位移矩阵。

The adjusted coefficient of the bed pressure is used to establish the differential equation of tunnel deformation, and the finite difference method is used to obtain the tunnel longitudinal displacement matrix.

利用调整后的床压系数建立隧道变形微分方程，采用有限差分法得到隧道纵向位移矩阵。

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，相对论的问题并在于它涉及许多微分方程、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），而是在于它是凭觉所能完全搞懂的。

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.

它是概率论中的核心构造，它们在求解微分方程中被大量使用， 并且如果是通过这个名称， 您几乎肯定看到它， 那就是多项式相乘。

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

利用修正后的基床反作用系数，建立隧道变形微分方程，采用有限差分法得到隧道纵向位移的解矩阵。

First, the additional load at the existing tunnel position caused by ground overloading is calculated; then, the calculated external load is applied to the existing tunnel, and the differential equation of longitudinal deformation of the existing tunnel is established.

首先，计算地面超载引起的有隧道位置的附加荷载;然后，将计算出的外荷载施加到既有隧道中，建立既有隧道纵向变形微分方程。