The boundary condition of the universe is that it has no boundary.

宇宙的边界，就是它没有边界。

One example of a boundary condition is solar radiation.

边界条件的一个例子就是日射。

Most boundary conditions have well-defined values that change slowly, if at all.

大多数边界条件都有明确定义的值，这些值如果有变化也非常缓慢。

And we're gonna solve it for the boundary conditions of a lattice and a particle in the box.

我将要用它来计算一个晶格和一个粒子在盒子中的 边界条件。

Even the slightest change in these boundary conditions represents a much larger shift for the chaotic weather system.

即使这些边界条件仅有细的变化，也会让混沌的天气系统产生大幅变化。

These parameters are known as boundary conditions, and as their name suggests, they act as constraints on climate and weather.

这些参数是所谓的边界条件，如同字面含义，它气候及气象的限制条件。

It also handles boundary conditions, which means that these details are correctly added even if our smoke puff hits an object.

它也可以处理边界情况，那意味着即使我的烟雾团碰到了物体，这些细节也能被正确添加进来。

But fortunately, we can identify what human behaviors are impacting the climate most by tracking which boundary conditions are shifting.

幸运的是，我可以找出什么样的人类行为对气候的影响最大，方法是追踪哪些边界条件正在改变。

What were the " boundary conditions" at the beginning of time?

时间之初的“边界条件”是什么？

One such possibility is what are called chaotic boundary conditions.

一种这样的可能性就是所谓的混沌边界条件。

This model took the spatial soil variability and arbitrary elastic boundary conditions into consideration.

该模型考虑了空间土壤变化和任意弹性边界条件。

Further predictions of the no boundary condition are currently being worked out.

目前正在研究无边界条件的进一步预测。

This may be due to the difference between the boundary conditions and the compression characteristics of the foundation soil.

这可能是由于边界条件和地基土的压缩特性之间的差异。

One could say: " The boundary condition of the universe is that it has no boundary" .

可以说：“宇宙的边界条件是它没有边界”。

As I said, I thought at first that the no boundary condition did indeed imply that disorder would decrease in the contracting phase.

正如我所说，起初我认为无边界条件确实意味着在收缩阶段无序会减少。

Using the no boundary condition, we find that the universe must in fact have started off with just the minimum possible non-uniformity allowed by the uncertainty principle.

使用无边界条件，我发现宇宙实际上一定是从不确定性原理允许的最小可能非均匀性开始的。

Rather, it is that the no boundary condition causes disorder to increase and the conditions to be suitable for intelligent life only in the expanding phase.

相反，无边界条件导致无序增加，只有在扩张阶段才适合智能生命的条件。

Thus all the complicated structures that we see in the universe might be explained by the no boundary condition for the universe together with the uncertainty principle of quantum mechanics.

因此，我在宇宙中看到的所有复杂结构都可以用宇宙的无边界条件和量子力学的不确定性原理来解释。

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，方程（4）的有限差分形式为：对于现有隧道的边界条件，假设隧道的两端都是自由的。