We've been trying to solve the equation without changing the underlying assumption about time.

我们一直以来试图解出这个方的前提条件是时间不变。

In it was a series of equations describing how complex shapes like these can arise spontaneously from simple initial conditions.

其中有一系列方，描述了像这样的复杂状如单的初始条件自发产生。

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的微分方。

Conditions are right for nuclear fusion, slowly turning mass into energy according to the equation E equals mc squared.

条件适宜进行核聚变，根据E等于mc平方的方， 量缓慢转化为能量。

And so I love simplified, give me a simplified model with, you know, a dynamical equation, some initial conditions, I'm very happy.

所以我喜欢化，给我一个化的模型，你知道， 一个动力学方，一些初始条件，我很高兴。

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分方所需的两个要素是初始条件和边界条件。

The conditions at the solar centre were sufficiently hot and dense to allow nuclear reactions to take place and mass to be destroyed, thus producing the energy that Einstein's equation predicted.

太阳中心的条件足够炽热和密集， 足以引发核反应并摧毁量，而产生爱因斯坦方所预言的能量。

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?

你想要做的就是给一些软件输入一个微分方和初始条件，然后问，这个初始条件会如演变？

The unit length is l. According to the finite difference principle, the finite difference form of Equation (4) is For the boundary conditions of the existing tunnel, it is assumed that both ends of the tunnel are free.

单位长度为 l。根据有限差分原理，方（4）的有限差分式为：对于现有隧道的边界条件，假设隧道的两端都是自由的。