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本。

Using graph paper is a great way to practice this.

使用网格纸练习是个选择。

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?

你们真打算让我用彩笔和图表来做出如此重大决吗？

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

确实如此，我刚刚意识到我方格纸面比另面大。

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.

你需要个微波炉或个传统烤箱、 、个土豆，和从你研究日记中打印出张图表纸。

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，你应该知道真正哈密顿路径对于这些端点是可能。

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出了量子计算机范围。

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.

现在我鼓励你拿出些方格纸， 实际绘制这个向量，并考虑它与这里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那些二维和三维几何问题同， 这些问题中大多数都在 500 多个维度中义。