We recommend using graph paper while you practice, like this Maruman Mnemosyne notebook.

我们建议使用网格纸书写，例如这款记忆女神系列笔记。

Using graph paper is a great way to practice this.

使用网格纸练是一个不错的选择。

And they were lampooned for their resemblance to graph paper.

它们还因为长得像坐标纸而被嘲笑。

So first, think of the graph paper.

首先，想想坐标纸。

You--you seriously expect me to make this monumental decision with colored pencils and graph paper?

你们真的算让我用彩笔和图表来做如此重大的决吗？

It does, and I just realized that my graph paper is bigger on one side than the other.

确实如此，我刚刚意识到我的方格纸的一面比另一面大。

You need a microwave or a conventional oven, a set of scales, a potato, and a piece of graph paper printed off from your study journal.

你需要一个微波炉或一个传统烤箱、 一台秤、一个土豆，和从你的研究日记中的一张图表纸。

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，你应该知道真正的哈密顿路径对于这些端点是不可能的。

So not only are they a little hard to depict and solve on graph paper, but we believe they're even out of the reach of a quantum computer.

因此， 它们不仅有点难以在方格纸上描绘和解决，而且我们相信它们甚至超了量子计算机的范围。

Now I encourage you to get some graph paper out and to actually plot this vector, and think about how it relates to this vector right over here.

现在我鼓励你拿一些方格纸， 实际绘制这个向量，并考虑它与这里的这个向量有什么关系。

Now, unlike those two- and three-dimensional geometric problems that we used to have to try to solve with pen and graph paper in high school, most of these problems are defined in well over 500 dimensions.

现在，与我们过去在高中时必须尝试用笔和方格纸解决的那些二维和三维几何问题不同， 这些问题中的大多数都在 500 多个维度中义。