But at least I'd got the squared paper or I'd have had problems drawing it all to scale.

不过好我带的是格纸，不然想要全部按规定比例画来就太困难。

So does it sort of look like graph paper, but dark?

所它看起来有点像深色的格纸吗？

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， 它们不仅有点难格纸上描绘和解决，而我们相信它们甚至超子计算机的范围。

" Let us see, " said Caleb, taking up a pen, examining it carefully and handing it, well dipped, to Fred with a sheet of ruled paper.

凯勒布说，拿起一支笔， 仔细地检查一下， 然后把笔蘸好， 连同一张格纸递给弗雷德。

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

但是你浪费大格纸之前，你应该知道真正的哈密顿路径对于这些端点是不可能的。

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.

现我鼓励你拿一些格纸， 实际绘制这个向，并考虑它与这里的这个向有什么关系。

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，与我们过去高中时必须尝试用笔和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 500 多个维度中定义。