Now, we talked about Newtonian mechanics, leading all through different Lagrangian, Hamiltonian mechanics.

现在，我们讨论了牛顿力学，贯穿了不格朗日力学和哈密顿力学。

And so going back to a Hamiltonian perspective, I think might be interesting.

因此，回顾汉密尔顿观点，我认为可能会很有趣。

What are the aspects of a Hamiltonian perspective?

哈密尔顿视角方面有哪些？

I can write down Hamiltonian, well, I can write down the energy function basically of their interactions.

我可以写下哈密顿量，基本上，也就是它们相互作用能量函数。

In any grid with that configuration, a Hamiltonian path that starts and ends in opposite corners is impossible.

在具有该配置何网格中，一条在对角开始和结束哈密顿路径是不可能。

So a Hamiltonian path on an even-sided grid that starts on black will have to end on white.

因此，从黑色开始偶边网格上哈密顿路径必须以白色结束。

This puzzle is related to the Hamiltonian path problem named after the 19th century Irish mathematician William Rowan Hamilton.

这个谜与以 19 世纪爱尔兰数学家 William Rowan Hamilton 命名哈密顿路径有关。

The challenge of the path problem is to find whether a given graph has a Hamiltonian path.

路径挑战是找出给定图是否具有哈密顿路径。

This puzzle adds a twist to the Hamiltonian path problem in that you have to start and end at specific points.

这个难为哈密顿路径增加了一个转折点，因为您必须在特定点开始和结束。

But before you waste a ton of graph paper, you should know that a true Hamiltonian path isn't possible with these end points.

但是在你浪费大量方格纸之前，你应该知道真正哈密顿路径对于这些端点是不可能。

However, in any grid with even numbered sides, opposite corners are the same color, so it's impossible to start and end a Hamiltonian path on opposite corners.

然而， 在何具有偶数边网格中，对角是相颜色，因此不可能在对角上开始和结束哈密顿路径。

That frustrated a lot of people because they wanted a sort of man on horseback, a kind of Hamiltonian figure or an Aaron Burr or somebody of that stamp.

这令很多人感到沮丧， 因为他们想要一个骑在马背上男人，一个像汉密尔顿那样人物， 或者像亚伦·伯尔那样人。

For his part, Mr Dunkelman argues that progressives must move away from so-called Jeffersonian instincts, which favour localism, diffuse power and plentiful vetoes, and towards Hamiltonian ones, which point to centralising power in order to get things done.

邓克尔曼认为， 进步人士必须摆脱所谓杰斐逊式直觉，即倾向于地方主义、分散权力和众多否决权，而转向汉密尔顿式理念， 即集中权力以实现目标。